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.

中文翻译：

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无意识游戏中的发现与平衡

文献中无意识游戏的均衡概念不能解释为学习过程的稳态，因为玩家可能会在游戏过程中发现新的动作。从这个意义上说，许多不知情的游戏都是“自我毁灭”，因为玩家对游戏的表现可能会在玩一次后发生变化。我们定义了发现过程，其中在每个状态都有一个不知道的扩展形式游戏，与玩家的游戏一起决定了可能过渡到另一个不知道的扩展形式游戏，其中玩家现在意识到他们已经发现的动作。如果玩家在每个游戏中不自觉地玩扩展形式的合理化策略，则发现过程是合理化的。我们表明，对于任何无意识的游戏，都有一个可合理化的发现过程，该过程会导致一个自我确认的游戏，该游戏在可扩展形式的可合理化猜想中拥有自我确认的均衡。这种平衡的概念可以解释为发现和学习过程的稳态。