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Quantum Nash equilibrium in the thermodynamic limit

Shubhayan Sarkar, Colin Benjamin

arXiv 19 Jun 2018 · quant-ph · publishedQuantum Information Processing (2019) · 10 citations (OpenAlex)

arXiv:1806.07343 · PDF · DOI · OpenAlex · Extracted main text

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.

Citation extraction

10
references
30
in-text mentions
8
distinct cited
2
self-citations
5,442
main-text words

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Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1S. Sarkar and C. Benjamin, Emergence of Cooperation in the thermodyn… (2018) self1.000113100%
2J. Eisert, M. Wilkens, and M. Lewenstein, Quantum Games and Quantum… (1999)0.73732100%
3S. Galam and B. Walliser, Ising model versus normal form game, Physi… (2010)0.69361100%
4S. Sarkar and C. Benjamin, Triggers for cooperative behavior in the… (2018) self0.69351100%
5Web article "http://www.nyu.edu/classes/tuckerman/ṁech/lectures/lect…0.51121100%
6J. O. Grabbe, An Introduction to Quantum Game Theory, arXiv:quant-ph…0.40511100%
7Game Theory in Action: An Introduction to Classical and Evolutionary… (2016)0.40511100%
8C. Adami and A. Hintze, Thermodynamics of Evolutionary Games, arXiv (2017)0.40511100%

Showing the top 8 of 8 scored citations.