运筹与管理2011，Vol.20Issue(4)：96-99,4.
一种惩罚机制下一次性n人囚徒困境的合作性
Cooperation of a One-off n Person Prisoner's Dilemma Under a Punishment System
摘要
Abstract
In order to solve the problem of how players in an n person prisoner's dilemma avoid the dilemma, the concepts of a player's preferring defection degree(PDD) , and punishment function and its severity are introduced and the following results are proved mathematically: (1) every player' s PDD is less than or equal to 1; (2 ) the greater his/her PDD is, the more he/she prefers defection; (3) a player has the same game result if his/her PDD is equal to 0; and(4) when PDD is a negative number, the greater its absolute value is, the greater enthusiasm of cooperation that the player chooses is. Judgement method of game result of a prisoner's dilemma is obtained: (1) compute every player' s PDD; (2) all the players choose defections if at least one of them does so; and ( 3) they take cooperation if anyone of them likes so. Some examples show that the results can effectively solve the theoretical problems of how the players avoid the dilemma and forecast the situation in a punishment system.关键词
运筹学/惩罚机制/合作性/数学模型法/一次n人囚徒困境Key words
OR/ punishment system/ cooperation/ method of mathematical model/ one-off n person prisoner's dilemma分类
数理科学引用本文复制引用
姜殿玉,郑长波,许作铭..一种惩罚机制下一次性n人囚徒困境的合作性[J].运筹与管理,2011,20(4):96-99,4.基金项目
国家自然科学基金资助项目(70871051) （70871051）
