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Whitney topology and spaces of preference relations

Author

Listed:
  • Michael Zarichnyi

    (University of Rzeszow, Lviv National University)

  • Oleksandra Hubal

    (Lviv National University)

Abstract

The strong Whitney topology on the sets of maps of smooth manifolds induces a topology on the set of preferences in euclidean space. We prove that the obtained space is not connected which implies that there is no continuous social choice function defined on a finite power of this space. We also show that the obtained space is not normal.

Suggested Citation

  • Michael Zarichnyi & Oleksandra Hubal, 2005. "Whitney topology and spaces of preference relations," Economics Bulletin, AccessEcon, vol. 3(4), pages 1-7.
    • Handle: RePEc:ebl:ecbull:eb-04c00003
    as

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    References listed on IDEAS

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    1. Mas-Colell,Andreu, 1990. "The Theory of General Economic Equilibrium," Cambridge Books, Cambridge University Press, number 9780521388702, November.
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    JEL classification:

    • C0 - Mathematical and Quantitative Methods - - General
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium

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