Frąckiewicz Piotr
Institute of Mathematics, Pomeranian University, 76-200 Slupsk, Poland.
Entropy (Basel). 2018 Jul 26;20(8):555. doi: 10.3390/e20080555.
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 paper is to introduce this notion into theory of quantum games. We focus on games in strategic form and Eisert-Wilkens-Lewenstein type quantum games. It is shown that limiting a player's perception in the game enriches the structure of the quantum game substantially and allows the players to obtain results that are unattainable when the game is played in a quantum way by means of previously used methods.
具有不完全信息的博弈对战略形势进行建模，其中玩家对博弈的认知是有限的。它们考虑到玩家可能不知道自己或对手可用的某些策略，以及玩家对参与博弈的玩家数量可能有有限的看法。本文的目的是将这一概念引入量子博弈理论。我们专注于战略形式的博弈以及艾泽特 - 威尔肯斯 - 勒温斯坦类型的量子博弈。结果表明，在博弈中限制玩家的认知会极大地丰富量子博弈的结构，并使玩家能够获得通过先前使用的方法以量子方式进行博弈时无法实现的结果。
