A New Type of Evolutionary Strategy Based on a Multi-player Iterated Prisoner’s Dilemma Game

Nenggang Xie, Ye Ye, Wei Bao, M. Wang
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Abstract

Abstract According to the philosophy of self-cultivation that “one should refine his personal virtue when in poverty, and help save the world when in success”, a new type of evolutionary strategy, Poor-Competition-Rich-Cooperation (PCRC), is proposed. To discuss its superiority and inferiority, based on a multi-player iterated Prisoner’s Dilemma game, PCRC and other six kinds of strategies are played by using the roulette method in three different populations (a uniformly distributed population, a cooperation-preference population, a defection-preference population). The payoff characteristics for each strategy under different temptation coefficients and noise values are also analyzed. Simulation results indicate that PCRC has a sufficient robustness and its payoff presents a basically monotonic increasing tendency with the increment of noise. The superiority of PCRC becomes more obvious when the temptation coefficient becomes larger. Furthermore, a higher population preference for defection yields a more obvious advantage for PCRC.
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基于多人迭代囚徒困境博弈的一种新型进化策略
摘要根据“穷时修德,成时救世”的修身哲学,提出了一种新型的进化策略——贫-竞争-富-合作(PCRC)。为了讨论PCRC策略的优劣性,基于一个多人迭代囚徒困境博弈,采用轮盘赌的方法,在三种不同的群体(均匀分布群体、合作偏好群体和背叛偏好群体)中进行了PCRC策略和其他六种策略的博弈。分析了不同诱惑系数和噪声值下各策略的收益特征。仿真结果表明,PCRC具有足够的鲁棒性,其收益随噪声的增加基本呈单调递增趋势。诱惑系数越大,PCRC的优势越明显。此外,更高的群体偏好对PCRC产生更明显的优势。
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