Preference-based belief operators |
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| Institution: | 1. Department of Economics, University of Oslo, P.O. Box 1095 Blindern, NO-0317 Oslo, Norway;2. ECON Analysis, P.O. Box 5, NO-0051 Oslo, Norway;1. Institute for Information Transmission Problems (Kharkevich Institute) of Russian Academy of Sciences (IITP), Bolshoy Karetny per. 19, build. 1, Moscow 127051, Russia;2. Russian University of Transport (MIIT), Novosuschevsky, 22, Moscow 127994, Russia;3. Faculty of Mechanics and Mathematics, Moscow State University, Vorobyovy gory, 1, Main Building of MSU, 119991 Moscow, Russia;1. Graduate School of Informatics, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8601, Japan;2. Graduate School of System Informatics, Kobe University, 1-1 Rokkodai-cho, Nada-ku, Kobe 657-8501, Japan;3. Faculty of Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan;1. Einstein Institute of Mathematics, Hebrew University of Jerusalem, Israel;2. Department of Mathematics and Applied Mathematics, Virginia Commonwealth University, Richmond, VA 23284, United States;1. Department of Mathematics and Statistics, Faculty of Science, Masaryk University, Brno, Czech Republic;2. Department of Mathematics, Harvard University, Cambridge, MA, USA |
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| Abstract: | We show how different kinds of belief operators derived from preferences can be defined in terms an accessibility relation of epistemic priority, and characterized by means of a vector of nested accessibility relations. The semantic structure enables us to compare and reconcile certain non-standard notions of belief that have recently been used in epistemic analyses of games. |
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