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Entanglement renders free riding redundant in the thermodynamic limit

Author

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  • Sarkar, Shubhayan
  • Benjamin, Colin

Abstract

The free rider problem is one of the most well studied problems in economics. The solution proposed mainly is punitive in order to deter people from free riding. In this work we introduce quantum strategies and also study the problem by using the mathematical structure of 1D Ising model in the infinite player limit. We observe that for maximum entanglement the quantum strategy is always the equilibrium solution, i.e., the strategy chosen by majority of the players independent of the payoffs, solving the free rider problem.

Suggested Citation

  • Sarkar, Shubhayan & Benjamin, Colin, 2019. "Entanglement renders free riding redundant in the thermodynamic limit," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 607-613.
    • Handle: RePEc:eee:phsmap:v:521:y:2019:i:c:p:607-613
    DOI: 10.1016/j.physa.2019.01.085
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    References listed on IDEAS

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    1. Galam, Serge & Walliser, Bernard, 2010. "Ising model versus normal form game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(3), pages 481-489.
    2. Wang, Lu & Ye, Shun-Qiang & Cheong, Kang Hao & Bao, Wei & Xie, Neng-gang, 2018. "The role of emotions in spatial prisoner’s dilemma game with voluntary participation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 1396-1407.
    3. Ellero, Andrea & Fasano, Giovanni & Sorato, Annamaria, 2009. "A modified Galam’s model for word-of-mouth information exchange," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(18), pages 3901-3910.
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