A quantum extension to inspection game
Xinyang Deng, Yong Deng, Qi Liu, and Zhen Wang
TL;DR
This paper extends the classical inspection game into a quantum framework by quantizing strategies and using entanglement, revealing multiple Nash equilibria and individual payoff improvements without collective Pareto gains.
Contribution
It introduces a quantum version of the inspection game, demonstrating how quantum strategies and entanglement influence equilibrium outcomes and payoffs.
Findings
Multiple Nash equilibria depend on initial quantum states
Quantum strategies can increase individual payoffs
No Pareto improvement for collective payoff in quantum version
Abstract
Quantum game theory is a new interdisciplinary field between game theory and physical research. In this paper, we extend the classical inspection game into a quantum game version by quantizing the strategy space and importing entanglement between players. Our result shows that the quantum inspection game has various Nash equilibrium depending on the initial quantum state of the game. It is also shown that quantization can respectively help each player to increase his own payoff, yet fails to bring Pareto improvement for the collective payoff in the quantum inspection game.
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Taxonomy
TopicsQuantum Mechanics and Applications · Game Theory and Applications · Quantum Information and Cryptography