Coopetition in quantum prisoner’s dilemma and COVID-19

被引:0
作者
Ahmed S. Elgazzar
机构
[1] Arish University,Mathematics Department, Faculty of Science
来源
Quantum Information Processing | 2021年 / 20卷
关键词
Quantum prisoner’s dilemma; Nash equilibrium; Dilemma strength parameters; Quantum entanglement; Coopetition; COVID-19;
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摘要
Decision-making is important especially during a crisis such as the novel COVID-19 pandemic. The quantum prisoner’s dilemma with two dilemma strength parameters is introduced as a model for the interaction between pharmaceutical and other related enterprises during the pandemic. Novel Nash equilibria are identified. The coopetition equilibrium (simultaneous cooperation and competition) is emphasized. Motivated by the novel equilibria of the quantum version, a classical mixed-strategy formulation that can be applied to real-world situations is proposed. Suitable values of the dilemma strength parameters and quantum entanglement can encourage coopetition, which can be considered as a route to full cooperation.
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  • [1] Tanimoto J(2007)Relationship between dilemma occurrence and the existence of a weakly dominant strategy in a two-player symmetric game Biosystems 90 105-114
  • [2] Sagara H(2015)Universal scaling for the dilemma strength in evolutionary games Phys. Life Rev. 14 1-30
  • [3] Wang Z(2018)Scaling the phase-planes of social dilemma strengths shows game-class changes in the five rules governing the evolution of cooperation R. Soc. Open Sci. 5 181085-290
  • [4] Kokubo S(2002)Identifying cooperative behavior: some experimental results in a prisoner’s dilemma game J. Econ. Behav. Organiz. 47 275-766
  • [5] Jusup M(2005)Models of cooperation based on the prisoner’s dilemma and the snowdrift game Ecol. Lett. 8 748-168
  • [6] Tanimoto J(2005)On some variants of prisoner’s dilemma dynamics Appl. Math. Comput. 163 163-215
  • [7] Ito H(2011)Understanding cooperation in the prisoner’s dilemma game Pers. Individ. Differ. 51 210-15
  • [8] Tanimoto J(1999)Quantum games and quantum strategies Phys. Rev. Lett. 83 3077-111
  • [9] Brosig J(2001)Entanglement playing a dominating role in quantum games Phys. Lett. A 289 9-323
  • [10] Doebeli M(2001)Playing a quantum game with a corrupted source Phys. Rev. A 63 020302-460