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A network growth model based on the evolutionary ultimatum game. (English) Zbl 07230758
MSC:
82 Statistical mechanics, structure of matter
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[1] Castellano C, Fortunato S and Loreto V 2009 Statistical physics of social dynamics Rev. Mod. Phys.81 591
[2] Loreto V, Baronchelli A, Mukherjee A, Puglisi A and Tria F 2011 Statistical physics of language dynamics J. Stat. Mech. P04006
[3] Newman M E J 2003 The structure and function of complex networks SIAM Rev.45 167
[4] Watts D J and Strogatz S H 1998 Collective dynamics of ‘small-world’ networks Nature393 440
[5] Barabási A L and Albert R 1999 Emergence of scaling in random networks Science286 509
[6] Price D D S 1976 A general theory of bibliometric and other cumulative advantage processes J. Am. Soc. Inform. Sci.27 292
[7] Schweitzer F, Fagiolo G, Sornette D, Vega-Redondo F, Vespignani A and White D R 2009 Economic networks: the new challenges Science325 422
[8] Ebel H and Bornholdt S 2002 Coevolutionary games on networks Phys. Rev. E 66 056118
[9] Gross T and Blasius B 2008 Adaptive coevolutionary networks: a review J. R. Soc. Interface5 259
[10] Perc M and Szolnoki A 2010 Coevolutionary games: a mini review BioSystems99 109
[11] Vilone D, Sánchez A and Gómez-Gardeñes J 2011 Random topologies and the emergence of cooperation: the role of short-cuts J. Stat. Mech. P04019
[12] Zimmermann M G, Eguíluz V M and Miguel M S 2004 Coevolution of dynamical states and interactions in dynamic networks Phys. Rev. E 69 065102
[13] Zimmermann M G and Eguíluz V M 2005 Cooperation, social networks, and the emergence of leadership in a prisoners dilemma with adaptive local interactions Phys. Rev. E 72 056118
[14] Eguíluz V M, Zimmermann M G, Cela-Conde C J and Miguel M S 2005 Cooperation and the emergence of role differentiation in the dynamics of social networks Am. J. Sociol.110 977
[15] Deng L L, Tang W S and Zhang J X 2011 Coevolution of structure and strategy promoting fairness in the ultimatum game Chin. Phys. Lett.28 070204
[16] Deng L L, Tang W S and Zhang J X 2011 The coevolutionary ultimatum game on different network topologies Physica A 390 4227
[17] Lugo H and Jiménez R 2006 Incentives to cooperate in network formation Comp. Econ.28 15
[18] Pacheco J M, Traulsen A and Nowak M A 2006 Coevolution of strategy and structure in complex networks with dynamical linking Phys. Rev. Lett.97 258103
[19] Poncela J, Gómez-Gardeñes J, Floría L M, Sánchez A and Moreno Y 2008 Complex cooperative networks from evolutionary preferential attachment PLoS ONE3 e2449
[20] Poncela J, Gómez-Gardeñes J, Traulsen A and Moreno Y 2009 Evolutionary game dynamics in a growing structured population New J. Phys.11 083031
[21] Ren J, Wu X, Wang W X, Cheng G and Wang B H 2006 Interplay between evolutionary game and network structure arXiv:physics/0605250
[22] Starnini M, Sanchez A, Poncela J and Moreno Y 2011 Coordination and growth: the stag hunt game on evolutionary networks J. Stat. Mech. P05008
[23] Page K M and Nowak M A 2001 A generalized adaptive dynamics framework can describe the evolutionary ultimatum game J. Theor. Biol.209 173
[24] Iranzo J, Floría L M, Moreno Y and Sánchez A 2012 Empathy emerges spontaneously in the ultimatum game: small groups and networks PLoS ONE7 e43781
[25] Page K M and Nowak M A 2002 Empathy leads to fairness Bull. Math. Biol.64 1101
[26] Duan W Q and Stanley H E 2010 Fairness emergence from zero-intelligence agents Phys. Rev. E 81 026104
[27] Page K M, Nowak M A and Sigmund K 2000 The spatial ultimatum game Proc. R. Soc. B 267 2177
[28] Sinatra R, Iranzo J, Gómez-Gardeñes J, Floría L M, Latora V and Moreno Y 2009 The ultimatum game in complex networks J. Stat. Mech. P09012
[29] Iranzo J, Román J and Sánchez A 2011 The spatial ultimatum game revisited J. Theor. Biol.278 1
[30] Kuperman M N and Risau-Gusman S 2008 The effect of the topology on the spatial ultimatum game Eur. Phys. J. B 62 233
[31] Deng L L, Zhang J X, Tang W S and Zhang W 2012 Effects of some topological ingredients on the evolutionary ultimatum game Commun. Theor. Phys.58 349
[32] Fehr E and Fischbacher U 2003 The nature of human altruism Nature425 785
[33] Dragulescu A and Yakovenko V M 2001 Exponential and power-law probability distributions of wealth and income in the United Kingdom and the United States Physica A 299 213
[34] Latora V and Marchiori M 2001 Efficient behavior of small-world networks Phys. Rev. Lett.87 198701
[35] Barabási A L, Albert R and Jeong H 1999 Mean-field theory for scale-free random networks Physica A 272 173
[36] Zhou S and Mondragon R J 2004 The rich-club phenomenon in the internet topology IEEE Commun. Lett.8 180
[37] Colizza V, Flammini A, Serrano M A and Vespignani A 2006 Detecting rich-club ordering in complex networks Nature Phys.2 110
[38] Erdös P and Rényi A 1960 On the evolution of random graphs Publ. Math. Inst. Hung. Acad. Sci.5 17
[39] Callaway D S, Hopcroft J E, Kleinberg J M, Newman M E J and Strogatz S H 2001 Are randomly grown graphs really random? Phys. Rev. E 64 041902
[40] Newman M E J 2002 Assortative mixing in networks Phys. Rev. Lett.89 208701
[41] Newman M E J 2003 Mixing patterns in networks Phys. Rev. E 67 026126
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