Existence of equilibria in quantum Bertrand–Edgeworth duopoly game

Both classical and quantum version of two models of price competition in duopoly market, the one is realistic and the other is idealized, are investigated. The pure strategy Nash equilibria of the realistic model exists under stricter condition than that of the idealized one in the classical form ga...

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Bibliographic Details
Published inQuantum information processing Vol. 11; no. 6; pp. 1371 - 1379
Main Authors Sekiguchi, Yohei, Sakahara, Kiri, Sato, Takashi
Format Journal Article
LanguageEnglish
Published New York Springer US 01.12.2012
Subjects
Data Structures and Information Theory
Mathematical Physics
Physics
Physics and Astronomy
Quantum Computing
Quantum Information Technology
Quantum Physics
Spintronics
Continuous quantum variables
Bertrand–Edgeworth duopoly game
Existence of Nash equilibria
Quantum game
Edgeworth paradox
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Summary:Both classical and quantum version of two models of price competition in duopoly market, the one is realistic and the other is idealized, are investigated. The pure strategy Nash equilibria of the realistic model exists under stricter condition than that of the idealized one in the classical form game. This is the problem known as Edgeworth paradox in economics. In the quantum form game, however, the former converges to the latter as the measure of entanglement goes to infinity.
ISSN:1570-0755
1573-1332
DOI:10.1007/s11128-011-0276-4