Quantum Nash equilibrium in the thermodynamic limit
Quantum Physics
2019-03-08 v3 Statistical Mechanics
Computer Science and Game Theory
Econometrics
Physics and Society
Abstract
The quantum Nash equilibrium in the thermodynamic limit is studied for games like quantum Prisoner's dilemma and the quantum game of chicken. A phase transition is seen in both games as a function of the entanglement in the game. We observe that for maximal entanglement irrespective of the classical payoffs, a majority of players choose Quantum strategy over Defect in the thermodynamic limit.
Keywords
Cite
@article{arxiv.1806.07343,
title = {Quantum Nash equilibrium in the thermodynamic limit},
author = {Shubhayan Sarkar and Colin Benjamin},
journal= {arXiv preprint arXiv:1806.07343},
year = {2019}
}
Comments
14 pages, 3 figures, accepted for publication in Quantum Information Processing (2019)