Similarity of differential information with subjective prior beliefs
We present a complete, separable and metrizable topology on the product space of information and (subjective) beliefs. Such a topology formalizes similarity of differential information without the assumption of a common prior, but under the assumption that objectively impossible events are considered impossible by subjective beliefs. As an application to the theory of the consumer, we provide results on the continuity of expected utility and demand functions. We also provide continuity results for the value of information and the insurance premium as defined in the literature.
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- Radner, Roy, 1979. "Rational Expectations Equilibrium: Generic Existence and the Information Revealed by Prices," Econometrica, Econometric Society, vol. 47(3), pages 655-678, May.
- Morris, Stephen, 1995. "The Common Prior Assumption in Economic Theory," Economics and Philosophy, Cambridge University Press, vol. 11(02), pages 227-253, October.
- Joseph Y. Halpern, 2000.
"Characterizing the Common Prior Assumption,"
Game Theory and Information
- Ali Khan, M. & Rustichini, Aldo, 1993. "Cournot-Nash equilibrium distributions of games with uncertainty and imperfect information," Journal of Mathematical Economics, Elsevier, vol. 22(1), pages 35-59.
- Morris, Stephen, 1994. "Trade with Heterogeneous Prior Beliefs and Asymmetric Information," Econometrica, Econometric Society, vol. 62(6), pages 1327-1347, November.
- Giacomo Bonanno & Klaus Nehring, 1999. "How to make sense of the common prior assumption under incomplete information," International Journal of Game Theory, Springer;Game Theory Society, vol. 28(3), pages 409-434.
- M Ali Khan & Yeneng Sun, 1996.
"Non-Cooperative Games with Many Players,"
Economics Working Paper Archive
382, The Johns Hopkins University,Department of Economics.
- Khan, M. Ali & Sun, Yeneng, 2002. "Non-cooperative games with many players," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 3, chapter 46, pages 1761-1808 Elsevier.
- M Ali Khan & Yeneng Sun, 2002. "Non-Cooperative Games with Many Players," Economics Working Paper Archive 482, The Johns Hopkins University,Department of Economics.
- Khan, A. & Sun, Y., 2000. "Non-Cooperative Games with Many Players," Papiers d'Economie MathÃ©matique et Applications 2000.80, UniversitÃ© PanthÃ©on-Sorbonne (Paris 1).
- Cotter, Kevin D., 1987. "Convergence of information, random variables and noise," Journal of Mathematical Economics, Elsevier, vol. 16(1), pages 39-51, February.
- Cotter, Kevin D., 1991. "Similarity of games with incomplete information," Journal of Mathematical Economics, Elsevier, vol. 20(5), pages 501-520.
- Yannelis, Nicholas C, 1991. "The Core of an Economy with Differential Information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(2), pages 183-197, April.
- João Correia-da-Silva & Carlos Hervés-Beloso, 2004.
"Private Information: Similarity as Compatibility,"
FEP Working Papers
155, Universidade do Porto, Faculdade de Economia do Porto.
- Jordan, James S. & Radner, Roy, 1982. "Rational expectations in microeconomic models: An overview," Journal of Economic Theory, Elsevier, vol. 26(2), pages 201-223, April.
- Beth Allen, 1986. "The Demand for (Differentiated) Information," Review of Economic Studies, Oxford University Press, vol. 53(3), pages 311-323.
- Van Zandt, Timothy, 2002. "Information, measurability, and continuous behavior," Journal of Mathematical Economics, Elsevier, vol. 38(3), pages 293-309, November.
- Roy Radner, 1997. "Rational Expectations Equilibrium: Generic Existence and the Information Revealed by Prices," Levine's Working Paper Archive 1594, David K. Levine.
- Moreno, Diego & Shitovitz, Benyamin & Haimanko, Ori & Einy, Ezra, 2003.
"On the continuity of equilibrium and core correspondences in economies with differential information,"
UC3M Working papers. Economics
we032707, Universidad Carlos III de Madrid. Departamento de Economía.
- Ezra Einy & Ori Haimanko & Diego Moreno & Benyamin Shitovitz, 2005. "On the continuity of equilibrium and core correspondences in economies with differential information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(4), pages 793-812, November.
- Allen, Beth, 1983. "Neighboring information and distributions of agents' characteristics under uncertainty," Journal of Mathematical Economics, Elsevier, vol. 12(1), pages 63-101, September.
- Cotter, Kevin D., 1986. "Similarity of information and behavior with a pointwise convergence topology," Journal of Mathematical Economics, Elsevier, vol. 15(1), pages 25-38, February.
- Stinchcombe, Maxwell B., 1993. "A further note on Bayesian information topologies," Journal of Mathematical Economics, Elsevier, vol. 22(2), pages 189-193.
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