The Uniform N-Person Prisoner's Dilemma Game

Dwight J. Goehring · James P. Kahan

49 citations0/0 files storedJournal of Conflict Resolution

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Experimental Behavioral Economics Studies Game Theory and Applications Evolutionary Game Theory and Cooperation

Abstract

The familiar two-person prisoner's dilemma (PD) game can be considered a special case of a general family of games with more than two players. This family of games is of particular interest, having been suggested as a model for a variety of social conflict situations. A subset of this family of games, called the uniform PD, is defined, for which the members of the subset may be scaled along a dimension of competitiveness for any given number of players. An index of competitiveness was derived and tested for the three-person case. Sixty volunteer subjects played one of five three-person uniform PD games, chosen to vary across the range of values of the index. Each triad played 150 trials of the same game for points which were converted to cash at the end of the experiment. Subjects were run in triads homogeneous with respect to sex; effects due to that variable were absent. The obtained proportions of cooperative response were found to be strongly related to the value of the index. The approach offers a theoretical basis for assessment of behavior in multiperson conflict situations of the PD variety.

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2019Theory of games and economic behavior 1945Theory of Games and Economic Behavior 2015Games and Decisions 1946Theory of Games and Economic Behavior 1965Prisoner's Dilemma 1975Human judgment and decision processes 1974Game Theory as a Theory of a Conflict Resolution 1967Reward structure and cooperation: The decomposed Prisoner's Dilemma game.

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