Interactive Epistemology and Solution Concepts for Games with Asymmetric Information
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Pierpaolo Battigalli
We use an interactive epistemology framework to provide a systematic analysis of some solution concepts for games with asymmetric information. We characterize solution concepts using expressible epistemic assumptions, represented as events in the canonical space generated by primitive uncertainty about the payoff relevant state, payoff irrelevant information, and actions. In most of the paper, we adopt an interim perspective, which is appropriate to analyze genuine incomplete information. We relate Delta-rationalizability (Battigalli and Siniscalchi, Advances in Theoretical Economics 3, 2003) to interim correlated rationalizability (Dekel, Fudenberg and Morris, Theoretical Economics 2, 2007) and to rationalizability in the interim strategic form. We also consider the ex ante perspective, which is appropriate to analyze asymmetric information about an initial chance move. We prove the equivalence between interim correlated rationalizability and an ex ante notion of correlated rationalizability.
©2011 Walter de Gruyter GmbH & Co. KG, Berlin/Boston
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Articles in the same Issue
- Advances Article
- Strategy-Proof Compromises
- Make-or-Buy Decisions and the Manipulability of Performance Measures
- Optimal Mechanism for Selling Two Goods
- A Property of Solutions to Linear Monopoly Problems
- Interactive Epistemology and Solution Concepts for Games with Asymmetric Information
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- Symmetry or Dynamic Consistency?
- Contributions Article
- When Two-Part Tariffs are Not Enough: Mixing with Nonlinear Pricing
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- Network Architecture and the Left-Right Spectrum
- Information, Authority, and Corporate Hierarchies
- The Benefit of Mixing Private Noise into Public Information in Beauty Contest Games
- Intertemporal Bounded Rationality as Consideration Sets with Contraction Consistency
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- On the Existence and Social Optimality of Equilibria in a Hotelling Game with Uncertain Demand and Linear-Quadratic Costs
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