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some economic applications of scott domains

Author

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  • spyros vassilakis

Abstract

The present paper is structured around two main constructions, fixed points of functors and fibrations and sections of functors. Fixed points of functors are utilized to resolve problems of infinite regress that have recently appeared in economics. Fibrations and sections are utilized to model solution concepts abstractly, so that we can solve equations whose arguments are solution concepts. Most of the objects (games, solution concepts) that we consider can be obtained as some kind of limit of their finite subobjects. Some of the constructions preserve computability. The paper relies heavily on recent work on the semantics of program- ming languages.

Suggested Citation

  • spyros vassilakis, 2002. "some economic applications of scott domains," Game Theory and Information 0207002, University Library of Munich, Germany.
    • Handle: RePEc:wpa:wuwpga:0207002
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    References listed on IDEAS

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    1. Lipman, Barton L, 1991. "How to Decide How to Decide How to. . . : Modeling Limited Rationality," Econometrica, Econometric Society, vol. 59(4), pages 1105-1125, July.
    2. Vassilakis, Spyros, 1992. "Some economic applications of Scott domains," Mathematical Social Sciences, Elsevier, vol. 24(2-3), pages 173-208, November.
    3. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-1277, November.
    4. Crawford, Vincent P, 1985. "Efficient and Durable Decision Rules: A Reformulation," Econometrica, Econometric Society, vol. 53(4), pages 817-835, July.
    5. Vassilakis, S., 1991. "Rules for Changing the Rules," Papers 32, Stanford - Institute for Thoretical Economics.
    6. Lewis, Alain A., 1992. "On turing degrees of Walrasian models and a general impossibility result in the theory of decision-making," Mathematical Social Sciences, Elsevier, vol. 24(2-3), pages 141-171, November.
    7. Riker, William H., 1980. "Implications from the Disequilibrium of Majority Rule for the Study of Institutions," American Political Science Review, Cambridge University Press, vol. 74(2), pages 432-446, June.
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    2. Becker, Robert A. & Rincón-Zapatero, Juan Pablo, 2021. "Thompson aggregators, Scott continuous Koopmans operators, and Least Fixed Point theory," Mathematical Social Sciences, Elsevier, vol. 112(C), pages 84-97.
    3. Pierfrancesco Guarino, 2025. "Topology-free type structures with conditioning events," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 79(4), pages 1107-1166, June.
    4. Takashi Kamihigashi & Kevin Reffett & Masayuki Yao, 2014. "An Application of Kleene's Fixed Point Theorem to Dynamic Programming: A Note," Discussion Paper Series DP2014-24, Research Institute for Economics & Business Administration, Kobe University, revised Jul 2014.
    5. Robert Becker & Juan Pablo Rincon-Zapatero, 2018. "Recursive Utility and Thompson Aggregators, I: Constructive Existence Theory for the Koopmans Equation," CAEPR Working Papers 2018-006, Center for Applied Economics and Policy Research, Department of Economics, Indiana University Bloomington.
    6. Uuganbaatar Ninjbat, 2018. "Impossibility theorems with countably many individuals," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 9(3), pages 333-350, August.
    7. Stelios Arvanitis, 2025. "Universal Choice Spaces and Expected Utility: A Banach-type Functorial Fixed Point," Working Paper 1534, Economics Department, Queen's University.
    8. Marcus Pivato, 2025. "Polyvalent decision theory," Working Papers hal-05415427, HAL.
    9. Vassilakis, Spyros, 1992. "Some economic applications of Scott domains," Mathematical Social Sciences, Elsevier, vol. 24(2-3), pages 173-208, November.
    10. Epstein, Larry G. & Peters, Michael, 1999. "A Revelation Principle for Competing Mechanisms," Journal of Economic Theory, Elsevier, vol. 88(1), pages 119-160, September.

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    JEL classification:

    • L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms
    • C81 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Methodology for Collecting, Estimating, and Organizing Microeconomic Data; Data Access
    • F49 - International Economics - - Macroeconomic Aspects of International Trade and Finance - - - Other
    • R38 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Real Estate Markets, Spatial Production Analysis, and Firm Location - - - Government Policy

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