How does resolution of strategy affect network reciprocity in spatial prisoner's dilemma games?

In the canonical framework of evolutionary 22 games, a binary strategy set comprising cooperation (C) and defection (D) has usually been presumed. Inspired by commonly observed real-world facts, we explore what happens if the resolution of strategy increases. As an extreme limit, the infinite resolution case is both a continuous and a mixed strategy defined by a real number in the range of [0,1]. We find that increasing resolution amplifies cooperation in spatial prisoner's dilemma games as compared with the binary strategy definition; however, this enhancement tendency with increasing resolution is not monotonic in the case of a mixed-strategy setting.

[1]  G. Szabó,et al.  Evolutionary games on graphs , 2006, cond-mat/0607344.

[2]  Jun Tanimoto,et al.  Dilemma strength as a framework for advancing evolutionary game theory: Reply to comments on "Universal scaling for the dilemma strength in evolutionary games". , 2015, Physics of life reviews.

[3]  Jun Tanimoto,et al.  Effect of Initial Fraction of Cooperators on Cooperative Behavior in Evolutionary Prisoner's Dilemma Game , 2013, PloS one.

[4]  Aya Hagishima,et al.  Referring to the social performance promotes cooperation in spatial prisoner's dilemma games. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

[5]  Jun Tanimoto,et al.  Impact of deterministic and stochastic updates on network reciprocity in the prisoner's dilemma game. , 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  Jun Tanimoto.  Simultaneously selecting appropriate partners for gaming and strategy adaptation to enhance network reciprocity in the prisoner's dilemma. , 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  Attila Szolnoki,et al.  Evolutionary dynamics of group interactions on structured populations: a review , 2013, Journal of The Royal Society Interface.

[8]  Jun Tanimoto,et al.  Relationship between dilemma occurrence and the existence of a weakly dominant strategy in a two-player symmetric game , 2007, Biosyst..

[9]  Zhen Wang,et al.  Spatial reciprocity for discrete, continuous and mixed strategy setups , 2015, Appl. Math. Comput..

[10]  Jun Tanimoto,et al.  Fundamentals of Evolutionary Game Theory and its Applications , 2015 .

[11]  Attila Szolnoki,et al.  Coevolutionary Games - A Mini Review , 2009, Biosyst..

[12]  Jun Tanimoto,et al.  Correlated asynchronous behavior updating with a mixed strategy system in spatial prisoner's dilemma games enhances cooperation , 2015 .

[13]  Jun Tanimoto.  Mathematical Analysis of Environmental System , 2014 .

[14]  Jun Tanimoto,et al.  How is the equilibrium of continuous strategy game different from that of discrete strategy game? , 2012, Biosyst..

[15]  Jun Tanimoto,et al.  Network reciprocity created in prisoner's dilemma games by coupling two mechanisms. , 2015, Physical review. E, Statistical, nonlinear, and soft matter physics.

[16]  M. Nowak.  Five Rules for the Evolution of Cooperation , 2006, Science.

[17]  S. Kokubo,et al.  Insight into the so-called spatial reciprocity. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.