Quantum Penny Flip game with unawareness

TL;DR

This paper extends the quantum Penny Flip game by incorporating unawareness, modeling how players' limited perceptions affect strategic interactions in quantum game theory.

Contribution

It introduces the concept of unawareness into quantum games, formalizing previous results and exploring new cases within the PQ Penny Flip game framework.

Findings

Formalization of unawareness in quantum games

Analysis of different unawareness scenarios in PQ Penny Flip

Extension of quantum game theory to include perception limitations

Abstract

Games with unawareness model strategic situations in which players' perceptions about the game are limited. They take into account the fact that the players may be unaware of some of the strategies available to them or their opponents as well as the players may have a restricted view about the number of players participating in the game. The aim of the research is to introduce this notion into theory of quantum games. We shall focus on PQ Penny Flip game introduced by D. Meyer. We shall formalize the previous results and consider other cases of unawareness in the game.