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Some preliminary remarks on the relevance of topological essentiality in general equilibrium theory and game theory

Author

Listed:
  • Stefano Demichelis
  • Jean-Jacques Herings
  • Dries Vermeulen

Abstract

We define an algebro-topological concept of essential map and we use it to prove several results in the theory of general equilibrium and nash equilibrium refinement.

Suggested Citation

  • Stefano Demichelis & Jean-Jacques Herings & Dries Vermeulen, 2008. "Some preliminary remarks on the relevance of topological essentiality in general equilibrium theory and game theory," Carlo Alberto Notebooks 94, Collegio Carlo Alberto.
  • Handle: RePEc:cca:wpaper:94
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    File URL: http://www.carloalberto.org/assets/working-papers/no.94.pdf
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    Keywords

    fixed point theory; game theory; equilibrium theory; stability of Nash equilibrium; multiplicity of equilibria;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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