Algorithmic Characterization of Rationalizability in Extensive Form Games
Oliver Board
Abstract
Open-access reader
Oliver Board
Abstract
Open-access reader
We construct a dynamic epistemic model for extensive form games, which generates a hierarchy of beliefs for each player over her opponents` strategies and beliefs, and tells us how those beliefs will be revised as the game proceeds. We use the model to analyze the implications of the assumption that the players possess common (true) belief in rationality, thus extending the concept of rationalizability to extensive form games.
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We construct a dynamic epistemic model for extensive form games, which generates a hierarchy of beliefs for each player over her opponents` strategies and beliefs, and tells us how those beliefs will be revised as the game proceeds. We use the model to analyze the implications of the assumption that the players possess common (true) belief in rationality, thus extending the concept of rationalizability to extensive form games.
Key concepts: Rationalizability, Rationality, Construct (python library), Mathematical economics, Hierarchy, Characterization (materials science), Sequential game, Extensive-form game