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Does a resource-storing mechanism favor “the wealthy do not fight”?—An approach from evolutionary game theory

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  • Utsumi, Shinobu
  • Tatsukawa, Yuichi
  • Tanimoto, Jun

Abstract

Motivated by an interdisciplinary question of whether a resource-storing mechanism favors “the wealthy do fight” or “the wealthy do not fight,” we establish a new model based on spatial prisoner's dilemma (SPD) game where a time-accumulating payoff is allowed, and the probability of game participation depending on wealthiness is introduced. Although the model is based on a universal framework, presuming SPDs as a template, the conclusion drawn from the model is interdisciplinary rich. Our simulation results reveal that the common sense (or say, human's philosophical wisdom) of “the wealthy do not fight” helps to emerge a fairly cooperative society depending on the dilemma strength. By contrast, remarkably, it suggests that the common sense of “the wealthy do fight” begets a skewed exploitation society where defectors who exploit poor cooperators prosper.

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  • Utsumi, Shinobu & Tatsukawa, Yuichi & Tanimoto, Jun, 2022. "Does a resource-storing mechanism favor “the wealthy do not fight”?—An approach from evolutionary game theory," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    • Handle: RePEc:eee:chsofr:v:160:y:2022:i:c:s0960077922004179
    DOI: 10.1016/j.chaos.2022.112207
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    References listed on IDEAS

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    1. Geng, Yini & Shen, Chen & Guo, Hao & Chu, Chen & Yu, Dalei & Shi, Lei, 2017. "Historical payoff promotes cooperation in voluntary prisoner's dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 105(C), pages 145-149.
    2. Alam, Muntasir & Nagashima, Keisuke & Tanimoto, Jun, 2018. "Various error settings bring different noise-driven effects on network reciprocity in spatial prisoner's dilemma," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 338-346.
    3. K. M. Ariful Kabir & Jun Tanimoto & Zhen Wang, 2018. "Influence of bolstering network reciprocity in the evolutionary spatial Prisoner’s Dilemma game: a perspective," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 91(12), pages 1-10, December.
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    5. Hisashi Ohtsuki & Christoph Hauert & Erez Lieberman & Martin A. Nowak, 2006. "A simple rule for the evolution of cooperation on graphs and social networks," Nature, Nature, vol. 441(7092), pages 502-505, May.
    6. Wang, Jianwei & Chen, Wei & Yu, Fengyuan & He, Jialu & Xu, Wenshu, 2022. "Wealth-based rule favors cooperation in costly public goods games when individual selection is inevitable," Applied Mathematics and Computation, Elsevier, vol. 414(C).
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    1. Kabir, K.M. Ariful & Shahidul Islam, MD & Utsumi, Shinobu & Tanimoto, Jun, 2023. "The emergence of rich complex dynamics in a spatial dyadic game with resource storage, participation cost, and agent interaction propensity," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).

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