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. -- evolution of altruism ; Hamilton's rule ; one-shot prisoner's dilemma game

We demonstrate how altruism can surge in a population of nonaltruists. We assume that each individual plays a one-shot prisoner's dilemma game with his or her sibling, or with a stranger, and that the probability that an individual survives to reproduce is proportional to his or her payoff in...

We explore the evolutionary dynamics of a population that consists of cooperators and defectors, wherein each member of the many pairs of players of a one-shot prisoner's dilemma game is drawn at random, and the number of descendents positively depends on the payoffs in the game. We demonstrate...

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,...

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 swappingʺ individuals between heterogeneous groups of constant size after a random allocation fills the haystacks,...

Standard cost-benefit analysis (CBA) is insensitive to distributional concerns. A policy that improves the lives of the rich, and makes the poor yet worse off, will be approved by CBA as long as the policy’s aggregate monetized benefits are positive. Distributional weights offer an apparent...