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Some consequences of the unknottedness of the Walras correspondence

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  • DEMICHELIS , Stefano
  • GERMANO, Fabrizio

Abstract

Two basic properties concerning the dynamic behavior of competitive equilibria of exchange economies with complete markets are derived essentially from the fact that the Walras correspondence has no knots.
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Suggested Citation

  • DEMICHELIS , Stefano & GERMANO, Fabrizio, 2000. "Some consequences of the unknottedness of the Walras correspondence," LIDAM Reprints CORE 1539, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvrp:1539
    DOI: 10.1016/S0304-4068(00)00045-8
    Note: In : Journal of Mathematical Economics, 34, 537-545, 2000.
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    Cited by:

    1. Bich, Philippe & Fixary, Julien, 2022. "Network formation and pairwise stability: A new oddness theorem," Journal of Mathematical Economics, Elsevier, vol. 103(C).
    2. Loi, Andrea & Matta, Stefano & Uccheddu, Daria, 2023. "Equilibrium selection under changes in endowments: A geometric approach," Journal of Mathematical Economics, Elsevier, vol. 108(C).
    3. Loi, Andrea & Matta, Stefano, 2021. "Minimal entropy and uniqueness of price equilibria in a pure exchange economy," Journal of Mathematical Economics, Elsevier, vol. 97(C).
    4. Andrea Loi & Stefano Matta & Daria Uccheddu, 2022. "Equilibrium selection: a geometric approach," Papers 2208.10860, arXiv.org.
    5. Fixary, Julien, 2025. "Unknottedness of graphs of pairwise stable networks & network dynamics," Journal of Mathematical Economics, Elsevier, vol. 120(C).
    6. Predtetchinski, Arkadi, 2009. "A general structure theorem for the Nash equilibrium correspondence," Games and Economic Behavior, Elsevier, vol. 66(2), pages 950-958, July.
    7. Demichelis, Stefano & Germano, Fabrizio, 2002. "On (un)knots and dynamics in games," Games and Economic Behavior, Elsevier, vol. 41(1), pages 46-60, October.

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