THE EXPECTED NUMBER OF COOPERATORS IN THE N‐PERSON PRISONERS’ DILEMMA WITH RANDOM ORDER MOVES*

Ko Nishihara

The Japanese Economic Review, 2008, vol. 59, issue 2, 241-257

Abstract: The present paper examines the possibility of cooperation occurring in the N‐person prisoners’ dilemma, played with randomly ordered moves and imperfect information. To take into account imperfect cooperation, the degree of cooperation is evaluated in terms of the expected number of cooperators. It is shown that: (i) the expected number of cooperators is maximized at an equilibrium, a combination of strategies each of which is a type of trigger strategy; (ii) the maximum expected number of cooperators is attained in a state of imperfect cooperation for a range of payoff functions; and (iii) the maximum expected number of cooperators is non‐decreasing when the size of players’ group increases.

Date: 2008
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https://doi.org/10.1111/j.1468-5876.2007.00409.x

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Persistent link: https://EconPapers.repec.org/RePEc:bla:jecrev:v:59:y:2008:i:2:p:241-257

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