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some economic applications of scott domains

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spyros vassilakis

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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.

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File URL: http://129.3.20.41/eps/game/papers/0207/0207002.pdf
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Paper provided by EconWPA in its series Game Theory and Information with number 0207002.

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Date of creation: 12 Jul 2002
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Handle: RePEc:wpa:wuwpga:0207002

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Web page: http://129.3.20.41

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Related research
Keywords: scott domains; infinite regress; game theory;

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Find related papers by 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 - - - Microeconomic Data
F49 - International Economics - - Macroeconomic Aspects of International Trade and Finance - - - Other
R38 - Urban, Rural, and Regional Economics - - Production Analysis and Firm Location - - - Government Policies; Regulatory Policies

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-77, November. [Downloadable!] (restricted)
  2. Crawford, Vincent P, 1985. "Efficient and Durable Decision Rules: A Reformulation," Econometrica, Econometric Society, vol. 53(4), pages 817-35, July. [Downloadable!] (restricted)
  3. Lipman, Barton L, 1991. "How to Decide How to Decide How to. . . : Modeling Limited Rationality," Econometrica, Econometric Society, vol. 59(4), pages 1105-25, July. [Downloadable!] (restricted)
  4. spyros vassilakis, 2002. "rules for changing the rules," Game Theory and Information 0211006, EconWPA. [Downloadable!]
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  5. 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. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Larry Epstein & Michael Peters, 1996. "A Revelation Principle For Competing Mechanisms," Working Papers peters-96-02, University of Toronto, Department of Economics. [Downloadable!]
    Other versions:
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