Payoff-based accumulative effect promotes cooperation in spatial prisoner’s dilemma

We study the effect of accumulative payoff on the evolution of cooperation in the evolutionary prisoner＇s dilemma on a square lattice. We introduce a decaying factor for the accumulative payoff, which characterizes the extent that the historical payoff is accumulated. It is shown that for fixed values of the temptation to defect, the density of cooperators increases with the value of the decaying factor. This indicates that the more the historical payoff is involved, the more favourable cooperators become. In the critical region where the cooperator density converges to zero, cooperators vanish according to a power-law-like behaviour. The associated exponents agree approximately with the two-dimensional directed percolation and depend weakly on the value of the decaying factor.

从博弈论看近代中国民营书局的教科书之争

由于教科书具有销量大、利润高等优势,因此,近代出版机构都把教科书出版作为发行销售的重要利润来源。各方为了取得利益的最大化,竞争手段无所不用其极,激烈而无序的博弈趋于白热化。本文以"智猪博弈"、"囚徒困境"等博弈论模型分析了近代中国民营书局的教科书之争,以期为当代出版提供一定的参考。

央行政策与公众对策互动关系的利益机制分析

本文认为央行可采用的软硬兼施策略为:若公众配合央行政策,央行实施温和政策;若公众不配合央行政策,央行实施严厉政策。这一策略反映了央行政策对公众对策的反应规则,弥补了传统政策规则的不足。本文把这一策略理论化和模型化,提出了第二种时间不一致性和央行的第二种声誉,进而构造了不对称收益囚徒困境博弈模型,分析了央行政策与公众对策互动关系的利益机制。本文证明了若采用这一策略,在不完全信息条件下,在有限期重复博弈时,该模型可以产生合作行为。由此,我们得出一种能促使公众配合央行政策的新理论。