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Consistency and the Walrasian allocations correspondence

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  • Nir Dagan

Abstract

We characterize the Walrasian allocations correspondence, in classes of exchange economies with smooth and convex preferences, by means of consistency requirements and other axioms. We present three characterization results; all of which require consistency, converse consistency and standard axioms. Two characterizations hold also on domains with a finite number of potential agents, one of them requires envy freeness (with respect to trades) and the other--core selection; a third characterization, that requires core selection, applies only to a variable number of agents domain, but is valid also when the domain includes only a small variety of preferences.

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  • Nir Dagan, 1996. "Consistency and the Walrasian allocations correspondence," Economics Working Papers 151, Department of Economics and Business, Universitat Pompeu Fabra.
    • Handle: RePEc:upf:upfgen:151
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    1. Mas-Colell,Andreu, 1990. "The Theory of General Economic Equilibrium," Cambridge Books, Cambridge University Press, number 9780521388702, September.
    2. van den Nouweland, A. & Peleg, B. & Tijs, S., 1996. "Axiomatic characterizations of the Walras correspondence for generalized economies," Journal of Mathematical Economics, Elsevier, vol. 25(3), pages 355-372.
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    1. Thomson, William, 2011. "Chapter Twenty-One - Fair Allocation Rules," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 2, chapter 21, pages 393-506, Elsevier.
    2. Schummer, James & Thomson, William, 1997. "Two derivations of the uniform rule and an application to bankruptcy," Economics Letters, Elsevier, vol. 55(3), pages 333-337, September.

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