Games with Type Indeterminate Players
Book section: 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.
Author(s)
Ariane Lambert-Mogiliansky, Ismael Martinez-Martinez
Publisher(s)
- Springer
Collection
- Quantum Interaction 8. International Conference Revised Selected Paper
Title of the work
- Quantum Interaction. 8th International Conference, QI 2014, Filzbach, Switzerland, June 30 – July 3, 2014
Date of publication
- 2015
Keywords
- Type Indeterminacy
- Superposition of preferences
- Hilbert space of types
- Type Indeterminate Nash Equilibrium
Title of the congress
- 8. International Conference on Quantum Interaction. (QI-14)
Pages
- 223-239
URL of the HAL notice
Version
- 1
Volume
- 8951