Next Article in Journal
The Loser’s Bliss in Auctions with Price Externality
Next Article in Special Issue
Fairness and Trust in Structured Populations
Previous Article in Journal
A Tale of Two Bargaining Solutions
Previous Article in Special Issue
Should Law Keep Pace with Society? Relative Update Rates Determine the Co-Evolution of Institutional Punishment and Citizen Contributions to Public Goods
Open AccessArticle

What You Gotta Know to Play Good in the Iterated Prisoner’s Dilemma

Mathematics Department, The City College, 137 Street and Convent Avenue, New York City, NY 10031, USA
Academic Editors: Martin A. Nowak and Christian Hilbe
Games 2015, 6(3), 175-190; https://doi.org/10.3390/g6030175
Received: 4 April 2015 / Revised: 1 June 2015 / Accepted: 8 June 2015 / Published: 25 June 2015
(This article belongs to the Special Issue Cooperation, Trust, and Reciprocity)
For the iterated Prisoner’s Dilemma there exist good strategies which solve the problem when we restrict attention to the long term average payoff. When used by both players, these assure the cooperative payoff for each of them. Neither player can benefit by moving unilaterally to any other strategy, i.e., these provide Nash equilibria. In addition, if a player uses instead an alternative which decreases the opponent’s payoff below the cooperative level, then his own payoff is decreased as well. Thus, if we limit attention to the long term payoff, these strategies effectively stabilize cooperative behavior. The existence of such strategies follows from the so-called Folk Theorem for supergames, and the proof constructs an explicit memory-one example, which has been labeled Grim. Here we describe all the memory-one good strategies for the non-symmetric version of the Prisoner’s Dilemma. This is the natural object of study when the payoffs are in units of the separate players’ utilities. We discuss the special advantages and problems associated with some specific good strategies. View Full-Text
Keywords: Prisoner’s Dilemma; stable cooperative behavior; iterated play; Markov strategies; good strategies, individual utility Prisoner’s Dilemma; stable cooperative behavior; iterated play; Markov strategies; good strategies, individual utility
MDPI and ACS Style

Akin, E. What You Gotta Know to Play Good in the Iterated Prisoner’s Dilemma. Games 2015, 6, 175-190.

Show more citation formats Show less citations formats

Article Access Map by Country/Region

1
Only visits after 24 November 2015 are recorded.
Back to TopTop