We analyze the evolution of behavioral rules for learning how to play a two-armed bandit. Individuals have no information about the underlying pay-off distributions and have limited memory about their own past experience. Instead they must rely on information obtained through observing the...

We consider the situation in which individuals in a finite population must repeatedly choose an action yielding an uncertain payoff. Between choices, each individual may observe the performance of one other individual. We search for rules of behavior with limited memory that increase expected...

This paper develops an approach to equilibrium selection in game theory based on studying the learning process through which equilibrium is achieved. The differential equations derived frommodels of interactive learn-ing typically have stationary states that are not isolated. Instead, Nash...

In the social learning model of Banerjee [1] and Bikhchandani, Hirshleifer and Welch [2] individuals take actions sequentially after observing the history of actions taken by the predecessors and an informative private signal. If the state of the world is changing stochastically over time during...

A model of a population with a Local Interaction structure is presented. Individuals interact with others in a given Interaction neighborhood to obtain their payoff. Individuals either imitate or else they die and are replaced by one of their neighbors in another neighborhood- the Propagation...

In recent years there has been a growing controversy concerning the e¤ective role of distributional policy in economies in which agents hold altruistic preferences. We show that in order to establish cross sectional Distributional Neutrality households re- quire information on consanguinity...

The Paradox of the Absent-Minded Driver is used in the literature to draw attention to the inadequacy of Savage's theory of subjective probability when its underlying epistomological assumptions fail to be satisfied. This note suggests that the paradox is less telling when the uncertainties...

The application of sexual selection theory to human behavior has been the greatest success story in evolutionary psychology, and one of the most fruitful and fascinating developments in the human sciences over the last two decades. Ironically, this development would have seemed absurd only...

In 1987, I wrote a paper (Binmore [14]) that questioned the rationality of the backward induction principle in finite games of perfect information. Since that time, a small literature has grown up in which Antonelli and Bicchieri [1], Ben-Porath [9], Bicchieri [10,11], Bonanno [21,22], Pettit...

We derive continuous approximations of stochastic evolutionary dynamics in games. Depending on how we construct the continuous limit, we obtain a continuous approxi-mation that is either an ordinary differential equation (ODE) or a stochastic differential equation (SDE). Our SDE approximation...