Tag Archives: reciprocity

Egalitarianism, altruism, spite and parochialism in childhood and adolescence – Fehr and collaborators

A short comment on two excellent and widely-read papers by Fehr and his collaborators: “Egalitarianism in young children” and “The development of egalitarianism, altruism, spite and parochialism in childhood and adolescence.”
Putting together these two papers, we can obtain an outline about how children respond to the typical allocation tasks that Fehr has used in his research with several samples of children and adults.
Oversimplifying, such an outline would look as follows:

  • Children give generous responses to the tasks between 3 and 6 years of age.
  • Starting from an age of six to eight years, children show already a tendency to sacrifice their own resources in order to be fair, increasing the likelihood of egalitarian allocations
  • Children give the most egalitarian, or “inequality-adverse” responses between 8 and 11 years of age (“egalitarianism peaks around the age of 8-11 years”).
  • Starting at 10 years of age, children start giving more altruistic responses, that are also “efficient” in the sense that they maximize the sum of payoffs (“the biggest possible cake”).
  • While previous studies have found that egalitarianism increases sharply in 3- to 8-year-old children, this motive loses its dominance in adolescence when the altruistic type becomes prevalent.
  • The proportion of such altruistic responses continues to increase up to 18 years of age. At that point, children’s responses are similar to those of adults.
  • Children are more altruistic with the ingroup, and less altruistic (and more spiteful) with the outgroup. This effect is higher in males, and increases with age (starting at around 10 years of age).
  • girls are significantly more likely to have egalitarian preferences than boys.
  • The ingroup-outgroup effect is bigger in boys than girls.
    I believe this research confirms the prevalence of an associative culture of peer exchange in preschool children versus a culture of economic, “strict” reciprocity between children starting with primary school.

Fehr, E., Bernhard, H., & Rockenbach, B. (2008). Egalitarianism in young children. Nature, 454(7208), 1079–1083. https://doi.org/10.1038/nature07155
Fehr, E., Glätzle-Rützler, D., & Sutter, M. (2013). The development of egalitarianism, altruism, spite and parochialism in childhood and adolescence. European Economic Review, 64. https://doi.org/10.1016/j.euroecorev.2013.09.006

Parochial cooperation in wild chimpanzees: A model to explain the evolution of parochial altruism

Lemoine, S. R. T., Samuni, L., Crockford, C., & Wittig, R. M. (2022). Parochial cooperation in wild chimpanzees: A model to explain the evolution of parochial altruism. In Philosophical Transactions of the Royal Society B: Biological Sciences (Vol. 377, Issue 1851). Royal Society Publishing. https://doi.org/10.1098/rstb.2021.0149

This is an exceptional paper. The authors define “parochial altruism” as taking individual costs to benefit the in-group and harm the out-group, and propose a model for the evolution of parochial altruism. The model applies to chimpanzees, but the idea is that this model might perhaps also explain how parochial altruism evolved in humans.

For this purpose, the authors review a vast number of papers in the field of cooperation and aggression in wild chimpanzees (and, to some extent, other animals) .

The model they propose is a complex one. It is relevant, for the issues we talk about in this blog, that the authors propose a positive feedback loop between aggressive encounters with external groups, on the one hand, and collaboration and cohesion within the group, on the other.

For example:

  • “In-group solidarity tends to increase in response to out-group conflict, suggesting a causal link between out-group threat and in-group cohesion” (p. 2).
  • “Evidence across taxa, including birds and mammals, demonstrate an immediate increase of in-group cohesion and affiliation following out-group threat, pointing towards the link between out-group conflicts and in-group favoritism” (p. 2).
  • “Cooperation is key in maximizing the chances of beneficial outcomes of out-group conflicts” (p. 5).
  • Group conflicts favor “the emergence and maintenance of cooperation among non-related individuals, the maintenance of strong social ties, in-group favoritism and hostility towards out-group members” (p. 7).
  • “The highly structured and collective border patrols and large coalitionary attacks observed in chimpanzees indeed suggest strong links between group-level cooperation and out-group threat” (p. 8).

All this is important and relevant for the origin of the state, as explained by my mentor, Juan Samaja. Individuals compete against each other (internal war), but the pressure of the external threats makes them unite against the common enemy (external war); this threat is one of the keys to the birth of the state, as already explained in Plato’s Republic.

Another interesting aspect is that the paper establishes a link between reciprocity and what we call “community”. “The accumulation of bonded relationships, embedded within a social network, provides a path by which group-level cooperation occurs. The hypothesis that direct reciprocity constitutes a mechanism enabling solving collective problems finds support in chimpanzees where regular social interactions within a community cement a sense of common belonging (a common affect), enabling group-level collective action and avoidance of defection” (p. 8). This of course works only for local groups and small-scale cooperation; large scale cooperation requires other normative and symbolic frameworks (a flag, a national narrative, etc.)

For those of you (readers) who follow my musings in this blog about the epistemological impact of social coordination, it is interesting to note that chimpanzees engage in border patrols, where they move along the edges of their territories to monitor and defend their boundaries. They check for signs of intruders, such as the scent of unfamiliar individuals or the sound of other chimpanzee groups in the area. If they detect signs of intrusion, they often engage in displays of aggression, such as vocalizing loudly, throwing rocks and branches, or charging at the perceived threat. Now, this behavior might be the oldest precursor of the cultural institution of “boundary”. This institution, incidentally, is the one that philosopher John Searle uses as an example to explain the very notion of “institutions” (differentiating a wall that encircles a village as a physical barrier that can’t be crossed from a symbolic stone that marks the limit of a village and shouldn’t be crossed). Once we humans learned how to play the game of boundaries on an institutional level, we started to demarcate boundaries on the epistemological level. Ancient Rhetoric is born as an exercise to argue for the property of land, to have the limits of one’s property recognized. In Plato’s Republic, the limits of the city are delineated hand in hand with the limits of the citizen (both are defined almost in the same way), as well as the boundaries of the concept (of the Good, for example). Even Kant’s transcendental deduction follows to the detail the format of a legal deductio aimed at demarcating the territory and the boundaries of a state (Kant applies this format to demarcate the limits… of pure reason).

Paulus & Moore On Recipient-Dependent Sharing Behavior and Expectations

This study aimed at investigating developmental changes in 3-, 4-, and 5-year-old children’s sharing behavior and their expectations of others’ sharing. Children were administered two tasks. In the Self task, they could distribute valuable items between themselves and a friend or a disliked peer; in the Other task, they were asked to predict how another agent would distribute valuable items between himself and a friend or a disliked peer. Additionally, whether sharing was costly for the agents or not was manipulated. Three results:

  1. Basic prosocial orientation: Children of all age groups behaved more prosocially and expected more prosocial behavior from another protagonist when the choice bore no cost. This is kind of an obvious result in view of the existing literature. Previous studies have shown that children act prosocially from early on and distribute resources equally between others. Children also have a corresponding expectation that others will behave prosocially. Even 2-year-olds show a sensitivity for equal distributions in a looking-time task. By 3 years, children showed a general disposition to expect that someone will share with others; at this age, children possess an undifferentiated expectation that humans behave prosocially toward each other.
  2. Recipient-dependent sharing: However, 4- and 5-year-old children, but not 3-year-old children, differentiated between a friend and a disliked peer as potential recipients in the sharing and the sharing expectation tasks. Thus, the study found developmental changes, with 3-year-old children not differentiating between different recipients (the 3-year-old children decided to act prosocially in the majority of trials) and 4- and 5-year-old children showing a clear differentiation. The 4- and 5-year-old children expected someone to share more with a friend than with a disliked peer, indicating specific expectations of how the relationship between an agent and another person affects the probability of showing prosocial behavior. This shows that the undifferentiated expectation that people generally share with others becomes differentiated in the course of the preschool period.
  3. Relationship between first-person behavior and third-person expectations: The same developmental trend was found for children’s own sharing and their expectations of other people’s sharing behavior, suggesting that both show a parallel developmental progression on a group level. Moreover, at 5 years of age, but not at 3 or 4 years, sharing behavior and sharing expectations were on a personal level closely related to each other. In other terms, a within-subject relation was found between 5-year-old children’s own sharing behavior and their sharing expectations. In conclusion, the relation between sharing behavior and sharing expectations emerges strongly at 5 years of age.

Carol Rose on the moral subject of property

Rose, C. M. (2007). The Moral Subject of Property. William and Mary Law Review, 48(5), 1897–1926.

In this beautifully written article, Carol Rose makes the argument that although property arrangements might seem unfair or unjust in many respects (how it is acquired, how it is distributed across society, its effect on the commoditization of sacred or moral aspects of social life), the institution of property is nevertheless beneficial for society at large insofar as it creates stability and incentives for individuals to take care of their property, invest, trade and create more value for society at large in the long run. So even when arrangements are not perfect in many specific cases (because they have morally questionably implications), it’s better to tolerate these shortcomings and to apply the established rules of ownership acquisition and distribution, because “property, as an institution, requires stability in people’s expectations about their own and other people’s claims.”

The article also contains a couple of nice quotes about one of my favorite topics: the relationship between associative and strict reciprocity: “Gift exchange cements community bonds-from a community of two on up to many more-keeping all the participants in a vague but nevertheless socially and emotionally charged condition of mutual give and take.” “(…) Gift giving differs from market exchange because through gifts, each party engages in imaginative participation in the life of the other, helping to cement relationships.”

Pinker on moral realism

I’ve recently read an old opinion piece by Steven Pinker (http://www.nytimes.com/2008/01/13/magazine/13Psychology-t.html).

It’s a brilliant article. It summarizes current trends on the scientific study of morality. As I frequently do, I will focus on a tiny aspect of his argument.

In addition to a review of the intellectual landscape in this domain, towards the end Pinker integrates different recent findings and prevalent theories into the theoretical position of “moral realism”. By this expression, he means that morality is not just the result of a number of arbitrary conventions or contingent historical traditions. There are, rather, objective and universal reasons why fundamental moral rules are universally valid. There are moral truths just as there are mathematical truths. Let me quote him:

“This throws us back to wondering where those reasons could come from, if they are more than just figments of our brains. They certainly aren’t in the physical world like wavelength or mass. The only other option is that moral truths exist in some abstract Platonic realm, there for us to discover, perhaps in the same way that mathematical truths (according to most mathematicians) are there for us to discover. On this analogy, we are born with a rudimentary concept of number, but as soon as we build on it with formal mathematical reasoning, the nature of mathematical reality forces us to discover some truths and not others. (No one who understands the concept of two, the concept of four and the concept of addition can come to any conclusion but that 2 + 2 = 4.) Perhaps we are born with a rudimentary moral sense, and as soon as we build on it with moral reasoning, the nature of moral reality forces us to some conclusions but not others.”

So, just as Stan Dehaene talks about a “number sense”, Pinker talks about a “moral sense”. Just as there is a mathematical reality and mathematical facts, there is a moral reality and moral facts.

According to Pinker, moral realism is supported by two arguments:

1) Zero-sum games are games in which one party has to lose in order for the other to win. In nonzero-sum games, by way of contrast, win-win solutions are possible. Now, in many everyday situations, agents are better off when they act in a generous (as opposed to selfish) way. Thus, these everyday situations can be analyzed (in terms of game theory) as “nonzero-sum games.” His words: “You and I are both better off if we share our surpluses, rescue each other’s children in danger and refrain from shooting at each other, compared with hoarding our surpluses while they rot, letting the other’s child drown while we file our nails or feuding like the Hatfields and McCoys.”

Pinker does not explain this first argument clearly, but he seems to imply that societies respond to a number of constraints by developing norms and structures (such as reciprocity or mutual respect). A group or social organization that enforces the rules of reciprocity, mutual respect, authority, etc., is probably more stable, and it’s in a position to deliver more good to a greater number of members, as compared with a group that does not enforce those standards. This is not a new theory. It is already postulated by Plato (a defender of both mathematical realism and moral realism) in the Republic. It is also advanced, with different nuances, by more recent authors such as Hegel, Piaget, Quine, and others.

Now, in what sense might concepts like “just” or “moral” be real? Only in the sense of being a kind of “pattern” or “form” that regulates human interaction (they are “ideal realities”, not physical realities). Where might such patterns, such ideal realities, come from? They grow out of natural evolution and cultural history; they develop in human experience, relationships, “praxis” (as a Marxist would say). But if “moral truths” emerge from (are conditional on) natural and cultural history, and history is woven by the actions of free humans, can we still say that there is a universal, binding, “true morality”? Is such a “true” form of justice or morality valid for any possible individual or any possible society? At this point, everything gets blurry and fuzzy. My opinion is that, yes, there is one true universal morality, but that it is true in the context of our specific world history. So, ultimately, moral truths are not absolute (nothing is absolute unless you believe in god), but conditional on human nature, human history and human culture. They are real and universal within this context.

I quote Pinker again: “The other external support for morality is a feature of rationality itself: that it cannot depend on the egocentric vantage point of the reasoner. If I appeal to you to do anything that affects me — to get off my foot, or tell me the time or not run me over with your car — then I can’t do it in a way that privileges my interests over yours (say, retaining my right to run you over with my car) if I want you to take me seriously. Unless I am Galactic Overlord, I have to state my case in a way that would force me to treat you in kind. I can’t act as if my interests are special just because I’m me and you’re not, any more than I can persuade you that the spot I am standing on is a special place in the universe just because I happen to be standing on it.”

“Not coincidentally, the core of this idea — the interchangeability of perspectives — keeps reappearing in history’s best-thought-through moral philosophies, including the Golden Rule (itself discovered many times); Spinoza’s Viewpoint of Eternity; the Social Contract of Hobbes, Rousseau and Locke; Kant’s Categorical Imperative; and Rawls’s Veil of Ignorance.”

“Morality, then, is still something larger than our inherited moral sense.”

This second aspect, that one might call “generalized reciprocity”, simply consists in recognizing that others have the same rights that we demand for ourselves. This may have a cost in the short term (I cannot rape your daughter or loot your farm) but it will pay off in the long run (I feel that my land and my family are safer, which is a higher good). In our market-penetrated, contractual society, this reciprocal consideration takes the form of an ability to adopt, in everyday discourse, the point of view of others, overcoming our limited perspective and progressively approaching an inter-subjective or trans-subjective point of view. But, against Pinker, I don’t think that this is a different point than the previous one; it is rather a facet of it. Human societies have developed, throughout history, a more complex, democratic, and in some ways egalitarian structure; at the same time, markets have become central institutions of modern societies. Argument 1 is: societies have evolved internal structures that respond to certain constraints. From there, one can derive argument 2: such societies have tended to make generalized reciprocity both a relational pattern and a moral ideal.

Kanngiesser on children’s application of the merit principle

Text #9

Kanngiesser, P., & Warneken, F. (2012). Young Children Consider Merit when Sharing Resources with Others. PLoS ONE, 7(8).

This is a great paper. It tackles the classic problem of merit as a principle of fairness (or of distributive justice): rewards should be distributed according to how much someone contributed to a task.

Kanngiesser and Warneken did two studies about children’s application of the merit principle. They made children play against a puppet at a game of collecting (“fishing”) coins that were later exchanged for rewards. They varied the work-contribution of both partners by manipulating how many coins each partner collected. Three- and five-year-olds kept, on average, significantly more stickers for themselves in the more-work condition than in the less-work condition. Children, in other words, kept fewer stickers in trials in which they had contributed less than in trials in which they had contributed more than the partner, showing that they took merit into account. Therefore, it seems that three- and five year- old children already use merit to share resources with others, even when sharing is costly for the child.

Although this appears to show that children take merit into account to calibrate their responses, it should also be noted that children almost never give away more than half of the stickers when the partner had worked more. “Even though children were clearly able to consider different work contributions, this tendency was constrained by a self-serving bias.” Thus, merit-based sharing is also mixed with or calibrated by the egotistic, self-serving bias documented by Rochat and many others.

The paper also presents a similar, second study, that shows that children’s sharing behavior is not just determined by their own absolute work-effort. Rather, children appear to take into account their own and their partner’s relative contributions when allocating resources. (Therefore, there  is some kind of elemental proportional or relational thinking here). “Young children can use comparisons between work-contribution to allocate resources.”

Warneken & Tomasello – Emergence of contingent reciprocity in young children

Paper #7

Warneken, F., & Tomasello, M. (2013). The emergence of contingent reciprocity in young children. Journal of Experimental Child Psychology, 116(2), 338–350.

This is another crucial study by Tomasello and his team. The researchers designed games to be played individually by the toddlers participating in the study. The child and the researcher would play in parallel, side by side. At some point the child would need more resources to continue playing and these would have to be provided by the researcher; later the researcher would lack resources and the child would have the opportunity to either help the researcher or defect. As the authors put it: “we gave 2- and 3-year-old children the opportunity to either help or share with a partner after that partner either had or had not previously helped or shared with the children. Previous helping did not influence children’s helping. In contrast, previous sharing by the partner led to greater sharing in 3-year-olds but not in 2-year-olds.”

These results do not support theories claiming either that reciprocity is fundamental to the origins of children’s prosocial behavior or that it is irrelevant. Instead, they support an account in which children’s prosocial behavior emerges spontaneously but is later mediated by reciprocity.

It is not until 3.5 years of age that children modulate their sharing contingent on the partner’s antecedent behavior. Children first develop prosocial tendencies (already present in babies or young toddlers) and later those tendencies become mediated by reciprocal strategies. Helping and sharing emerge before children begin to worry about direct reciprocity. Later in development, they seem to become more sensitive to reciprocity, adjusting their prosocial behavior accordingly.

Three dimensions of institutional experience at 3 years of age

At some point I will write extensively in this blog about one of my central tenets: children’s everyday social experience is best understood when analyzed into three institutional dimensions that I call: inclusion, hierarchy and reciprocity.

For the time being, here is a little example that shows how these three dimensions are present in my son’s everyday interactions.

  1. Inclusion: Starting at about 3 years of age, whenever I announce that I am going to do something (go shopping, eat some yogurt, cook, take a nap, etc.) he usually replies “me too” (“yo también”), “I’ll go with you” (“te acompaño”) or “Let me help you” (“te ayudo”). He is thereby including himself in a group (formed by two or more people); he is inserting himself, through speech, within an “us”, and assumes that the activity in question is not performed by me and by him at the same time but by a collective formed by both of us. By the way: Michael Tomasello talks a lot about this specifically human ability to do things together, that is, to cooperate (Tomasello, 2009). At about the same age he starts talking about his friends. For example he refers to his cousin F. by saying “mío amigo” (“my friend”); he also mentions frequently that “F. is my friend”. When he’s about to leave for kindergarten he mentions he wants to meet his friends to play (“voy a jugar con míos amigos”). To sum up: he acknowledges that there is a sub-group of friends within the larger group of human beings; he shares with his friends a type of experience (peer play) that is different from what he does with his older sister, adults, etc. He includes himself in this proto-community. At about 3 years and 4 months he says that his music teacher, Maxi, is my friend, because “we both have a beard”.
  2. Hierarchy: There is also a hierarchic dimension in children’s everyday experience. L. differentiates between grown-ups and kids (“grandes” and “chicos”) in his speech; he also knows that grown-ups are entitled to a number of things from which kids are excluded (manipulating dangerous objects such as pots with boiling water or oil, drinking wine, driving, giving orders to other kids, staying up late, etc.) And it is clear, in many situations, that he would like to be a grown up (he says he’s “big”; he engages in pretend play in which he’s a grown-up).
  3. Reciprocity: this dimension of institutional life is obviously present in many everyday episodes, both involving adults and other children. In this blog, we have discussed object trading and give-and-take games, and will continue to provide similar examples. We might also mention that reciprocity is strongly embedded in linguistic practices and language games such as mutual greeting, thanking and welcoming, etc., in which the participants’ roles are symmetrical and interchangeable.

Tomasello, M. (2009). Why we cooperate. Human Resource Management (Vol. 49, p. 206). MIT Press.

Kitchener on Piaget as a sociologist

This post presupposes many others. Don’t start here.

I’ve just read Richard Kitchener’s excellent paper on Jean Piaget as a sociologist (Kitchener, 1991). He rightly emphasizes the normative aspect in Piaget’s approach to knowledge. Part of the unfair criticism that the Piagetian legacy endures these days comes from authors who neglect or just don’t understand such normative aspect (A. Gopnik’s publications are good examples of this intellectually shortsighted attitude). I’ve insisted on this topic in previous posts such as this one or this one or this one, and will be writing more about it in the future.

What do we mean when we say that epistemic knowledge and logic have an inescapable normative component? Our point is that individuals engaged in the construction of epistemic knowledge are different from animals in that they are not simply trying to solve problems posed by their environment (that is, they’re not just trying to be effectively adapted to the world) but they are trying to produce valid, legitimate knowledge that they can defend by means of reasons when questioned by interlocutors or adversaries. Ideally, these interlocutors challenge each other as equals, that is, they don’t use the argument from authority. “The need to justify one’s beliefs or actions emerges only under the particular social conditions of equality” (Kitchener, 1991, p. 433). Under conditions of equality people tend to cooperate with each other rather than to constrain or force each other to do certain things or to accept certain propositions. Rationality, in Piaget’s and Kitchener’s view, is a byproduct of peer interaction: cooperation generates reason (Kitchener, 1991, p. 430). Logic, to sum up, arises from interactions between individuals: “The Cartesian solitary knower, separate from social interaction with others, cannot construct an equilibrated logic” (Kitchener, 1991, p. 435).

Similarly, objectivity results from mutual exchanges of subjective perspectives between individuals: being objective “…requires an awareness that what one thinks may not coincide with what is true” (Kitchener, 1991, p. 429). This self-vigilance or, as Kitchener calls it, self-consciousness, is the psychological activity of an individual thinking and arguing with others, and subjecting herself to the normative rules of reasoning. “Rules of reasoning are thus normative obligations binding upon the individual (…) Reasoning in general requires normative principles of inference and the most adequate one is normative reciprocity” (Kitchener, 1991, pp. 425-426).

Kitchener illustrates this last point with a famous example from Piaget’s Études sociologiques: “two individuals, on opposite banks of a river, are each building a pillar of stones across which a plank will go as a bridge”. This creates a problem of action coordination between individuals that can be characterized in logical terms (correspondence, reciprocity, addition or subtraction of complementary actions). But the bridge example is an instance of what I call the technological approach to human action. That is, Piaget (and Kitchener) focus here not on the structure of social relations (the rules and institutions that organize life in common) but on the practical, effective coordination of actions that are a (more or less effective) means toward an end (building the bridge). The bridge example could have as well came out of the desk of a Vygotskian scholar, since it fits with the features of activity as defined by the socio-historical school: people organized in order to achieve a common goal and using tools available in their cultural context. The emphasis here, to say it again, is on technical action and not in the sense of justice inherent to social relations.

So I have two (external?) criticisms of Kitchener-Piaget: 1) to understand normativity (of social relations, and epistemic normativity as well) you need to pay attention to social institutions as they embody a sense of justice; a technical or technological view of human action won’t do; 2) institutions come with many flavors, reciprocity being a characteristic of one particular (albeit important) institution (contract). But there are other institutions (some of them based on authority) that are legitimate and can therefore be a source of valid statements. (There was rational argumentation before the emergence of Athenian democracy).

Kitchener, R. F. (1991). Jean Piaget: The Unknown Sociologist? The British Journal of Sociology, 42(3), 421–442. doi:10.2307/591188

 

Thinking about an experiment on “practical math” in normative contexts

I am trying to think about an experimental situation that would allow me to test how normative-institutional contexts impact on children quantitative reasoning. Ideally, it has to be an easy experimental task that can be tested quickly with children from different cultures. What follows is a half-baked draft. Your feedback and criticism is most welcome.

So this is the idea… Children (ages 4 to 7) are interviewed individually. During the interview, they are shown a series of very short puppet plays. After each play children are questioned about the best way to solve a problem that arose in the play. Children are required to offer quantitative answers to such problems; for example, “how much money does character A have to pay character B to get even?” or “How many blocks does character A need to add in order to complete the building?”, etc.  The narratives are different in nature. Some narratives provide a social and normative context to the problem, in the sense that they highlight certain social rules children need to take into account in order to respond appropriately to the situation. Other narratives, by way of contrast, highlight “technical” or “engineering” problems, and involve means-ends reasoning. They problems they involve are similar to the normative problems in their mathematical content, yet the narrative context is markedly different.

Examples:

A1: “Negative reciprocity and reparation”. Character A has a bag with three candy bars. Character A shows the bag to character B and tells her that she loves candy bars and that she plans to eat them with her friends the next day. Character A goes to sleep. Character B steals the bars and eats them. Character A wakes up and finds character B stole the candy, and asks character B to return them. Character B says she doesn’t have the candy anymore but that she can offer character A some money to make up for the stolen candy. She opens a purse and drops some coins and bills on the table. The child is asked to choose the coins and bills character B has to hand over to character A in order to get even. They child is questioned about how she made that decision; and how she calculated how many bills and coins that character B must give character A.

A2: “Destruction and reconstruction”. The child is shown a tower formed by six big blocks. The child is told that a powerful storm and strong winds hit the building during the night and broke the three upper stories of the building. She’s then given a number of smaller blocks of different sizes and is asked to rebuild the tower so that it is as high as it was before the storm. The child is questioned the criteria she used to select the blocks and to decide how many blocks to use.

B1. “Positive reciprocity”. Character A visits character B and shows up with a present: a stack of stickers or trading cards. Each character returns to her own home. Then character B says that character A was really nice and that she would also like to give her a present to “get even”. The child is asked to help character B prepare her present. She is shown a cup and a collection of marbles and is told to fill the cup up until there are enough for A’s present. The child is also asked about how she decided how many marbles to give; i.e. to justify her decision.

B2. “Bridging the gap”. The child is shown a model of a river. On the river there is half bridge built with legos. The bridge starts on one shore and goes only half-way over the river. The child is asked to pick the lego pieces that she would need to build the other half of the bridge. The set of lego pieces the child can choose from have a different size than the ones used to build the first half of the bridge.

All four situations involve some kind of addition and subtraction of different units; they also involve compensating different dimensions of problems (values of the goods exchanged, sizes of different objects, etc.) A1 and B1 are “social” and “normative”: they involve the concept of justice; A2 and B2 are “technical”: they involve a kind of means-ends reasoning.

One possibility is to give situations A1-B1 to one group and A2-B2 to a different group. One could then compare the reasoning and argumentation of children who are given a “normative” vis- à-vis a “technical” narrative. To this end, one might use the theory of argumentation and other tools of discourse analysis. One could also do some standardized numeracy tests (perhaps those used by Opfer & Siegler, Dehaene, Piagetian conservation tests, etc.) after the main tasks in order to evaluate if each of these normative contexts has “sensitized” the child to quantities in a special way; i.e. if the children who just completed the “technical” problem perform better or worse than the children who did the “social-normative” problem.

Another possibility is to give the same children all four situations so as to compare the features of quantitative thinking in technical vs. normative contexts in the same children.

Still thinking…

“Let’s trade” and “my turn”

My son L. is 3y 1m old. He’s started recently to use the expression “let’s trade” (“te cambio”). That is: he produces speech acts aimed at swapping objects with another person. For instance, he gives away his glass of milk in order to obtain a yoghurt cup I have. We exchange goods. He seems to understand that the proto- contract we thus celebrate involves the mutual surrender and handing over of possessions. The rules of reciprocity are no doubt regulating this interaction. Which doesn’t mean that the child can understand conceptually, let alone articulate, such rules.

In addition, when playing with other children, L. knows how to claim his turn to use a toy (shouts “¡Turno mío!”). He also uses this expression in other contexts; for instance, to demand his turn to drink mate (in a mate round shared with adults). Again: his understanding of the reciprocity rules involved is perhaps incipient. But L. is clearly starting to master the rhetorical forms that allow efficient access to the desired objects.

My hypothesis: the child first masters the rhetorical forms, and only later the conceptual content. Piaget’s prise de conscience (the conceptual, explicit insight) is the final product of a process that starts with immediate, un-reflected action. The process goes from the periphery of action to the center of explicit, conceptual thinking. Differently from Piaget, however, in the periphery I do not see the actions of an organism but the utterances of a retor.

Ritualized exchanges at three years of age

My son L. is taking a bath. He’s 3 years – 1 month. After playing around in the water for a while, he says “I’m a fish”. Then looks at me and says: “I am a penguin.” I reply: “Hello, penguin”. He: “Nice to meet you”. Then he adds: “I pay” (extends his hand as if giving me money). I extend my hand and say: “Here is your change.” Then he says: “Here’s a gift” (and again extends his hand). So I say, “Oh, what is it?” He answers: “A perfume”. He then gives me several more presents, sometimes saying that the gift is “a perfume”, and at other times saying it’s “a surprise”.

I find this sequence very interesting. Our interaction comprises a continuous series of conventional behaviors that are typically used to start social exchanges and to keep them alive. So we go from “greetings” to “payment,” and then to “gift-giving”. Children, of course, do not understand payments as a way to deliver a certain amount of monetary value in the context of a sale or some other economic contract. Rather, they ​see payment as a ritualized exchange, in that sense similar to gift-giving or greeting rituals (as we know from the research in the area of children’s economic notions, such as Berti and Bombi’s, Delval’s, Jahoda’s and Danziger’s among many others). All the actions performed by Leon are instances of ritual exchanges, realized with a purely associative purpose, that is: he interacts in order to keep me engaged in interaction.

On L. Marshall’s “Sharing, talking and giving”

Just finished reading “Sharing, talking and giving” (Marshall, 1961). Great article. As the author summarizes it: “This paper describes customs, practised by the !Kung Bushmen in the Nyae Nyae region of South Africa, which help them to avoid situations that are likely to arouse ill will and hostility among individuals within the bands and between bands. Two customs which seem to be especially helpful and which I describe in detail are meat-sharing and gift-giving. I mention also the !Kung habits of talking, aspects of their good manners, their borrowing and lending, and their not stealing.”

A couple of details were interesting for me:

Taking possession: When they hunt, “The owner of the animal is the owner of the first arrow to be effectively shot into the animal so that it penetrates enough for its poison to work. That person is responsible for the distribution”. Note: the owner is not the head of the band, or the person who organized the hunt, or the person who shot the arrow. The owner of the animal is the owner of the arrow (who often is not even be part of the hunting expedition). Ownership of the tool (arrow) becomes ownership of the hunted animal.

Associative reciprocity: !Kung Bushmen make presents. And the motives for this “are the same as in gift-giving in general: to measure up to what is expected of them, to make friendly gestures, to win favour, to repay past favours and obligations, and to enmesh others in future obligation. I am sure that when feelings of genuine generosity and real friendliness exist they would also be expressed by giving”. A nice list that sums up what I mean by “associative reciprocity”. As Demi, a !Kung informant, tells the anthropologist: “a !Kung never refuses a gift. And a !Kung does not fail to give in return. Toma said that would be ‘neglecting friendship’.”

Marshall, L. (1961). Sharing, talking, and giving: Relief of social tensions among! Kung Bushmen. Africa, 31(3), 231–249.

Out of reciprocal exchanges, morality emerges

More Rochat:

Children between three and five years develop an understanding that they are potentially liable and that they are building a history of transactions with others. Needless to say, parents and educators foster this development in all cultures, but this fostering is essentially the enforcement of the basic rules of reciprocity, the constitutive elements of human exchanges. Children are channeled to adapt to these rules they depend on to maintain proximity with others. From this, they begin to build a moral space in relation to others, a moral space that is essentially based on the basic rules of reciprocity.

Again: Rochat, P., 2009. Others in Mind: Social Origins of Self-Consciousness. New York: Cambridge University Press, p. 180.