Summary
We provide an alternative proof of the existence of core allocations in exchange economies with differential information and infinite dimensional commodity spaces. We also identify a critical feature of information sharing rules that ensures nonemptiness of the core. In essence, the only condition we require on the sharing rules is that profitable “insider trading” be prohibited. In the absence of insider trading, balancedness is guaranteed and core nonemptiness follows.
I thank Dan Acre, Erik Balder, Myrna Wooders, and Nicholas Yannelis for helpful comments. This paper is a greatly revised version of my paper entitled, “A Variational Problem Arising in Market Games with Differential Information,” written in August of 1991
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References
Aliprantis, C.D., Brown, D., Burkinshaw, O.: Existence and optimality of competitive equilibria. New York: Springer 1990
Allen, B.: Market games with asymmetric information and nontransferable utility: representation results and the core. Working Paper #91-09, CARESS, University of Pennsylvania 1991
Allen, B.: Market games with asymmetric information: the private information core. Working Paper #92-04, CARESS, University of Pennsylvania 1992
Balder, E. J.: Infinite-dimensional extension of a theorem of Komlos’. Probability Theory and Related Fields 81, 185–188 (1989)
Balder, E. J.: New sequential compactness results for spaces of scalarly integrable function. Journal of Mathematical Analysis and Applications 151, 1–16 (1990)
Diaz, S.: Weak compactness in L1(μ, x). Working Paper, Departamento de Matematica Aplicada II, Universidad de Sevilla 1994
Diestel, J., Uhl, J.J. Jr.: Vector measures. Mathematical Surveys 15, American Mathematical Society, Providence, Rhode Island 1977
Duffie, D., Huang, C. F.: Implementing Arrow-Debreu equilibria by continuous trading of few long-lived securities. Econometrica 53, 1337–1356 (1985)
Kobayashi, T.: Equilibrium contracts for syndicates with differential information. Econometrica 48, 1635–1665 (1980)
Koutsougeras, L., Yannelis, N.C.: Incentive compatibility and information superiority of the core of an economy with differential information. Economic Theory 3, 195–216 (1993)
Munkres, J.R.: Topology: a first course. Englewood Cliffs, N.J.: Prentice-Hall 1975
Scarf, H.: The core of an N person game. Econometrica 35, 50–69 (1967)
Wilson, R.: Information, efficiency, and the core of an economy. Econometrica 46, 807–816 (1978)
Yannelis, N.C.: The core of an economy with differential information. Economic Theory 1, 183–198 (1991)
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© 2005 Springer-Verlag Berlin Heidelberg
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Page, F.H. (2005). Market games with differential information and infinite dimensional commodity spaces: the core. In: Glycopantis, D., Yannelis, N.C. (eds) Differential Information Economies. Studies in Economic Theory, vol 19. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-26979-7_7
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DOI: https://doi.org/10.1007/3-540-26979-7_7
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