Consistent Solutions in Exchange Economies: a Characterization of the Price Mechanism
We characterize the Walrasian allocations correspondence by means of four axioms: consistency, replica invariance, individual rationality and Pareto optimality. It is shown that for any given class of exchange economies any solution that satisfies the axioms is a selection from the Walrasian allocations with slack. Preferences are assumed to be smooth, but may be satiated and non-convex. A class of economies is defined as all economies whose agents' preferences belong to an arbitrary family (finite or infinite) of types. The result can be modified to characterize equal budget Walrasian allocations with slack by replacing individual rationality with individual rationality from equal division. The results are valid also for classes of economies in which core--Walras equivalence does not hold.
|Date of creation:||Nov 1995|
|Date of revision:|
|Contact details of provider:|| Postal: Nir Dagan, Dept. of Economics and Management, Tel-Hai Academic College, Upper Galilee, Israel.|
Web page: http://www.nirdagan.com/research/
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- Thomson, William & Zhou, Lin, 1993. "Consistent Solutions in Atomless Economies," Econometrica, Econometric Society, vol. 61(3), pages 575-87, May.
- Champsaur, Paul & Laroque, Guy, 1981. "Fair allocations in large economies," Journal of Economic Theory, Elsevier, vol. 25(2), pages 269-282, October.
- Hart, Sergiu & Mas-Colell, Andreu, 1989. "Potential, Value, and Consistency," Econometrica, Econometric Society, vol. 57(3), pages 589-614, May.
- Nir Dagan, 1996.
"A Note on Thomson's Characterizations of the Uniform Rule,"
Economic theory and game theory
003, Nir Dagan.
- Dagan, Nir, 1996. "A Note on Thomson's Characterizations of the Uniform Rule," Journal of Economic Theory, Elsevier, vol. 69(1), pages 255-261, April.
- Thomson, William, 1988. "A study of choice correspondences in economies with a variable number of agents," Journal of Economic Theory, Elsevier, vol. 46(2), pages 237-254, December.
- Lensberg, Terje, 1988. "Stability and the Nash solution," Journal of Economic Theory, Elsevier, vol. 45(2), pages 330-341, August.
- 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.
- van den Nouweland, C.G.A.M. & Peleg, B. & Tijs, S.H., 1996. "Axiomatic characterizations of the Walras correspondence for generalized economies," Other publications TiSEM 6ac8c569-8178-4176-9ecf-0, Tilburg University, School of Economics and Management.
- van den Nouweland, C.G.A.M. & Peleg, B. & Tijs, S.H., 1994. "Axiomatic characterizations of the Walras correspondence for generalized economies," Discussion Paper 1994-58, Tilburg University, Center for Economic Research.
- Peleg, Bezalel, 1985. "An axiomatization of the core of cooperative games without side payments," Journal of Mathematical Economics, Elsevier, vol. 14(2), pages 203-214, April.
- Thomson William, 1994. "Consistent Solutions to the Problem of Fair Division When Preferences Are Single-Peaked," Journal of Economic Theory, Elsevier, vol. 63(2), pages 219-245, August.
- Bettina Klaus & Hans Peters & Ton Storcken, 1997.
"Reallocation of an infinitely divisible good,"
Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(2), pages 305-333.
- Peleg, B, 1986. "On the Reduced Game Property and Its Converse," International Journal of Game Theory, Springer;Game Theory Society, vol. 15(3), pages 187-200.
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