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.
CITATION STYLE
Lambert-Mogiliansky, A., & Martínez-Martínez, I. (2015). Games with type indeterminate players: A Hilbert space approach to uncertainty and strategic manipulation of preferences. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 8951, pp. 223–239). Springer Verlag. https://doi.org/10.1007/978-3-319-15931-7_18
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