Is there a Walrasian Equilibrium in Exchange Markets with Endowment Effect?
We provide an axiomatic framework for exchange markets with a willingnessto- pay/willingness-to-accept discrepancy. First, we obtain a two parameter family of market invariants under price-scaling representing the excess demand. One of the parameters can be identified as endowment. The other is a new feature, called demand-supply gap, that leads to classical general equilibrium if zero. Second, we provide representations of price and demand as unbounded operators on an infinite dimensional Hilbert space. We prove that neither can this space be finite dimensional nor can these operators be bounded.Third, if the demand-supply gap is not zero we obtain that price and demand are not simultaneously sharply measurable and consequently a Walrasian equilibrium does not exist.
|Date of creation:||Jan 2009|
|Contact details of provider:|| Postal: Hohenzollernstraße 1-3, 45128 Essen|
Web page: http://www.rwi-essen.de/
More information through EDIRC
|Order Information:||Web: http://www.rwi-essen.de/publikationen/|
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Kahneman, Daniel & Tversky, Amos, 1979.
"Prospect Theory: An Analysis of Decision under Risk,"
Econometric Society, vol. 47(2), pages 263-91, March.
- Amos Tversky & Daniel Kahneman, 1979. "Prospect Theory: An Analysis of Decision under Risk," Levine's Working Paper Archive 7656, David K. Levine.
- Momi, Takeshi, 2001. "Non-existence of equilibrium in an incomplete stock market economy," Journal of Mathematical Economics, Elsevier, vol. 35(1), pages 41-70, February.
- Horowitz, John K. & McConnell, Kenneth E., 2002. "A Review of WTA/WTP Studies," Journal of Environmental Economics and Management, Elsevier, vol. 44(3), pages 426-447, November.
- John A. List, 2003.
"Neoclassical Theory Versus Prospect Theory: Evidence from the Marketplace,"
NBER Working Papers
9736, National Bureau of Economic Research, Inc.
- John A. List, 2004. "Neoclassical Theory Versus Prospect Theory: Evidence from the Marketplace," Econometrica, Econometric Society, vol. 72(2), pages 615-625, 03.
- John List, 2004. "Neoclassical theory versus prospect theory: Evidence from the marketplace," Framed Field Experiments 00174, The Field Experiments Website.
- Vernon L. Smith, 1962.
"An Experimental Study of Competitive Market Behavior,"
Journal of Political Economy,
University of Chicago Press, vol. 70, pages 111-111.
- Vernon L. Smith, 1962. "An Experimental Study of Competitive Market Behavior," Journal of Political Economy, University of Chicago Press, vol. 70, pages 322-322.
- Carvajal, Andres & Ray, Indrajit & Snyder, Susan, 2004. "Equilibrium behavior in markets and games: testable restrictions and identification," Journal of Mathematical Economics, Elsevier, vol. 40(1-2), pages 1-40, February.
- Mantel, Rolf R., 1974. "On the characterization of aggregate excess demand," Journal of Economic Theory, Elsevier, vol. 7(3), pages 348-353, March.
- Chiappori, P. -A. & Ekeland, I. & Kubler, F. & Polemarchakis, H. M., 2004.
"Testable implications of general equilibrium theory: a differentiable approach,"
Journal of Mathematical Economics,
Elsevier, vol. 40(1-2), pages 105-119, February.
- P.A. Chiappori & I. Ekeland & F. Kubler & H.M. Polemarchakis, 2002. "Testable Implications of General Equilibrium Theory: a differentiable approach," Working Papers 2002-10, Brown University, Department of Economics.
- Andrés Carvajal, 2003.
"Testable Restrictions On The Equilibrium Manifold Under Random Preferences,"
BORRADORES DE ECONOMIA
001899, BANCO DE LA REPÚBLICA.
- Carvajal, Andres, 2004. "Testable restrictions on the equilibrium manifold under random preferences," Journal of Mathematical Economics, Elsevier, vol. 40(1-2), pages 121-143, February.
- Andrés Carvajal, . "Testable Restrictions on the Equilibrium Manifold under Random Preferences," Borradores de Economia 233, Banco de la Republica de Colombia.
- Debreu, Gerard, 1970.
"Economies with a Finite Set of Equilibria,"
Econometric Society, vol. 38(3), pages 387-92, May.
- Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680, December.
- Sonnenschein, Hugo, 1973. "Do Walras' identity and continuity characterize the class of community excess demand functions?," Journal of Economic Theory, Elsevier, vol. 6(4), pages 345-354, August.
- Ian Bateman & Alistair Munro & Bruce Rhodes & Chris Starmer & Robert Sugden, 1997. "A Test of the Theory of Reference-Dependent Preferences," The Quarterly Journal of Economics, Oxford University Press, vol. 112(2), pages 479-505.
- Kirman, Alan, 1989. "The Intrinsic Limits of Modern Economic Theory: The Emperor Has No Clothes," Economic Journal, Royal Economic Society, vol. 99(395), pages 126-39, Supplemen.
- Hart, Oliver D., 1975. "On the optimality of equilibrium when the market structure is incomplete," Journal of Economic Theory, Elsevier, vol. 11(3), pages 418-443, December.
- Kubler, Felix, 2003. "Observable restrictions of general equilibrium models with financial markets," Journal of Economic Theory, Elsevier, vol. 110(1), pages 137-153, May.
When requesting a correction, please mention this item's handle: RePEc:rwi:repape:0082. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Sabine Weiler)
If references are entirely missing, you can add them using this form.