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
Version
  • 1
Volume
  • 8951