Abstract
The ubiquity of altruist behavior amongst humans has long been a significant puzzle in the social sciences. Ultimatum game has proved to be a useful tool for explaining altruistic behavior among selfish individuals. In an ultimatum game where alternating roles exist, we suppose that players make their decisions based on the net profit of their own. In this paper, we specify a player’s strategy with two parameters: offer level α ∈ [ 0,1) and net profit acceptance level β ∈ [ − 1,1). By Monte Carlo simulation, we analyze separately the effect of the size of the neighborhood, the small-world property and the heterogeneity of the degree distributions of the networks. Results show that compared with results observed for homogeneous networks, heterogeneous networks lead to more rational outcomes. Moreover, network structure has no effect on the evolution of kindness level, so moderate kindness is adaptable to any social groups and organizations.
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References
W. Güth, R. Schmittberger, B. Schwarze, J. Econ. Behav. Org. 3, 367 (1982)
A.E. Roth, V. Prasnikar, M. Okuno-Fujiwara, S. Zamir, Am. Econ. Rev. 81, 1068 (1991)
G.E. Bolton, P. Zwick, Games Econ. Behav. 10, 95 (1995)
C.C. Eckel, P.J. Grossman, Econ. Inq. 39, 171 (2001)
K.M. Page, M.A. Nowak, Bull. Math. Biol. 64, 1101 (2002)
C.F. Camerer, Behavioral Game Theory: Experiments in Strategic Interaction (Princeton University Press, Princeton, 2003)
J. Henrich et al., Foundations of Human Sociality: Economic Experiments and Ethnographic Evidence from Fifteen Small-Scale Societies (Oxford University Press, Oxford, 2004)
A. Rubinstein, Ecomometrica 50, 97 (1982)
G.E. Bolton, A. Ockenfels, Am. Econ. Rev. 90, 166 (2000)
G. Ichinose, H. Sayama, Sci. Rep. 4, 5104 (2014)
Z. Li, J. Gao, I.H. Suh, L. Wang, Physica A 392, 1885 (2013)
T. Wu, F. Fu, Y.L. Zhang, L. Wang, Sci. Rep. 3, 1550 (2013)
J. Iranzo, J. Román, A. Sánchez, J. Theor. Biol. 278, 1 (2011)
A. Sánchez, J. Cuesta, J. Theor. Biol. 235, 233 (2005)
X. Li, L. Cao, Phys. Rev. E 80, 066101 (2009)
E. Fehr, S. Gähter, Nature 415, 137 (2002)
A. Szolnoki, M. Perc, G. Szabó, Phys. Rev. Lett. 109, 078701 (2012)
K.M. Page, M.A. Nowak, K. Sigmund, Proc. R. Soc. London B 267, 2177 (2000)
R. Sinatra et al., J. Stat. Mech. Theor. Exp. 09, P09012 (2009)
M.N. Kuperman, S. Risau-Gusman, Eur. Phys. J. B 62, 233 (2008)
X.Y. Bo, J.M. Yang, Physica A 389, 1115 (2010)
L.L. Deng, C. Wang, W.S. Tang, G.G. Zhou, J.H. Cai, J. Stat. Mech. Theor. Exp. 12, P11013 (2012)
J. Gao, Z. Li, T. Wu, L. Wang, Europhys. Lett. 93, 48002 (2011)
L.L. Deng, W.S. Tang, J.X. Zhang, Physica A 390, 4227 (2011)
L.L. Deng, W.S. Tang, J.X. Zhang, Chin. Phys. Lett. 28, 080204 (2011)
K. Miyaji, Z. Wang, J. Tanimoto, A. Hagishima, S. Kokubo, Chaos Solitons Fractals 56, 13 (2013)
Z.H. Yang, Z. Li, T. Wu, L. Wang, Europhys. Lett. 109, 40013 (2015)
L. Wang et al., Physica A 430, 32 (2015)
A. Szolnoki, M. Perc, G. Szabó, Europhys. Lett. 100, 28005 (2012)
G. Szabó, C. Töke, Phys. Rev. E 58, 69 (1998)
A. Traulsen, M.A. Nowak, J.M. Pacheco, Phys. Rev. E 74, 011909 (2006)
C.P. Roca, J.A. Cuesta, A. Sanchez, Phys. Life Rev. 6, 208 (2009).
M.E.J. Newman, SIAM Rev. 45, 167 (2003)
D.J. Watts, S.H. Strogatz, Nature 393, 440 (1998)
S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, D.U. Huang, Phys. Rep. 424, 175 (2006)
G. Szabó, A. Szolnoki, R. Izsak, J. Phys. Math. Gen. 37, 2599 (2004)
J. Gómez-Gardeñes, Y. Moreno, Phys. Rev. E 73, 056124 (2006)
K.M. Page, M.A. Nowak, J. Theor. Biol. 209, 173 (2000)
B. Wu et al., PLoS One 5, e11187 (2010)
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Ye, SQ., Wang, L., Jones, M. et al. Effect of network topology on the evolutionary ultimatum game based on the net-profit decision. Eur. Phys. J. B 89, 93 (2016). https://doi.org/10.1140/epjb/e2016-70043-5
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DOI: https://doi.org/10.1140/epjb/e2016-70043-5