Interactive Epistemology in Simple Dynamic Games with a Continuum of Strategies
Pierpaolo Battigalli (),
Gabriele Beneduci and
No 602, Working Papers from IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University
We extend the epistemic analysis of dynamic games of Battigalli and Siniscalchi (1999, 2002, 2007) from finite dynamic games to all simple games, that is, fi nite and infi nite-horizon games with finite action sets at non-terminal stages and compact action sets at terminal stages. We prove a generalization of Lubins (1974) extension result to deal with conditional probability systems and strong belief. With this, we can provide a short proof of the following result: in every simple dynamic game, strong rationalizability characterizes the behavioral implications of rationality and common strong belief in rationality. Keywords: Epistemic game theory, simple in finite dynamic game, strong belief, strong rationalizability.
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Journal Article: Interactive epistemology in simple dynamic games with a continuum of strategies (2019)
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