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This paper explores multi-stage incomplete information games with common ambiguous information about states or types and ambiguity averse players. We characterize a belief formation process that allows players to take their knowledge about the structure of the game into account. This process leads to subjective rectangular ex-ante belief sets for all players. We show that given these sets of beliefs, players behave dynamically consistent. Therefore, using our belief formation process, we can extend the concept of sequential equilibria to multi-stage ambiguous incomplete information games. Furthermore, we characterize assumption under which sequential rationality implies rectangularity. [ABSTRACT FROM AUTHOR]

We propose a new solution concept, called Context-Dependent Equilibrium Under Ambiguity (CD-EUA), for strategic games where players' beliefs may be influenced by exogenous context-related information. Players' beliefs about the strategic behavior of their opponents are represented by belief functions. The notion of belief functions allows us to combine exogenous context information in the spirit of Schelling (1960) with endogenous equilibrium beliefs about the opponents' behavior in analogy to the standard Nash equilibrium. For any finite strategic game, we prove existence of a CD-EUA for any context information and any degree of confidence in it. Moreover, we show continuity of the equilibrium correspondence. Finally, we illustrate how CD-EUA can be applied to different types of context information in games by explaining some stylized facts from experimental research on coordination. [ABSTRACT FROM AUTHOR]

We study whether the basic tenets of the theory of zero-sum games are still valid when players are uncertainty averse. We focus on games with one-sided information, in which the uninformed player is uncertain about the state of nature. Uncertainty aversion turns the underlying zero-sum game into a many-player, non-zero-sum game. We show that the uninformed player has a unique equilibrium payoff. We provide conditions under which there is a unique equilibrium payoff vector. [ABSTRACT FROM AUTHOR]

We consider a game in extensive form recurrently played by agents who are randomly drawn from large populations and matched. We assume that preferences over actions at any information set admit a smooth-ambiguity representation in the sense of Klibanoff et al. (2005) , which may induce dynamic inconsistencies. We take this into account in our analysis of self-confirming equilibrium (SCE) given players' feedback about the path of play. Battigalli et al. (2015) show that the set of SCE's of a simultaneous-move game with feedback expands as ambiguity aversion increases. We show by example that SCE in a sequential game is not equivalent to SCE applied to the strategic form of such game, and that the previous monotonicity result does not extend to general sequential games. Still, we provide sufficient conditions under which the monotonicity result holds for SCE. [ABSTRACT FROM AUTHOR]