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On the epistemic foundation for iterated weak dominance: an analysis in a logic of individual and collective attitudes

Lorini, Emiliano On the epistemic foundation for iterated weak dominance: an analysis in a logic of individual and collective attitudes. (2013) Journal of Philosophical Logic, vol. 42 (n° 6). pp. 863-904. ISSN 0022-3611

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Official URL: http://dx.doi.org/10.1007/s10992-013-9297-z

Abstract

This paper proposes a logical framework for representing static and dynamic properties of different kinds of individual and collective attitudes. A complete axiomatization as well as a decidability result for the logic are given. The logic is applied to game theory by providing a formal analysis of the epistemic conditions of iterated deletion of weakly dominated strategies (IDWDS), or iterated weak dominance for short. The main difference between the analysis of the epistemic conditions of iterated weak dominance given in this paper and other analysis is that we use a semi-qualitative approach to uncertainty based on the notion of plausibility first introduced by Spohn, whereas other analysis are based on a quantitative representation of uncertainty in terms of probabilities.

Item Type:Article
Additional Information:Thanks to Springer Verlag editor. The definitive version is available at http://link.springer.com/article/10.1007%2Fs10992-013-9297-z
HAL Id:hal-01130395
Audience (journal):International peer-reviewed journal
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Institution:Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
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Deposited By: IRIT IRIT
Deposited On:11 Mar 2015 15:55

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