Quantum-Like Model for Decision Making Process in Two Players Game View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2011-03

AUTHORS

Masanari Asano, Masanori Ohya, Andrei Khrennikov

ABSTRACT

In experiments of games, players frequently make choices which are regarded as irrational in game theory. In papers of Khrennikov (Information Dynamics in Cognitive, Psychological and Anomalous Phenomena. Fundamental Theories of Physics, Kluwer Academic, Norwell, 2004; Fuzzy Sets Syst. 155:4–17, 2005; Biosystems 84:225–241, 2006; Found. Phys. 35(10):1655–1693, 2005; in QP-PQ Quantum Probability and White Noise Analysis, vol. XXIV, pp. 105–117, 2009), it was pointed out that statistics collected in such the experiments have “quantum-like” properties, which can not be explained in classical probability theory. In this paper, we design a simple quantum-like model describing a decision-making process in a two-players game and try to explain a mechanism of the irrational behavior of players. Finally we discuss a mathematical frame of non-Kolmogorovian system in terms of liftings (Accardi and Ohya, in Appl. Math. Optim. 39:33–59, 1999). More... »

PAGES

538-548

Journal

TITLE

Foundations of Physics

ISSUE

3

VOLUME

41

Author Affiliations

From Grant

  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s10701-010-9454-y

    DOI

    http://dx.doi.org/10.1007/s10701-010-9454-y

    DIMENSIONS

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