Consider a population of farmers who live around a lake. Each farmer engages in trade with his two adjacent neighbors. The trade is governed by a prisoner's dilemma 'rule of engagement'. A farmer's payoff is the sum of the payoffs from the two prisoner's dilemma games played with his two...

In a haystack-type representation of a heterogeneous population that is evolving according to a payoff structure of a prisoner's dilemma game, migration is modeled as a process of swapping" individuals between heterogeneous groups of constant size after a random allocation fills the haystacks,...

We calculate the equilibrium fraction of cooperators in a population in which payoffs accrue from playing a single-shot prisoner's dilemma game. Individuals who are hardwired as cooperators or defectors are randomly matched into pairs, and cooperators are able to perfectly find out the type of a...

We offer a game-theoretic proof of Hamilton's rule for the spread of altruism. For a simple case of siblings, we show that the rule can be derived as the outcome of a one-shot prisoner's dilemma game between siblings.

We calculate the equilibrium fraction of cooperators in a population in which payoffs accrue from playing a single-shot prisoner's dilemma game. Individuals who are hardwired as cooperators or defectors are randomly matched into pairs, and cooperators are able to perfectly find out the type of a...

This paper asks whether population growth is conducive to the sustainability of cooperation. A simple model is developed in which farmers who live around a circular lake engage in trade with their adjacent neighbors. The payoffs from this activity are governed by a prisoner's dilemma rule of...

Consider a population of farmers who live around a lake. Each farmer engages in trade with his m adjacent neighbors, where m is termed the span of interaction. Trade is governed by a prisoner's dilemma rule of engagement. A farmer's payoff is the sum of the payoffs from the m prisoner's dilemma...

In a haystack-type representation of a heterogeneous population that is evolving according to a payoff structure of a prisoner's dilemma game, migration is modeled as a process of 'swapping' individuals between heterogeneous groups of constant size after a random allocation fills the haystacks,...

Although the phenomenon of refugee flows is not devoid of economic connotations, it has so far been investigated primarily by political scientists and sociologists. The analytical tools of economic inquiry have not yet been applied to this subject, although it stands to reason that such a study...

It is argued that parents provide help with housing downpayments in order to encourage the production of grandchildren, and that such a subsidization emanates from the ?demonstration effect:? a child?s propensity to furnish parents with attention and care can be conditioned by parental example....