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Walrasian Allocations Without Price-Taking Behavior

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  • Volij, Oscar
  • Serrano, Roberto

Abstract

Consider an exchange economy where agents are arbitragers, in that they try to upset allocations imagining plausible beneficial trades. With an introspective algorithm, each agent constructs an interactive choice set (ICS), i.e., a set of bundles that he considers achievable through a sequence of plausible trades with other agents. We show that Walrasian allocations can be characterized as those where each agent chooses optimally from his ICS, which is always contained in a budget set (with differentiability, both sets coincide). Our analysis provides a different behavioral assumption underlying Walrasian allocations, offers an explanation for the source of competitive prices, and connects with the core convergence theorem.

Suggested Citation

  • Volij, Oscar & Serrano, Roberto, 2000. "Walrasian Allocations Without Price-Taking Behavior," Staff General Research Papers Archive 5168, Iowa State University, Department of Economics.
    • Handle: RePEc:isu:genres:5168
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    Cited by:

    1. M. Ali Khan, 2007. "Perfect Competition," PIDE-Working Papers 2007:15, Pakistan Institute of Development Economics.
    2. Dávila, J. & Eeckhout, J., 2008. "Competitive bargaining equilibrium," Journal of Economic Theory, Elsevier, vol. 139(1), pages 269-294, March.
    3. Segal, Ilya, 2007. "The communication requirements of social choice rules and supporting budget sets," Journal of Economic Theory, Elsevier, vol. 136(1), pages 341-378, September.
    4. Yildiz, Muhamet, 2003. "Walrasian bargaining," Games and Economic Behavior, Elsevier, vol. 45(2), pages 465-487, November.
    5. Zigrand, Jean-Pierre, 2006. "Endogenous market integration, manipulation and limits to arbitrage," Journal of Mathematical Economics, Elsevier, vol. 42(3), pages 301-314, June.
    6. Ilya Segal, 2004. "The Communication Requirements of of Social Choice Rules and Supporting Budget Sets," Economics Working Papers 0039, Institute for Advanced Study, School of Social Science.

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