Tolerance-Based Group Scoring Scheme Promotes Cooperation in Public Goods Game

The evolution of cooperation in social dilemmas has always been a subject of considerable concern in various fields, such as economics, sociobiology and social science. Previous studies have shown that reputation can sustain cooperation in multi-player public goods games through indirect reciprocity. Unfortunately, most studies only consider the impact of personal performance, and while the effect of group performance is still unclear. Here, we propose a reputation mechanism that combines the groups' performance and players' performance. Simulations show that the situation only consider group scoring can not sustain cooperation, but when the players' difference is considered, the population will achieve a high level of cooperation.

[1]  Michael A Fishman,et al.  Indirect reciprocity among imperfect individuals. , 2003, Journal of theoretical biology.

[2]  Martin A. Nowak,et al.  Stochastic evolutionary dynamics of direct reciprocity , 2010, Proceedings of the Royal Society B: Biological Sciences.

[3]  Akira Yokoyama,et al.  The Effect of Ostracism and Optional Participation on the Evolution of Cooperation in the Voluntary Public Goods Game , 2014, PloS one.

[4]  M. Nowak,et al.  A strategy of win-stay, lose-shift that outperforms tit-for-tat in the Prisoner's Dilemma game , 1993, Nature.

[5]  R. May More evolution of cooperation , 1987, Nature.

[6]  David G. Rand,et al.  Direct reciprocity in structured populations , 2012, Proceedings of the National Academy of Sciences.

[7]  W. Hamilton,et al.  The Evolution of Cooperation , 1984 .

[8]  Karl Sigmund,et al.  Indirect reciprocity, image scoring, and moral hazard. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[9]  R. Trivers The Evolution of Reciprocal Altruism , 1971, The Quarterly Review of Biology.

[10]  C. Hauert,et al.  Punishment and reputation in spatial public goods games , 2003, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[11]  M. Nowak,et al.  Evolution of indirect reciprocity , 2005, Nature.

[12]  Long Wang,et al.  Reputation-based mutual selection rule promotes cooperation in spatial threshold public goods games , 2013 .

[13]  Richard D. Alexander,et al.  Darwinism and human affairs , 1979 .

[14]  György Szabó,et al.  Phase transitions and volunteering in spatial public goods games. , 2002, Physical review letters.

[15]  F. C. Santos,et al.  Social diversity promotes the emergence of cooperation in public goods games , 2008, Nature.

[16]  R. Wilson,et al.  Magnetic resonance quantification of the myocardial perfusion reserve with a Fermi function model for constrained deconvolution. , 1998, Medical physics.

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

[18]  C. Hauert,et al.  Reputation-based partner choice promotes cooperation in social networks. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[19]  Yamir Moreno,et al.  Reputation drives cooperative behaviour and network formation in human groups , 2015, Scientific Reports.

[20]  M. Nowak,et al.  Evolution of indirect reciprocity by image scoring , 1998, Nature.

[21]  M. Nowak,et al.  Tit for tat in heterogeneous populations , 1992, Nature.

[22]  Eizo Akiyama,et al.  Reputation and the evolution of cooperation in sizable groups , 2005, Proceedings of the Royal Society B: Biological Sciences.

[23]  J. Friedman A Non-cooperative Equilibrium for Supergames , 1971 .

[24]  David G. Rand,et al.  Direct reciprocity with costly punishment: generous tit-for-tat prevails. , 2009, Journal of theoretical biology.

[25]  Attila Szolnoki,et al.  Stability of cooperation under image scoring in group interactions , 2015, Scientific Reports.

[26]  A. Roth,et al.  Learning in Extensive-Form Games: Experimental Data and Simple Dynamic Models in the Intermediate Term* , 1995 .

[27]  Martin A. Nowak,et al.  Indirect Reciprocity with Optional Interactions and Private Information , 2015, Games.