PP-2011-23: van Benthem, Johan and van Ditmarsch, Hans and Minica, Stefan (2011) Question-Answer Games. [Report]
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Abstract
We propose strategic games wherein the strategies consist of players
asking each other questions and answering those questions. We formally
define simplifications of such games wherein two players
simultaneously ask each other a question that the opponent is then
obliged to answer. The motivation for our research is to model
conversation including the dynamics of questions and answers, to
provide new links between game theory and dynamic logics of
information, and to exploit the dynamic/strategic structure that, we
think, lies implicitly inside epistemic models for epistemic
languages, and to make that structure an explicit subject of logical
study. Our results are: the notion of a two-person question-answer
game with information goals, the existence and computation of Bayesian
equilibria for these games, and a connection between logic and game
theory namely the existence of equilibria for positive goal formulae.
| Item Type: | Report |
|---|---|
| Report Nr: | PP-2011-23 |
| Series Name: | Prepublication (PP) Series |
| Year: | 2011 |
| Uncontrolled Keywords: | modal logic, game theory, two-person strategic form games, de re / de dicto |
| Subjects: | Logic |
| Depositing User: | Johan van Benthem |
| Date Deposited: | 12 Oct 2016 14:37 |
| Last Modified: | 12 Oct 2016 14:37 |
| URI: | https://eprints.illc.uva.nl/id/eprint/427 |
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