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Fixed Points And Economic Equilibria:

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  • Ken Urai

    (Osaka University, Japan)

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    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.

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

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    This book is provided by World Scientific Publishing Co. Pte. Ltd. in its series World Scientific Books with number 7117 and published in 2010.

    Volume: 5
    ISBN: 9789812837189
    Handle: RePEc:wsi:wsbook:7117

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    Web page: http://ebooks.worldscinet.com/

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    Related research

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

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