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Inconsequential arbitrage

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  • PageJr., Frank H.
  • Wooders, Myrna H.
  • Monteiro, Paulo K.

Abstract

We introduce the concept of inconsequential arbitrage and, in the context of a model allowing short-sales and half-lines in indifference surfaces, we prove that inconsequential arbitrage is sufficient for existence of equilibrium. With a slightly stronger condition of local nonsatiation than required for existence of equilibrium and with a mild uniformity condition on arbitrage opportunities, we show that the existence of a pareto-optimal allocation implies inconsequential arbitrage, implying that inconsequential arbitrage is necessary and sufficient for existence of an equilibrium.
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Suggested Citation

  • PageJr., Frank H. & Wooders, Myrna H. & Monteiro, Paulo K., 2000. "Inconsequential arbitrage," Journal of Mathematical Economics, Elsevier, vol. 34(4), pages 439-469, December.
  • Handle: RePEc:eee:mateco:v:34:y:2000:i:4:p:439-469
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    5. PageJr., Frank H. & Wooders, Myrna H. & Monteiro, Paulo K., 2000. "Inconsequential arbitrage," Journal of Mathematical Economics, Elsevier, vol. 34(4), pages 439-469, December.
    6. Frank H. Page Jr. & (**), Myrna H. Wooders & Paulo K. Monteiro, 1999. "Arbitrage and global cones: Another counterexample," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(2), pages 337-346.
    7. Page, F.H.Jr. & Wooders, M.H., 1994. "Arbitrage in Markets with Unbounded Short Sales: Necessary and Sufficient Conditions for Nonemptiness of the Core and Existence of Equilibrium," UFAE and IAE Working Papers 271.94, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
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    More about this item

    JEL classification:

    • J51 - Labor and Demographic Economics - - Labor-Management Relations, Trade Unions, and Collective Bargaining - - - Trade Unions: Objectives, Structure, and Effects
    • J52 - Labor and Demographic Economics - - Labor-Management Relations, Trade Unions, and Collective Bargaining - - - Dispute Resolution: Strikes, Arbitration, and Mediation

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