Games with Type Indeterminate Players

Ariane Lambert-Mogiliansky () and Ismael Martinez-Martinez
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Ariane Lambert-Mogiliansky: PSE - Paris-Jourdan Sciences Economiques - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - INRA - Institut National de la Recherche Agronomique - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement
Ismael Martinez-Martinez: DICE - Düsseldorf Institute for Competition Economics - Heinrich Heine Universität Düsseldorf = Heinrich Heine University [Düsseldorf]

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Abstract: We develop a basic framework encoding preference relations on the set of possible strategies in a quantum-like fashion. The Type Indeterminacy model introduces quantum-like uncertainty affecting preferences. The players are viewed as systems subject to measurements. The decision nodes are, possibly non-commuting, operators that measure preferences modulo strategic reasoning. We define a Hilbert space of types and focus on pure strategy TI games of maximal information. Preferences evolve in a non-deterministic manner with actions along the play: they are endogenous to the interaction. We propose the Type Indeterminate Nash Equilibrium as a solution concept relying on best-replies at the level of eigentypes.

Keywords: Type Indeterminacy; Superposition of preferences; Hilbert space of types; Type Indeterminate Nash Equilibrium (search for similar items in EconPapers)
Date: 2015-03
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Published in Quantum Interaction. 8th International Conference, QI 2014, Filzbach, Switzerland, June 30 - July 3, 2014, 8951, Springer, pp.223-239, 2015, Quantum Interaction 8. International Conference Revised Selected Paper, ⟨10.1007/978-3-319-15931-7_18⟩

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Persistent link: https://EconPapers.repec.org/RePEc:hal:pseptp:halshs-01128901

DOI: 10.1007/978-3-319-15931-7_18

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