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Tripartite Dynamic Zero-Sum Quantum Games.

Hui-Min Cheng1, Ming-Xing Luo1

  • 1Information Security and National Computing Grid Laboratory, Southwest Jiaotong University, Chengdu 610031, China.

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Summary
This summary is machine-generated.

This study introduces dynamic zero-sum quantum games to resolve fairness issues in classical multipartite games. Quantum strategies offer robust solutions, dynamically adjusting player gains.

Keywords:
Nash-equilibriumdynamic zero-sum gamefairnessquantum game

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Area of Science:

  • Quantum Game Theory
  • Quantum Information Science

Background:

  • Classical game theory, particularly Nash equilibrium, relies on traditional resources.
  • Multipartite zero-sum games present fairness challenges in classical settings.

Purpose of the Study:

  • To explore multipartite zero-sum games within quantum frameworks.
  • To investigate quantum solutions for fairness issues in tripartite classical games.

Main Methods:

  • Development of dynamic zero-sum quantum games utilizing single quantum states.
  • Analysis of game dynamics and player gain adjustments based on quantum states.

Main Results:

  • Classical tripartite games lack fair strategies in two distinct settings.
  • Dynamic quantum games provide a resolution, enabling fair play.
  • Player gains can be dynamically altered by the committed quantum state.
  • The proposed quantum games demonstrate robustness against preparation noise and measurement errors.

Conclusions:

  • Quantum mechanics offers novel solutions to long-standing problems in classical game theory.
  • Dynamic quantum games present a promising avenue for fair and robust strategic interactions.