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Modeling Coopetition as a Quantum Game

机译：建模合作作为量子游戏

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摘要

Coopetition is defined as the existence of simultaneous competition and cooperation between the same set of players, leading to entanglement of payoffs and actions of the players. This paper provides insights into the game theoretical application of quantum games to model simultaneity and entanglement that occur in coopetition. Modeling as a quantum game also allows for a larger action space and hence new equilibrium that may not have existed earlier. The impact of the level of entanglement on the equilibrium of the game can also be studied. We demonstrate the same through an example of two players who currently compete in the domestic market and are considering cooperating simultaneously in the international market. They need to determine the equilibrium strategy to adopt under coopetition that maximizes their payoffs. We also arrive at how to ensure that the quantum strategy is the equilibrium strategy for both players, namely, how to design the quantum strategy and how to define the unitary operator.
机译：合作被定义为同一组球员之间同时竞争和合作的存在，导致参与者的收益和行动纠缠。本文提供了对Quantum游戏的游戏理论应用，以便在合作中发生的模型同时性和纠缠的洞察。根据量子游戏的建模还允许更大的动作空间，因此可能尚未存在的新平衡。还可以研究纠缠在游戏均衡的影响。我们通过目前在国内市场竞争的两名球员的一个例子展示了相同的例子，并正在考虑在国际市场上同时合作。他们需要确定在合作中采取的均衡战略，以最大化其收益。我们还致力于如何确保量子策略是两个玩家的均衡策略，即如何设计量子策略以及如何定义单一运算符。

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  • 来源
    《International game theory review》 |2020年第2期|2040001.1-2040001.13|共13页
  • 作者

    Sujatha Babu; Usha Mohan; Tiru Arthanari;

  • 作者单位

    Department of Management Studies Indian Institute of Technology Madras Chennai India;

    Department of Management Studies Indian Institute of Technology Madras Chennai India;

    Faculty of Business and Economics The University of Auckland New Zealand;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Coopetition; quantum game;

    机译：合作;量子游戏;

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