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The effect of the topology on the spatial ultimatum game

Author

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  • M. N. Kuperman
  • S. Risau-Gusman

Abstract

In this work we present an analysis of a spatially non homogeneous ultimatum game. By considering different underlying topologies as substrates on top of which the game takes place we obtain nontrivial behaviors for the evolution of the strategies of the players. We analyze separately the effect of the size of the neighborhood and the spatial structure. Whereas this last effect is the most significant one, we show that even for disordered networks and provided the neighborhood of each site is small, the results can be significantly different from those obtained in the case of fully connected networks. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2008

Suggested Citation

  • M. N. Kuperman & S. Risau-Gusman, 2008. "The effect of the topology on the spatial ultimatum game," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 62(2), pages 233-238, March.
    • Handle: RePEc:spr:eurphb:v:62:y:2008:i:2:p:233-238
    DOI: 10.1140/epjb/e2008-00133-x
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    Citations

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    Cited by:

    1. Chen, Yunong & Belmonte, Andrew & Griffin, Christopher, 2021. "Imitation of success leads to cost of living mediated fairness in the Ultimatum Game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 583(C).
    2. Deng, Lili & Zhang, Xingxing & Wang, Cheng, 2021. "Coevolution of spatial ultimatum game and link weight promotes fairness," Applied Mathematics and Computation, Elsevier, vol. 392(C).
    3. Zhao, Yakun & Xiong, Tianyu & Zheng, Lei & Li, Yumeng & Chen, Xiaojie, 2020. "The effect of similarity on the evolution of fairness in the ultimatum game," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
    4. Deng, Lili & Tang, Wansheng & Zhang, Jianxiong, 2011. "The coevolutionary ultimatum game on different network topologies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4227-4235.
    5. Yanling Zhang & Jian Liu & Aming Li, 2019. "Effects of Empathy on the Evolutionary Dynamics of Fairness in Group-Structured Systems," Complexity, Hindawi, vol. 2019, pages 1-13, November.
    6. Perc, Matjaž & Grigolini, Paolo, 2013. "Collective behavior and evolutionary games – An introduction," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 1-5.
    7. Bo Xianyu, 2010. "Social Preference, Incomplete Information, and the Evolution of Ultimatum Game in the Small World Networks: An Agent-Based Approach," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 13(2), pages 1-7.
    8. Jaime Iranzo & Luis M Floría & Yamir Moreno & Angel Sánchez, 2012. "Empathy Emerges Spontaneously in the Ultimatum Game: Small Groups and Networks," PLOS ONE, Public Library of Science, vol. 7(9), pages 1-8, September.
    9. Zheng, Lei & Li, Youqi & Zhou, Jingsai & Li, Yumeng, 2022. "The effect of celebrity on the evolution of fairness in the ultimatum game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).

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