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.
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- 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.
- Snyder, Susan K., 1999. "Testable restrictions of Pareto optimal public good provision," Journal of Public Economics, Elsevier, vol. 71(1), pages 97-119, January.
- Daniel Kahneman & Jack L. Knetsch & Richard H. Thaler, 1991. "Anomalies: The Endowment Effect, Loss Aversion, and Status Quo Bias," Journal of Economic Perspectives, American Economic Association, vol. 5(1), pages 193-206, Winter.
- Herbert E. Scarf, 1967. "On the Computation of Equilibrium Prices," Cowles Foundation Discussion Papers 232, Cowles Foundation for Research in Economics, Yale University.
- John List, 2004.
"Neoclassical theory versus prospect theory: Evidence from the marketplace,"
Framed Field Experiments
00174, The Field Experiments Website.
- John A. List, 2004. "Neoclassical Theory Versus Prospect Theory: Evidence from the Marketplace," Econometrica, Econometric Society, vol. 72(2), pages 615-625, 03.
- John A. List, 2003. "Neoclassical Theory Versus Prospect Theory: Evidence from the Marketplace," NBER Working Papers 9736, National Bureau of Economic Research, Inc.
- 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.
- Balasko, Yves, 1975. "The Graph of the Walras Correspondence," Econometrica, Econometric Society, vol. 43(5-6), pages 907-12, Sept.-Nov.
- Amos Tversky & Daniel Kahneman, 1979.
"Prospect Theory: An Analysis of Decision under Risk,"
Levine's Working Paper Archive
7656, David K. Levine.
- Kahneman, Daniel & Tversky, Amos, 1979. "Prospect Theory: An Analysis of Decision under Risk," Econometrica, Econometric Society, vol. 47(2), pages 263-91, March.
- Munro, Alistair & Sugden, Robert, 2003. "On the theory of reference-dependent preferences," Journal of Economic Behavior & Organization, Elsevier, vol. 50(4), pages 407-428, April.
- Kahneman, Daniel & Knetsch, Jack L & Thaler, Richard H, 1990. "Experimental Tests of the Endowment Effect and the Coase Theorem," Journal of Political Economy, University of Chicago Press, vol. 98(6), pages 1325-48, December.
- 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.
- 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.
- 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.
- Kubler, Felix, 2003. "Observable restrictions of general equilibrium models with financial markets," Journal of Economic Theory, Elsevier, vol. 110(1), pages 137-153, May.
- Debreu, Gerard, 1970. "Economies with a Finite Set of Equilibria," Econometrica, Econometric Society, vol. 38(3), pages 387-92, May.
- Knetsch, Jack L, 1989. "The Endowment Effect and Evidence of Nonreversible Indifference Curves," American Economic Review, American Economic Association, vol. 79(5), pages 1277-84, December.
- Debreu, Gerard, 1974. "Excess demand functions," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 15-21, March.
- 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.
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