Preference-based belief operators

Mathematical social sciences

Volumn 50, Issue 1, 2005, Pages 61-82

  Asheim, Geir B ^a   Søvik, Ylva ^a,b  

^a UNIVERSITY OF OSLO   (Norway)

^b ECON Analysis   (Norway)

Author keywords

Belief operators; Belief revision; Decision theory

Indexed keywords

EID: 18744406660     PISSN: 01654896     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mathsocsci.2005.01.001     Document Type: Article

References (37)

1. C. Alchourrón P. Gärdenfors D. Makinson On the logic of theory change: Partial meet contraction functions and their associated revision functions Journal of Symbolic Logic 50 1985 510-530
2. F.J. Anscombe R. Aumann A definition of subjective probability Annals of Mathematical Statistics 34 1963 199-205
3. Arló-Costa, H., Parith, R., 2003. Conditional probability and defeasible inference. CMU and CUNY.
4. Asheim, G.B., in press. The consistent preferences approach to deductive reasoning in games. Springer, Dordrecht.
5. G.B. Asheim M. Dufwenberg Admissibility and common belief Games Economic Behavior 42 2003 208-234
6. Asheim, G.B., Søvik, Y., 2003. The semantics of preference-based belief operators. Memorandum No. 05/2003, Department of Economcis, University of Oslo.
7. R.J. Aumann Utility theory without the completeness axiom Econometrica 30 1962 445-462
8. R.J. Aumann Interactive epistemology II: Probability International Journal of Game Theory 28 1999 301-314
9. P. Battigalli G. Bonanno Recent results on belief, knowledge and the epistemic foundations of game theory Research in Economics 53 1999 149-225
10. P. Battigalli M. Siniscalchi Interactive beliefs and forward induction reasoning Journal of Economic Theory 106 2002 356-391
11. E. Ben-Porath Rationality, Nash equilibrium, and backwards induction in perfect information games Review of Economic Studies 64 1997 23-46
12. L. Blume A. Brandenburger E. Dekel Lexicographic probabilities and choice under uncertainty Econometrica 59 1991 61-79
13. W. Böge T. Eisele On the solutions of Bayesian games International Journal of Game Theory 8 1979 193-215
14. G. Boutilier Unifying default reasoning and belief revision in a model framework Artificial Intelligence 68 1994 33-85
15. A. Brandenburger Lexicographic probabilities and iterated admissibility In: P. Dasgupta D. Gale O. Hart E. Maskin (Eds.) Economic analysis of markets and games 1992 MIT Press Cambridge, MA 217-234
16. A. Brandenburger E. Dekel Hierarchies of beliefs and common knowledge Journal of Economic Theory 59 1993 189-198
17. Brandenburger, A., Friedenberg, A., 2003. Common assumption of rationality in games. NYU and Washington University.
18. Brandenburger, A., Keisler, H.J., 1999. An impossibility theorem on beliefs in games. Harvard Business School Working Paper 00-010.
19. Brandenburger, A., Keisler, H.J., 2002. Epistemic conditions for iterated admissibility. Harvard Business School and University of Wisconsin-Madison.
20. L.G. Epstein T. Wang 'Beliefs about beliefs' without probabilities Econometrica 64 1996 1343-1373
21. Feinberg, Y., in press. Subjective reasoning-dynamic games. Games and Economic Behavior (
22. N. Friedman J.Y. Halpern Plausibility measures: A user's guide Proceedings of the eleventh conference on uncertainty in AI 1995 175-184
23. A. Grove Two models for theory change Journal of Philosophical Logic 17 1988 157-170
24. J.Y. Halpern Lexicographic probability, conditional probability, and nonstandard probability 2003 Cornell University
25. P.J. Hammond Elementary non-Archimedean representations of probability for decision theory and games In: P. Humphreys (Eds.) Patrick suppes: scientific philosopher Probability and probabilistic causality vol. 1 1994 Kluwer Dordrecht 25-59
26. S. Kraus D. Lehmann M. Magidor Nonmonotonic reasoning, preferential models and cumulative logic Artificial Intelligence 44 1990 167-207
27. P. Lamarre Y. Shoham Knowledge, certainty, belief, and conditionalisation In: J. Doyle E. Sandewall P. Torasso (Eds.) Proceedings of the 4th international conference on principles of knowledge representation and reasoning (KR'94) 1994 Morgan Kaufmann San Francisco 415-424
28. A. McLennan The space of conditional systems is a ball International Journal of Game Theory 18 1989 125-139
29. J.-M. Mertens S. Zamir Formulation of Bayesian analysis for games of incomplete information International Journal of Game Theory 14 1985 1-29
30. S. Morris Alternative notions of belief In: M. Bacharach L.-A. Gérard-Varet Ph. Mongin H. Shin (Eds.) Epistemic logic and the theory of games and decisions 1997 Kluwer Dordrecht 217-233
31. Y. Shoham Reasoning about change 1988 MIT Press Cambridge, MA
32. W. Spohn A general non-probabilistic theory of inductive inference In: W.L. Harper B. Skyrms (Eds.) Causation in decisions, belief change and statistics 1988 Reidel Dordrecht 105-134
33. R. Stalnaker Knowledge, belief and counterfactual reasoning in games Economics and Philosophy 12 1996 133-163
34. R. Stalnaker Belief revision in games: Forward and backward induction Mathematical Social Sciences 36 1998 57-68
35. T. Tan S.R.C. Werlang The Bayesian foundations of solution concepts of games Journal of Economic Theory 45 1988 370-391
36. B.C. van Fraassen Representation of conditional probabilities Journal of Philosophical Logic 5 1976 417-430
37. B.C. van Fraassen Fine-grained opinion, probability, and the logic of full belief Journal of Philosophical Logic 24 1995 349-377