Cooperation in the Prisoner's Dilemma with Anonymous Random Matching

@article{Ellison1994CooperationIT,
  title={Cooperation in the Prisoner's Dilemma with Anonymous Random Matching},
  author={Glenn Ellison},
  journal={The Review of Economic Studies},
  year={1994},
  volume={61},
  pages={567-588}
}
  • Glenn Ellison
  • Published 1994
  • Economics
  • The Review of Economic Studies
The paper considers the repeated prisoner's dilemma in a large-population random-matching setting where players are unable to recognize their opponents. Despite the informational restrictions cooperation is still a sequential equilibrium supported by "contagious" punishments. The equilibrium does not require excessive patience, and contrary to previous thought, need not be extraordinarily fragile. It is robust to the introduction of small amounts of noise and remains nearly efficient… Expand

Tables from this paper

The Repeated Prisoners' Dilemma with Private Monitoring: a N-player case ¤
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 achieveExpand
Cooperation in the Prisoner’s Dilemma with Short-Run Players
This paper studies cooperative behavior in communities with a subset of short-run players. This is done in the context of a repeated Prisoner’s Dilemma game. The introduction of a short-run player inExpand
Evolution and Information in a Prisoner's Dilemma Game
In an environment of anonymous random matching, Kandori [1992] showed that with a sufficiently rich class of simple information systems the folk theorem holds. We specialize to the Prisoner's DilemmaExpand
Efficiency in Repeated Prisoner's Dilemma with Private Monitoring
Abstract This paper analyzes repeated games with private monitoring, where in each period each player receives a signal of the other player's action in the previous period, and that signal is privateExpand
On Optimal Social Convention in Voluntary Continuation Prisoner's Dilemma Games
When the repeated prisoner’s dilemma setup is generalized to allow for a unilateral breakup, maximal efficiency in equilibrium remains an open question. With restrictions of simple symmetry withExpand
Voluntarily Separable Repeated Prisoner's Dilemma
Ordinary repeated games do not apply to real societies where one can cheat and escape from partners. We formulate a model of endogenous relationships that a player can unilaterally end and start withExpand
Community Enforcement Beyond the Prisoner's Dilemma
repeated anonymous random matching setting. It is well known that, if the stage-game is the prisoner's dilemma, cooperation can be supported in equilibrium through grim trigger, also calledExpand
Optimal partnership in a repeated prisoner's dilemma
This paper studies informational partnerships in a repeated prisoner’s dilemma with random matching. Assuming that players observe the play within but not across partnerships, we find the surprisingExpand
On Stochastic Acceptance and Gradual Cooperation in Voluntarily Repeated Prisoners ’ Dilemma with No Information Flow
There has been an accumulation of research on voluntarily repeated prisoners’ dilemma with no information flow. This paper provides a unified comparison of various systems to enforce cooperation, asExpand
Limits on Cooperation with Anonymity and Noise
We show that social equilibria in the prisoner’s dilemma, with anonymous random matching, are not robust to finite probability trembles with large populations. In particular, for reasonable parameterExpand
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 16 REFERENCES
Cooperation in a one-shot Prisoners' Dilemma
In this paper, we model social interactions which are characteristic of large economies. The key properties of this model are: (1) agents are randomly matched over time to engage in a Prisoners'Expand
The Folk Theorem with Imperfect Public Information
The authors study repeated games in which players observe a public outcome that imperfectly signals the actions played. They provide conditions guaranteeing that any feasible, individually rationalExpand
Anonymous repeated games with a large number of players and random outcomes
Abstract Green ( J. Econ. Theory 22 (1980), 155–182) demonstrates that in anonymous repeated games with random outcomes, any play which can be sustained as an equilibrium by a trigger strategy isExpand
Social Norms and Community Enforcement
The present paper extends the theory of self-enforcing agreements in a long-term relationship (the Folk Theorem in repeated games) to the situation where agents change their partners over time.Expand
Social Norms and Random Matching Games
Abstract Nash equilibrium has been tremendously useful in understanding economic problems in which strategic behavior is important. The theoretical foundations of the solution concept often includeExpand
The Folk Theorem in Repeated Games with Discounting or with Incomplete Information
TLDR
Any individually rational payoff of a one-shot game can be approximated by sequential equilibrium payoffs of a long but finite game of incomplete information, where players' payoffs are almost certainly as in the one- shot game. Expand
On the dispensability of public randomization in discounted repeated games
Abstract We show that any feasible, individually rational payoffs of an infinitely repeated game can arise as subgame perfect equilibrium payoffs if the discount factor is close enough to one even ifExpand
Learning, Local Interaction, and Coordination
This paper discusses the dynamic implications of learning in a large population coordination game, focusing on the structure of the matching process that describes how players meet. As in M. Kandori,Expand
Sequences of Games with Varying Opponents
This paper considers a problem faced by players who are involved in a sequence of games: not necessarily the same games, not necessarily with the same opponents, and not necessarily under conditionsExpand
A Non-cooperative Equilibrium for Supergames
Presents a non-cooperative equilibrium concept, applicable to supergames, which fits John Nash's non-cooperative equilibrium and also has some features resembling the Nash cooperative solution.Expand
...
1
2
...