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Fixed Points And Economic Equilibria:

Author

Listed:
  • Ken Urai

    (Osaka University, Japan)

Abstract

This book presents a systematic approach to problems in economic equilibrium based on fixed-point arguments and rigorous set-theoretical (axiomatic) methods. It describes the highest-level research on the classical theme, fixed points and economic equilibria, in the theory of mathematical economics, and also presents basic results in this area, especially in the general equilibrium theory and non-co-operative game theory. The arguments also contain distinguishable developments of the main theme in the homology theory for general topological spaces, in the model theory and mathematical logic, and in the methodology and philosophy of social sciences. It can thus serve as a graduate-level textbook on mathematical economics as well as an advanced monograph for students and researchers who are concerned about rigorous mathematical treatment in the social sciences.

Suggested Citation

  • Ken Urai, 2010. "Fixed Points And Economic Equilibria:," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., volume 5, number 7117, March.
  • Handle: RePEc:wsi:wsbook:7117
    as

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    File URL: http://www.worldscientific.com/worldscibooks/10.1142/7117
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    Citations

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    Cited by:

    1. Takao Fujimoto, 2013. "Fixed Point Theorems for Discontinuous Maps on a Non-convex Domain," Metroeconomica, Wiley Blackwell, vol. 64(3), pages 547-572, July.

    More about this item

    Keywords

    Fixed Point Theory; General Equilibrium Theory; Nash Equilibrium; Algebraic Topology; Homology Theory; Mathematical Logic; Model Theory; Economic Rationality; Methodology; Economics and Ethics;

    JEL classification:

    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory

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