EconPapers    
Economics at your fingertips  
 

Basic Framework for Games with Quantum-like Players

Ariane Lambert-Mogiliansky and Ismael Martínez-Martínez

PSE Working Papers from HAL

Abstract: We develop a framework for the analysis of strategic interactions under the constructive preference perspective à la Kahneman and Tversky formalized in the Type Indeterminacy model. The players are modeled as systems subject to measurements and characterized by quantum-like uncertain preferences. The decision nodes are modeled as, possibly non-commuting, operators that measure preferences modulo strategic reasoning. We define a Hilbert space of types spanned by the players' eigentypes representing their potential preferences in different situations. We focus on pure strategy TI games of maximal information where all uncertainty stems from the intrinsic indeterminacy of preferences. We show that preferences evolve in a non-deterministic manner with actions along the play: they are endogenous to the interaction. We propose the notion of cashing-on-the-go to compute a player's utility, and the Type Indeterminate Nash Equilibrium as a solution concept relying on best-replies at the level of the eigentypes. We illustrate an example exhibiting the phenomenon of the manipulation of rivals' preferences.

Keywords: Type Indeterminacy; Superposition of preferences; Actions as projections; Hilbert space of types; Cashing-on-the-go; Type Indeterminate Nash Equilibrium (search for similar items in EconPapers)
Date: 2014-12
New Economics Papers: this item is included in nep-gth and nep-hpe
Note: View the original document on HAL open archive server: https://pjse.hal.science/hal-01095472v1
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://pjse.hal.science/hal-01095472v1/document (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hal:psewpa:hal-01095472

Access Statistics for this paper

More papers in PSE Working Papers from HAL
Bibliographic data for series maintained by CCSD ().

 
Page updated 2025-03-19
Handle: RePEc:hal:psewpa:hal-01095472