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The whale optimization algorithm and the evolution of cooperation in the spatial public goods game

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  • Bahbouhi, Jalal Eddine
  • Elkouay, Abdelali
  • Bouderba, Saif Islam
  • Moussa, Najem

Abstract

The challenge of fostering cooperation in public goods games remains a prominent issue in various fields, ranging from economics to evolutionary biology. In this study, we propose a novel approach to address this challenge by integrating the whale optimization algorithm (WOA), a nature-inspired meta-heuristic, as a strategy update rule in the evolutionary public goods game (PGG). Through comprehensive simulation and analysis, our findings elucidate the efficacy of WOA in augmenting cooperation levels within PGG scenarios. Specifically, our results demonstrate a notable enhancement in the cooperative behaviors and contribution levels of players when WOA is employed. This research sheds light on the potential of leveraging bio-inspired algorithms to tackle complex social dilemmas and offers valuable insights for the design and optimization of cooperative strategies in diverse settings.

Suggested Citation

  • Bahbouhi, Jalal Eddine & Elkouay, Abdelali & Bouderba, Saif Islam & Moussa, Najem, 2024. "The whale optimization algorithm and the evolution of cooperation in the spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    • Handle: RePEc:eee:chsofr:v:182:y:2024:i:c:s0960077924004259
    DOI: 10.1016/j.chaos.2024.114873
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    References listed on IDEAS

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    1. Fischbacher, Urs & Gachter, Simon & Fehr, Ernst, 2001. "Are people conditionally cooperative? Evidence from a public goods experiment," Economics Letters, Elsevier, vol. 71(3), pages 397-404, June.
    2. Francisco C. Santos & Marta D. Santos & Jorge M. Pacheco, 2008. "Social diversity promotes the emergence of cooperation in public goods games," Nature, Nature, vol. 454(7201), pages 213-216, July.
    3. Jianlei Zhang & Chunyan Zhang & Tianguang Chu & Matjaž Perc, 2011. "Resolution of the Stochastic Strategy Spatial Prisoner's Dilemma by Means of Particle Swarm Optimization," PLOS ONE, Public Library of Science, vol. 6(7), pages 1-7, July.
    4. Christoph Hauert & Michael Doebeli, 2004. "Spatial structure often inhibits the evolution of cooperation in the snowdrift game," Nature, Nature, vol. 428(6983), pages 643-646, April.
    5. Bahbouhi, Jalal Eddine & Moussa, Najem, 2019. "A graph-based model for public goods with leaderships," Applied Mathematics and Computation, Elsevier, vol. 349(C), pages 53-61.
    6. Ernst Fehr & Simon Gächter, 2002. "Altruistic punishment in humans," Nature, Nature, vol. 415(6868), pages 137-140, January.
    7. Hisashi Ohtsuki & Yoh Iwasa & Martin A. Nowak, 2009. "Indirect reciprocity provides only a narrow margin of efficiency for costly punishment," Nature, Nature, vol. 457(7225), pages 79-82, January.
    8. Lv, Shaojie & Song, Feifei, 2022. "Particle swarm intelligence and the evolution of cooperation in the spatial public goods game with punishment," Applied Mathematics and Computation, Elsevier, vol. 412(C).
    9. Henrich, Joseph & Boyd, Robert & Bowles, Samuel & Camerer, Colin & Fehr, Ernst & Gintis, Herbert (ed.), 2004. "Foundations of Human Sociality: Economic Experiments and Ethnographic Evidence from Fifteen Small-Scale Societies," OUP Catalogue, Oxford University Press, number 9780199262052.
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