We report an experiment exploring sequential context effects on strategy choices in one-shot Prisoner’s Dilemma (PD) game. Rapoport and Chammah (1965) have shown that some PDs are cooperative and lead to high cooperation rate, whereas others are uncooperative. Participants played very cooperative and very uncooperative games, against anonymous partners. The order in which these games were playe...

The stability of some spatial asymmetric games is discussed. Both linear and nonlinear asymptotic stability of asymmetric hawk-dove and prisoner’s dilemma are studied. Telegraph reaction diffusion equations for the asymmetric spatial games are presented. Asymmetric game of parental investment is studied in the presence of both ordinary and cross diffusions.

We study a variant of the repeated prisoner’s dilemma with uncertain horizon, in which each player chooses his foresight ability; that is, the timing in which he is informed about the realized length of the interaction. In addition, each player has an independent probability to observe the opponent’s foresight ability. We show that if this probability is not too close to 0 or 1, then the game a...

A Recent [14] model demonstrated that image scoring produces high cooperation between strangers in the Prisoner’s Dilemma (PD). Here we outline a simpler approach in which players – which are either pure cooperators or defectors – can sustain cooperation with strangers by biasing game interactions towards others with the same tags (arbitrary bit strings representing “cultural markers” [11]). In...

This paper studies the repeated prisoners’ dilemma with private monitoring for arbitrary number of players. It is shown that a mixture of a grim trigger strategy and permanent defection can achieve an almost e¢cient outcome for some range of discount factors if private monitoring is almost perfect and symmetric, and if the number of players is large. This approximate e¢cieicny result also holds...

(1) Background: Why and when images of watching eyes encourage prosocial behavior is still subject to discussion, and two recent meta-analyses show no effect of watching eyes on generosity. This study aims to discern the effect of watching eyes of different valence on two separate aspects of prosocial behavior, and additionally investigates whether individuals’ social value orientation moderate...

The paper aims to extend the findings of a previous study (Grinberg et al., 2012) exploring the impact of social relations on the cooperation in the Prisoner’s dilemma game. Relations between players are manipulated by assigning different roles. The roles embodied the four basic types of human relations in line with Fiske’s relational models theory (Fiske, 1991): communal sharing, authority ran...

We prove the folk theorem for the Prisoner’s dilemma using strategies that are robust to private monitoring. From this follows a limit folk theorem: when players are patient and monitoring is sufficiently accurate, (but private and possibly independent) any feasible individually rational payoff can be obtained in sequential equilibrium. The strategies used can be implemented by finite (randomiz...

The well-known Three Prisoners Paradox has been solved by Bayesian conditioning over the choice made by the Warder when asked to name a(nother) prisoner who will be shot. This paper generalizes the paradox to situations of N prisoners, k executions and m announcements made by the Warder. We also extend the consequences of hierarchically placing uniform and symmetrical priors (for example in the...

We study a spatial Prisoner’s dilemma game with two types (A and B) of players located on a square lattice. Players following either cooperator or defector strategies play Prisoner’s Dilemma games with their 24 nearest neighbors. The players are allowed to adopt one of their neighbor’s strategy with a probability dependent on the payoff difference and type of the given neighbor. Players A and B...