Temporal Aspects of the Dynamics of Knowledge

Goranko, Valentin; Pacuit, Eric

doi:10.1007/978-3-319-06025-5_9

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2015

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“…• Goranko and Hawke (2010) introduce concurrent informational game structures (CIGS) with two uncertainty relations: one a priori and one empirical capturing the uncertainty player has at the beginning of the game (like our game information) and in the actual plays respectively. In Goranko and Pacuit (2014), some general thoughts are given on the computation of the empirical uncertainty based on the a priori information of the game and player abilities.…”

Section: Related Workmentioning

confidence: 99%

From rules to runs: A dynamic epistemic take on imperfect information games

Li,

Wang

2015

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In the literature of game theory, the information sets of extensive form games have different interpretations, which may lead to confusions and paradoxical cases. We argue that the problem lies in the mix-up of two interpretations of the extensive form game structures: game rules or game runs which do not always coincide. In this paper, we try to separate and connect these two views by proposing a dynamic epistemic framework in which we can compute the runs step by step from the game rules plus the given assumptions of the players. We propose a modal logic to describe players' knowledge and its change during the plays, and provide a complete axiomatization. We also show that, under certain conditions, the mix-up of the rules and the runs is not harmful due to the structural similarity of the two.

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Section: Related Workmentioning

confidence: 99%