Probability Logic for Type Spaces

Games and Economic Behavior

Volumn 35, Issue 1-2, 2001, Pages 31-53

  Heifetz, Aviad ^a   Mongin, Philippe ^b  

^a TEL AVIV UNIVERSITY   (Israel)

^b UMR 8184   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0345856610     PISSN: 08998256     EISSN: None     Source Type: Journal    
DOI: 10.1006/game.1999.0788     Document Type: Article

References (24)

1. Aumann, R. J. (1995). "Interactive Epistemology," Discussion Paper No. 67, Center for Rationality and Interactive Decision Theory, The Hebrew University of Jerusalem.
2. Aumann, R. J. (1999). "Interactive Epistemology II: Probability," Int. J. Game Theory 28, 301-314.
3. Bacchus, F. (1990). Representing and Reasoning with Probabilistic Knowledge, Cambridge, MA: The MIT Press.
4. Chellas, B. (1980). Modal Logic, Cambridge: Cambridge University Press.
5. De Finetti, B. (1951). "La 'logica del plausible' secondo la Coucezione di Polya," Atti della -XLII Riunione della Societa Italiana per il Progresso delle Scienze, 1949, pp. 1-10.
6. Fagin, R. and Halpern, J. Y. (1994). "Reasoning about Knowledge and Probability," J. Assoc. Computing Machinery 41, 340-367.
7. Fagin, R., Halpern, J. Y., and Megiddo, N. (1990). "A Logic for Reasoning about Probabilities," Inf. Comput. 87, 78-128.
8. Gaifman, H. (1986). "A Theory of Higher Order Probabilities," in Proceedings of the 1986 Conference on Theoretical Aspects of Reasoning about Knowledge (TARK), (J. Y. Halpern, Ed.), Los Altos, CA: Morgan Kaufmann.
9. Gärdenfors, P. (1975). "Qualitative Probability as an Intensional Logic," J. Philosoph. Logic 4, 171-185.
10. Halpern, J. Y., and Moses, Y. (1992). "A Guide to Completeness and Complexity for Modal Logics of Knowledge and Beliefs," Artificial Intelligence 54, 319-379.
11. Harsanyi, J. C. (1967-1968). "Games with Incomplete Information Played by Bayesian Players" parts I-III, Management Sci. 14, 159-182, 320-334, 486-502.
12. Kraft, C. H., Pratt, J. W., and Seidenberg, A. (1959). "Intuitive Probability on Finite Sets," Ann. Math. Stat. 30, 408-419.
13. Kripke, S. A. (1963). "Semantical Analysis of Modal Logic I. Normal Modal Propositional Calculi," Z. Math. Logik Grund. Math. 9, 67-96.
14. Lismont, L. and Mongin, P. (1994). "A Non-Minimal but Very Weak Axiomatization of Common Belief," Artificial Intelligence, 70, 363-374.
15. Lukasiewicz, J. (1970). Jan Lukasiewicz's Selected Work (L. Berkowski, Ed.), North Holland, p. 16-43.
16. Papamarcou, A. and Fine, T. L. (1986). "A Note on Undominated Lower Probabilities," Ann. Probability 14, 710-723.
17. n," in Combinatorial Mathematics and Its Applications (R. C. Bose and T. A. Dowling. Eds.), University of North Carolina Press.
18. Rockafellar, R. T. (1970). Convex Analysis, Princeton University Press.
19. Samet, D. (1997). "On the Triviality of High-Order Probabilistic Beliefs," J. Philosoph. Logic, forthcoming.
20. Samet, D. (1998). "Quantified Beliefs and Believed Quantities," J. Econ. Theory, forthcoming.
21. Scott, D. (1964). "Measurement Structures and Linear Inequalities," J. Math. Psychol. 1, 223-247.
22. Segerberg, K. (1971). "Qualitative Probability in Modal Setting," Proc. 2d Scand. Log. Symp. (Fenstad, Ed.), Amsterdam.
23. Suppes, P. and Zanotti, M. (1989). "Conditions on Upper and Lower Probabilities to Imply Probabilities," Erkenntnis 31, 323-345.
24. Walley, P. (1981). "Coherent Lower (and Upper) Probabilities," Technical Report, Department of Statistics, University of Warwick, England.