Equilibrium notions for games with unawareness in the literature cannot be interpreted as steady-states of a learning process because players may discover novel actions during play. In this sense, many games with unawareness are "self-destroying" as a player's representation of the game may change after playing it once. We define discovery processes where at each state there is an extensive-form game with unawareness that together with the players' play determines the transition to possibly another extensive-form game with unawareness in which players are now aware of actions that they have discovered. A discovery process is rationalizable if players play extensive-form rationalizable strategies in each game with unawareness. We show that for any game with unawareness there is a rationalizable discovery process that leads to a self-confirming game that possesses a self-confirming equilibrium in extensive-form rationalizable conjectures. This notion of equilibrium can be interpreted as steady-state of both a discovery and learning process.
翻译:文学中无知游戏的平衡概念不能被解释为学习过程的稳定状态, 因为玩家在游戏中可能会发现新的动作。 从这个意义上讲, 许多无知游戏在玩游戏时“ 自我毁灭 ”, 作为玩家对游戏的描述在玩过一次之后可能会发生改变。 我们定义了发现过程, 在每个州, 都有一种内容广泛的游戏, 而没有意识到游戏玩家的游戏决定着向另一个可能内容广泛的游戏的过渡, 而游戏玩家现在不知道他们已经发现的行动。 如果玩家在每个游戏中以无知的方式玩广泛形成的可合理化战略, 发现过程是可以合理化的。 我们显示, 对于任何一个无意识的游戏来说, 存在一个可以合理化的发现过程, 导致一个拥有一种在广泛形式合理化的猜想中自我确认平衡的游戏。 这种平衡概念可以被解释为发现和学习过程的稳定状态 。