On the existence of a “complete” possibility structure

Cognitive Processes and Economic Behaviour

Volumn , Issue , 2012, Pages 30-34

  Brandenburger, Adam ^a  

^a NEW YORK UNIVERSITY   (United States)

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[No Author keywords available]

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EID: 84925753825     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.4324/9780203929940     Document Type: Chapter

References (19)

1. Armbruster, W. and W. Boge, “Bayesian Game Theory,” in O. Moeschlin and D. Pallaschke (eds), Game Theory and Related Topics, North-Holland, Amsterdam, 1979.
2. Battigalli, P. and M. Siniscalchi, “Hierarchies of Conditional Beliefs and Interactive Epistemology in Dynamic Games,” J. Econ. Theory, 88, 1999, 188–230.
3. Battigalli, P. and M. Siniscalchi, “Strong Belief and Forward-Induction Reasoning “J. Econ. Theory, 106, 2002, 356–391.
4. Boge, W. and T. Eisele, “On Solutions of Bayesian Games,” Int. J. Game Theory, 8, 1979, 193–215.
5. Brandenburger, A. and E. Dekel, “Hierarchies of Beliefs and Common Knowledge,” J. Econ. Theory,59, 1993, 189–198.
6. Brandenburger, A. and H.J. Keisler, “An Impossibility Theorem on Beliefs in Games,” unpublished, 1999.
7. Brandenburger, A. and H.J. Keisler, “Epistemic Conditions for Iterated Admissibility,” unpublished, 2000.
8. Epstein, L. and T. Wang, “Beliefs about Beliefs Without Probabilities,” Econometrica, 64, 1996, 1343–1374.
9. Fagin, R., “A Quantitative Analysis of Modal Logic” J. Symbolic Logic, 59, 1994, 209–252.
10. Fagin, R., J. Geanakoplos, J. Halpern, and M. Vardi, “The Hierarchical Approach to Modeling Knowledge and Common Knowledge,” Int. J. Game Theory, 28, 1999, 331–365.
11. Fagin, R., J. Halpern, and M. Vardi, “A Model-Theoretic Analysis of Knowledge,” J. Assn. Computing Machinery, 38, 1991, 382–428.
12. Gilboa, I., “Information and Meta Information,” in M. Vardi (ed.), Proceedings of the Second Conference on Theoretical Aspects of Reasoning about Knowledge, Morgan Kaufmann, 1988, 227–243.
13. Heifetz, A., “The Bayesian Formulation of Incomplete Information – The Non-Compact Case,” Int. J. Game Theory, 21, 1993, 329–338.
14. Heifetz, A. and D. Samet, “Knowledge Spaces with Arbitrarily High Rank,” Games Econ. Behavior, 22, 1998, 260–273.
15. Mariotti, T. and M. Piccione, “A Hierarchical Construction of a Compact Possibility Model,” unpublished, London School of Economics, 1999.
16. Meier, M., “Conditional Possibility Structures,” unpublished, Universities of Bielefeld and Caen, 2001.
17. Mertens, J-F. and S. Zamir, “Formulation of Bayesian Analysis for Games with Incomplete Information,” Int. J. Game Theory, 14, 1985, 1–29.
18. Pearce, D., “Rational Strategic Behavior and the Problem of Perfection,” Econometrica, 52, 1984, 1029–1050.
19. Salonen, H., “Beliefs, Filters, and Measurability,” unpublished, University of Turku, 1999.