Games with Type Indeterminate Players

Ariane Lambert-Mogiliansky and Ismael Martínez-Martínez

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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:journl:halshs-01128901

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

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