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Quantum Bayes Correlated Equilibrium and the Comparison of Quantum Information Structures in Games

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  • Furkan Sezer

Abstract

Bergemann and Morris (2016) show that one information structure is more informative than another exactly when it induces a smaller set of Bayes correlated equilibrium outcomes in every game. We build the quantum analogue. An information structure becomes a family of density operators indexed by the payoff state, which the mediator observes. We show that obedience is equivalent to a Loewner domination between operators on one player's subsystem. The equilibrium set is then a nonempty compact spectrahedron computable by semidefinite programming, classical structures embed exactly, and under quantum individual sufficiency more information shrinks the equilibrium set in every game.

Suggested Citation

  • Furkan Sezer, 2026. "Quantum Bayes Correlated Equilibrium and the Comparison of Quantum Information Structures in Games," Papers 2608.04973, arXiv.org.
    • Handle: RePEc:arx:papers:2608.04973
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