The logic of pit
Synthese 149 (2) (2006)
| Abstract | Pit is a multi-player card game that simulates the commodities trading market, and where actions consist of bidding and of swapping cards. We present a formal description of the knowledge and change of knowledge in that game. The description is in a standard language for dynamic epistemics expanded with assignment. Assignment is necessary to describe that cards change hands. The formal description is a prerequisite to model Pit in game theory. The main contribution of this paper should be seen as the rigorous formalization of all knowledge in Pit. | |||||||||
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Hans Van Ditmarsch (2003). The Russian Cards Problem. Studia Logica 75 (1):31 - 62.
Hans van Ditmarsch (2003). The Russian Cards Problem. Studia Logica 75 (1).
Giacomo Bonanno (2002). Modal Logic and Game Theory: Two Alternative Approaches. Risk Decision and Policy 7:309-324.
David Sapire (1979). Metaphysical Relativism: The Universe as a Bottomless Pit. Philosophical Papers 8 (2):66-68a.
Marc Pauly & Rohit Parikh (2003). Game Logic - an Overview. Studia Logica 75 (2):165 - 182.
Hans P. van Ditmarsch (2002). Descriptions of Game Actions. Journal of Logic, Language and Information 11 (3):349-365.
Hans P. Van Ditmarsch (2006). The Logic of Pit. Synthese 149 (2):343 - 374.
Shier Ju & Xuefeng Wen (2008). An N -Player Semantic Game for an N + 1-Valued Logic. Studia Logica 90 (1):17 - 23.
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