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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.

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Bibliographic Info

Paper provided by Iowa State University, Department of Economics in its series Staff General Research Papers with number 5168.

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Date of creation: 01 Nov 2000
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Publication status: Published in Journal of Economic Theory, November 2000, vol. 95 no. 1, pp. 79-106
Handle: RePEc:isu:genres:5168

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Postal: Iowa State University, Dept. of Economics, 260 Heady Hall, Ames, IA 50011-1070
Phone: +1 515.294.6741
Fax: +1 515.294.0221
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Web page: http://www.econ.iastate.edu
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References

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  1. Nir Dagan & Roberto Serrano & Oscar Volij, 1996. "Bargaining, Coalitions, and Competition," Economic theory and game theory 003, Oscar Volij, revised Jul 1998.
  2. Schmeidler, David, 1980. "Walrasian Analysis via Strategic Outcome Functions," Econometrica, Econometric Society, vol. 48(7), pages 1585-93, November.
  3. Schmeidler, David & Vind, Karl, 1972. "Fair Net Trades," Econometrica, Econometric Society, vol. 40(4), pages 637-42, July.
  4. Nir Dagan, 1994. "Recontracting and competition," Economics Working Papers 152, Department of Economics and Business, Universitat Pompeu Fabra, revised Jan 1996.
  5. Robert J Aumann, 1999. "Agreeing to Disagree," Levine's Working Paper Archive 512, David K. Levine.
  6. Gale, Douglas M, 1986. "Bargaining and Competition Part I: Characterization," Econometrica, Econometric Society, vol. 54(4), pages 785-806, July.
  7. Dubey, Pradeep & Mas-Colell, Andreau & Shubik, Martin, 1980. "Efficiency properties of strategies market games: An axiomatic approach," Journal of Economic Theory, Elsevier, vol. 22(2), pages 339-362, April.
  8. Dubey, Pradeep, 1982. "Price-Quantity Strategic Market Games," Econometrica, Econometric Society, vol. 50(1), pages 111-26, January.
  9. Monderer, Dov & Samet, Dov, 1989. "Approximating common knowledge with common beliefs," Games and Economic Behavior, Elsevier, vol. 1(2), pages 170-190, June.
  10. McLennan, Andrew & Sonnenschein, Hugo, 1991. "Sequential Bargaining as a Noncooperative Foundation for Walrasian Equilibrium," Econometrica, Econometric Society, vol. 59(5), pages 1395-1424, September.
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Citations

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Cited by:
  1. Julio Davila & Jan Eeckhout, 2004. "Competitive Bargaining Equilibria," Cahiers de la Maison des Sciences Economiques b04067, Université Panthéon-Sorbonne (Paris 1).
  2. 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.
  3. M. Ali Khan, 2007. "Perfect Competition," PIDE-Working Papers 2007:15, Pakistan Institute of Development Economics.
  4. Muhamet Yildiz, 2002. "Walrasian Bargaining," Theory workshop papers 505798000000000003, UCLA Department of Economics.
  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. Khan, M. Ali Khan, 2007. "Perfect Competition," MPRA Paper 2202, University Library of Munich, Germany.
  7. 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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