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Recontracting and Competition

We characterize the set of Walrasian allocations of an economy as the set of allocations which can be supported by abstract equilibria that satisfy a recontracting condition which reflects the idea that agents can freely trade with each other. An alternative (and weaker) recontracting condition characterizes the core. The results are extended to production economies by extending the definition of the recontracting condition to include the possibility of agents to recontract with firms. However, no optimization requirement is imposed on firms. In pure exchange economies, an abstract equilibrium is a feasible allocation and a list of choice sets, one for each agent, that satisfy the following conditions: an agent's choice set is a subset of the commodity space that includes his endowment; and each agent's equilibrium bundle is a maximal element in his choice set, with respect to his preferences. The recontracting condition requires that any agent can buy bundles from any other agent's choice set by ofering the other agent a bundle he prefers to his equilibrium bundle.

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Paper provided by Nir Dagan in its series Economic theory and game theory with number 013.

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Length: 30 pages
Date of creation: Jan 1996
Date of revision: Jun 1996
Handle: RePEc:nid:ndagan:013
Contact details of provider: Postal: Nir Dagan, Dept. of Economics and Management, Tel-Hai Academic College, Upper Galilee, Israel.
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  1. Bosch, A. & Sunder, S., 1994. "Tracking the Invisible Hand: Convergence of Double Auctions to Competitive Equilibrium," GSIA Working Papers 1994-11, Carnegie Mellon University, Tepper School of Business.
  2. Sala-i-Martin, Xavier X, 1996. " A Positive Theory of Social Security," Journal of Economic Growth, Springer, vol. 1(2), pages 2a77-304, June.
  3. Thierry Foucault, 1994. "Price formation and order placement strategies in a dynamic order driven market," Economics Working Papers 99, Department of Economics and Business, Universitat Pompeu Fabra.
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