Competitive equilibria with consumption possibility depending on endowments : a global analysis
In the spirit of Smale's work, we consider a pure exchange economy with general consumption sets. We consider the case in which the consumption set of each household is described in terms of an inequality on a function called possibility function. The possibility function represents the restricted consumption possibility on commodity markets. The main innovation comes from the dependency of the possibility function with respect to the individual initial endowment. We prove that, generically, equilibria are finite and they locally depend on the initial endowments in a smooth manner.
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- Polemarchakis, H. M. & Siconolfi, P., 1997.
"Generic existence of competitive equilibria with restricted participation,"
Journal of Mathematical Economics,
Elsevier, vol. 28(3), pages 289-311, October.
- Polemarchakis, H. & Siconolfi, P., . "Generic existence of competitive equilibria with restricted participation," CORE Discussion Papers RP 1282, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Mas-Colell,Andreu, 1990.
"The Theory of General Economic Equilibrium,"
Cambridge University Press, number 9780521388702, 1.
- Cass, David & Siconolfi, Paolo & Villanacci, Antonio, 2001. "Generic regularity of competitive equilibria with restricted participation," Journal of Mathematical Economics, Elsevier, vol. 36(1), pages 61-76, September.
- Jean-Marc Bonnisseau & Jorge Rivera Cayupi, 2003.
"The equilibrium manifold with boundary constraints on the consumption sets,"
Estudios de Economia,
University of Chile, Department of Economics, vol. 30(2 Year 20), pages 225-240, December.
- Jean-Marc Bonnisseau & Jorge Rivera Cayupi, 2002. "The equilibrium manifold with Boundary constraints on the Consumption sets," Working Papers wp196, University of Chile, Department of Economics.
- Debreu, Gerard, 1970.
"Economies with a Finite Set of Equilibria,"
Econometric Society, vol. 38(3), pages 387-92, May.
- Smale, S., 1974. "Global analysis and economics IV : Finiteness and stability of equilibria with general consumption sets and production," Journal of Mathematical Economics, Elsevier, vol. 1(2), pages 119-127, August.
- Smale, S., 1974. "Global analysis and economics IIA : Extension of a theorem of Debreu," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 1-14, March.
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