Abstract
We investigate a pure exchange economy under uncertainty with emphasis on the logical point of view; the traders are assumed to have a multi-modal logic with non-partitional information structures.We propose a generalized notion of rational expectations equilibrium for the economy and we show the core equivalence theorem: The ex-post core for the economy coincides with the set of all its rational expectations equilibria.
This is an extended abstract and the final form will be published elsewhere.
Partially supported by the Grant-in-Aid for Scientific Research(C)(2)(No.14540145) in the Japan Society for the Promotion of Sciences.
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Aumann, R. J.: Markets with a continuum of traders, Econometrica 32 (1964) 39–50.
Bacharach, M. O.: Some extensions of a claim of Aumann in an axiomatic modelof knowledge, Journal of Economic Theory 37 (1985) 167–190.
Chellas, B. F.: Modal Logic: An introduction. Cambridge University Press, Cambridge, London, New York, New Rochelle, Melbourne, Sydney (1980)
Debreu, G.: Existence of competitive equilibrium. In Arrow, K.J. and Intriligator, M.D., (eds): Handbook of Mathematical Economics, Volume 2. North-Holland Publishing Company, Amsterdam (1982) 697–744.
Einy, E., Moreno, D. and Shitovitz, B.: Rational expectations equilibria and the ex-post core of an economy with asymmetric information, Journal of Mathematical Economics 34 (2000) 527–535.
Fagin, R., Halpern, J.Y., Moses, Y., and Vardi, M.Y. Reasoning about Knowledge. The MIT Press, Cambridge, Massachusetts, London, England (1995)
Geanakoplos, J.: Game theory without partitions, and applications to speculation and consensus, Cowles Foundation Discussion Paper No. 914 (1989) (Available in http://cowles.econ.yale.edu)
Matsuhisa, T. and Ishikawa, R.: Rational expectations can preclude trades. Working paper. Hitotsubashi Discussion Paper Series No. 2002-1 (2002) (Available in http://wakame.econ.hit-u.ac.jp/)
Matsuhisa, T., Ishikawa, R. and Hoshino, Y.: Core equivalence in economy under generalized information. Working paper. Hitotsubashi Discussion Paper Series No.2002-12 (2002) (Available in http://wakame.econ.hit-u.ac.jp/)
Volij, O.,: Communication, credible improvements and the core of an economy with asymmetric information, International Journal of Game Theory 29 (2000) 63–79.
Wilson, R.: Information, efficiency, and the core of an economy, Econometrica 40 (1978) 807–816.
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Matsuhisa, T. (2003). Core Equivalence in Economy for Modal Logic. In: Sloot, P.M.A., Abramson, D., Bogdanov, A.V., Gorbachev, Y.E., Dongarra, J.J., Zomaya, A.Y. (eds) Computational Science — ICCS 2003. ICCS 2003. Lecture Notes in Computer Science, vol 2658. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44862-4_9
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DOI: https://doi.org/10.1007/3-540-44862-4_9
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