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General equilibrium with information sales

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Abstract

Consider a general equilibrium model in which information is an indivisible differentiated commodity for which satiation occurs at one unit. Suppose that uncountably many types of information are possible which can be costlessly combined by agents who desire information only because it helps them to maximize state dependent utilities under uncertainty. Similarity of information is expressed by a metric which reflects substitution possibilities among different information structures. Such a large pure exchange economy in which prices for (differentiated) information structures and (finitely many) ordinary commodities are determined simultaneously is consistent - equilibrium distributions exist.

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References

  • Allen, B.: 1983, ‘Neighboring Information and Distributions of Agents' Characteristics Under Uncertainty’, Journal of Mathematical Economics 12, 63–101.

    Google Scholar 

  • Allen, B.: 1984, ‘Convergence of σ-Fields and Applications to Mathematical Economies’, in Selected Topics in Operations Research and Mathematical Economics: Proceedings, Karlsruhe, West Germany, 1983, edited by G. Hammer and D. Pallaschke, Springer-Verlag Lecture Notes in Economics and Mathematical Systems Volume 226, Heidelberg, pp. 161–174.

  • Allen, B.: 1986, ‘The Demand for (Differentiated) Information’, Review of Economic Studies, forthcoming.

  • Aumann, R. J.: 1976, ‘An Elementary Proof that Integration Preserves Uppersemicontinuity’, Journal of Mathematical Economics 3, 15–18.

    Google Scholar 

  • Aumann, R. J.: undated, ‘A General Equilibrium Model with Information’, (Mimeo).

  • Bewley, T.: 1972, ‘Existence of Equilibria in Economies with Infinitely Many Commodities’, Journal of Economic Theory 4, 514–540.

    Google Scholar 

  • Billingsley, P.: 1968, Convergence of Probability Measures, Wiley, New York.

    Google Scholar 

  • Cotter, K.: 1983, ‘Consumer Choice of Information with a “Weak” Topology’, (Mimeo - Incomplete Draft), Department of Economics, University of Minnesota, Minneapolis.

    Google Scholar 

  • Dudley, R. M.: 1966a, ‘Weak Convergence of Measures on Non-Separable Metric Spaces and Empirical Measures on Euclidean Spaces’, Illinois Journal of Mathematics 10, 109–126.

    Google Scholar 

  • Dudley, R. M.: 1966b, ‘Convergence of Baire Measures’, Studia Mathematica 27, 251–268.

    Google Scholar 

  • Dunford, N. and Schwartz, J. T.: 1958, Linear Operators Part I: General Theory, Interscience, New York.

    Google Scholar 

  • Grossman, S. J. and Stiglitz, J. E.: 1980, ‘On the Impossibility of Informationally Efficient Markets’, American Economic Review 70, 393–408.

    Google Scholar 

  • Hart, S., Hildenbrand, W. and Kohlberg, E.: 1974, ‘On Equilibrium Allocations as Distributions on the Commodity Space’, Journal of Mathematical Economics 1, 159–166.

    Google Scholar 

  • Hart, S. and Kohlberg, E.: 1974, ‘Equally Distributed Correspondences’, Journal of Mathematical Economics 1, 167–174.

    Google Scholar 

  • Hellwig, M. F.: 1982, ‘Rational Expectations Equilibria with Conditioning on Past Prices: A Mean-Variance Example’, Journal of Economic Theory 26, 279–312.

    Google Scholar 

  • Hildenbrand, W.: 1974, Core and Equilibria of a Large Economy, Princeton University Press.

  • Hildenbrand, W.: 1975, ‘Distributions of Agents' Characteristics’, Journal of Mathematical Economics 2, 129–138.

    Google Scholar 

  • Marczewski, E. and Sikorski, R.: 1948, ‘Measures in Nonseparable Metric Spaces’, Coll. Math. 1, 133–139.

    Google Scholar 

  • Mas-Colell, A.: 1975, ‘A Model of Equilibrium with Differentiated Commodities’, Journal of Mathematical Economics 2, 263–295.

    Google Scholar 

  • Neveu, J.: 1965, Mathematical Foundations of the Calculus of Probability (translated by Amiel Feinstein), Holden-Day, San Francisco.

    Google Scholar 

  • Rudin, W.: 1973, Functional Analysis, McGraw-Hill, New York.

    Google Scholar 

  • Schwartz, L.: 1973, Radon Measures on Arbitrary Topological Spaces and Cylindrical Measures, Oxford University Press.

  • Shepherdson, J. C.: 1952, ‘Inner Models for Set Theory (II)’, Journal of Symbolic Logic 17, 225–237.

    Google Scholar 

  • Ulam, S.: 1930, ‘Zur Masstheorie in der allgemeinen Mengenlehre’, Fund. Math. 16, 140–150.

    Google Scholar 

  • Verrecchia, R. E.: 1982, ‘Information Acquisition in a Noisy Rational Expectations Economy’, Econometrica 50, 1415–1430.

    Google Scholar 

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Allen, B. General equilibrium with information sales. Theor Decis 21, 1–33 (1986). https://doi.org/10.1007/BF00134168

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