IDEAS home Printed from https://ideas.repec.org/p/wpa/wuwpga/0207002.html
   My bibliography  Save this paper

some economic applications of scott domains

Author

Listed:
  • 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
    Note: Type of Document -
    as

    Download full text from publisher

    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/game/papers/0207/0207002.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Vassilakis, S., 1991. "Rules for Changing the Rules," Papers 32, Stanford - Institute for Thoretical Economics.
    2. Vassilakis, Spyros, 1992. "Some economic applications of Scott domains," Mathematical Social Sciences, Elsevier, vol. 24(2-3), pages 173-208, November.
    3. 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.
    4. 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.
    5. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-1277, November.
    6. Crawford, Vincent P, 1985. "Efficient and Durable Decision Rules: A Reformulation," Econometrica, Econometric Society, vol. 53(4), pages 817-835, July.
    7. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Takashi Kamihigashi & Kevin Reffett & Masayuki Yao, 2014. "An Application of Kleene's Fixed Point Theorem to Dynamic Programming: A Note," Working Papers 2014-398, Department of Research, Ipag Business School.
    2. Vassilakis, Spyros, 1992. "Some economic applications of Scott domains," Mathematical Social Sciences, Elsevier, vol. 24(2-3), pages 173-208, November.
    3. Epstein, Larry G. & Peters, Michael, 1999. "A Revelation Principle for Competing Mechanisms," Journal of Economic Theory, Elsevier, vol. 88(1), pages 119-160, September.
    4. 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.
    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Xiao Luo & Xuewen Qian & Chen Qu, 2020. "Iterated elimination procedures," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(2), pages 437-465, September.
    2. Burkhard C. Schipper, 2022. "Strategic Teaching and Learning in Games," American Economic Journal: Microeconomics, American Economic Association, vol. 14(3), pages 321-352, August.
    3. Lagunoff, Roger, 1997. "On the dynamic selection of mechanisms for provision of public projects," Journal of Economic Dynamics and Control, Elsevier, vol. 21(10), pages 1699-1725, August.
    4. Epstein, Larry G. & Peters, Michael, 1999. "A Revelation Principle for Competing Mechanisms," Journal of Economic Theory, Elsevier, vol. 88(1), pages 119-160, September.
    5. Burkhard Schipper, 2015. "Strategic teaching and learning in games," Working Papers 151, University of California, Davis, Department of Economics.
    6. Bogetoft, Peter & Nielsen, Kurt, 2003. "Yardstick Based Procurement Design In Natural Resource Management," 2003 Annual Meeting, August 16-22, 2003, Durban, South Africa 25910, International Association of Agricultural Economists.
    7. Lau, Sau-Him Paul, 2001. "Aggregate Pattern of Time-dependent Adjustment Rules, II: Strategic Complementarity and Endogenous Nonsynchronization," Journal of Economic Theory, Elsevier, vol. 98(2), pages 199-231, June.
    8. V. Bhaskar & Caroline Thomas, 2019. "The Culture of Overconfidence," American Economic Review: Insights, American Economic Association, vol. 1(1), pages 95-110, June.
    9. Li, Fei & Song, Yangbo & Zhao, Mofei, 2023. "Global manipulation by local obfuscation," Journal of Economic Theory, Elsevier, vol. 207(C).
    10. Rabah Amir & Isabel Grilo, 2003. "On strategic complementarity conditions in Bertrand oligopoly," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 22(1), pages 227-232, August.
    11. Yuval Heller & Eyal Winter, 2020. "Biased-Belief Equilibrium," American Economic Journal: Microeconomics, American Economic Association, vol. 12(2), pages 1-40, May.
    12. Chanelle Duley & Prasanna Gai, 2020. "When the penny doesn't drop - Macroeconomic tail risk and currency crises," National Institute of Economic and Social Research (NIESR) Discussion Papers 520, National Institute of Economic and Social Research.
    13. Ali Hortacsu & Olivia R. Natan & Hayden Parsley & Timothy Schwieg & Kevin R. Williams, 2021. "Organizational Structure and Pricing: Evidence from a Large U.S. Airline," Cowles Foundation Discussion Papers 2312R, Cowles Foundation for Research in Economics, Yale University, revised Mar 2022.
    14. Light, Bar & Weintraub, Gabriel, 2018. "Mean Field Equilibrium: Uniqueness, Existence, and Comparative Statics," Research Papers 3731, Stanford University, Graduate School of Business.
    15. Philippe Jehiel, 2022. "Analogy-Based Expectation Equilibrium and Related Concepts:Theory, Applications, and Beyond," Working Papers halshs-03735680, HAL.
    16. Christian Ewerhart, 2020. "Ordinal potentials in smooth games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(4), pages 1069-1100, November.
    17. Echenique, Federico, 2004. "A characterization of strategic complementarities," Games and Economic Behavior, Elsevier, vol. 46(2), pages 325-347, February.
    18. Gabrielle Demange, 2009. "Information revelation in a security market: The impact of uncertain participation," Working Papers halshs-00575046, HAL.
    19. Kenneth Benoit & John W. Schiemann, 2001. "Institutional Choice in New Democracies," Journal of Theoretical Politics, , vol. 13(2), pages 153-182, April.
    20. Bergstrom, Theodore C & Stark, Oded, 1993. "How Altruism Can Prevail in an Evolutionary Environment," American Economic Review, American Economic Association, vol. 83(2), pages 149-155, May.

    More about this item

    Keywords

    scott domains; infinite regress; game theory;
    All these keywords.

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wpa:wuwpga:0207002. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: EconWPA (email available below). General contact details of provider: https://econwpa.ub.uni-muenchen.de .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.