4 research outputs found
A probabilistic approach to quantum Bayesian games of incomplete information
A Bayesian game is a game of incomplete information in which the rules of the
game are not fully known to all players. We consider the Bayesian game of
Battle of Sexes that has several Bayesian Nash equilibria and investigate its
outcome when the underlying probability set is obtained from generalized
Einstein-Podolsky-Rosen experiments. We find that this probability set, which
may become non-factorizable, results in a unique Bayesian Nash equilibrium of
the game.Comment: 18 pages, 2 figures, accepted for publication in Quantum Information
Processin
Quantum Penny Flip game with unawareness
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