On the completeness of complete markets
We reconsider the allocational invariance of equilibria to different formulations of market completeness. We identify the so-far neglected assumption of sophisticated behavior as crucial to this result. The paper studies three market structures. First, the Arrow-Debreu setting is considered. Second, sequentially complete markets are analyzed, where goods on the spot markets and all contingent one-period ahead commodities can be traded in every state. Finally, complete markets are analyzed, where all possible contingent commodities can be traded at every state. Preferences may be time-consistent or time-inconsistent. A distinction is made between naïve and sophisticated behavior. For economies with time-inconsistent preferences, Arrow-Debreu equilibria are not related to either sequentially complete equilibria or complete equilibria. It does hold that every equilibrium consumption that can be attained in sequentially complete markets, can also be attained in complete markets. An example shows that the converse is not true for naïve economies. Finally, when preferences are restricted to be time-consistent and households are sophisticated, the three market structures yield the same equilibrium consumption. Surprisingly, for naïve households, this result is not true, even when preferences are time-consistent.
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|Note:||In : Economic Theory, 37, 171-201, 2008|
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- Donaldson, John B. & Selden, Larry, 1981. "Arrow-Debreu preferences and the reopening of contingent claims markets," Economics Letters, Elsevier, vol. 8(3), pages 209-216.
- Loewenstein, George & O'Donoghue, Ted & Rabin, Matthew, 2002.
"Projection Bias in Predicting Future Utility,"
02-11, Cornell University, Center for Analytic Economics.
- Loewenstein, George & O'Donoghue, Ted & Rabin, Matthew, 2000. "Projection Bias in Predicting Future Utility," Department of Economics, Working Paper Series qt5qh6142m, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
- George Loewenstein, Ted O'Donoghue and Matthew Rabin., 2000. "Projection Bias in Predicting Future Utility," Economics Working Papers E00-284, University of California at Berkeley.
- George Loewenstein & Ted O'Donoghue & Matthew Rabin, 2001. "Projection Bias in Predicting Future Utility," General Economics and Teaching 0012003, EconWPA.
- P. Herings & Kirsten Rohde, 2006.
"Time-inconsistent preferences in a general equilibrium model,"
Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(3), pages 591-619, November.
- Herings Jean-Jacques & Rohde Kirsten I.M., 2004. "Time-inconsistent Preferences in a General Equilibrium Model," Research Memorandum 016, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
- Subir Chattopadhyay & Piero Gottardi, 1999.
"Stochastic OLG Models, Market Structure, and Optimality,"
99-12, Brown University, Department of Economics.
- Chattopadhyay, Subir & Gottardi, Piero, 1999. "Stochastic OLG Models, Market Structure, and Optimality," Journal of Economic Theory, Elsevier, vol. 89(1), pages 21-67, November.
- Piero Gottardi & Subir Chattopadhyay, 1999. "- Stochastic Olg Models, Market Structure And Optimality," Working Papers. Serie AD 1999-15, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- R. A. Pollak, 1968. "Consistent Planning," Review of Economic Studies, Oxford University Press, vol. 35(2), pages 201-208.
- Hellwig, Martin F., 1983. "A note on the implementation of rational expectations equilibria," Economics Letters, Elsevier, vol. 11(1-2), pages 1-8.
- Bergstrom, Theodore C., 1975. "Maximal elements of acyclic relations on compact sets," Journal of Economic Theory, Elsevier, vol. 10(3), pages 403-404, June.
- Erzo G. J. Luttmer & Thomas Mariotti, 2003. "Subjective Discounting in an Exchange Economy," Journal of Political Economy, University of Chicago Press, vol. 111(5), pages 959-989, October.
- DREZE, Jacques H. & HERINGS, Jean-Jacques P., .
"Sequentially complete markets remain incomplete,"
CORE Discussion Papers RP
2034, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Drèze Jacques H. & Herings P. Jean-Jacques, 2003. "Sequentially complete Markets Remain Incomplete," Research Memorandum 058, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
- DRÈZE, Jacques & HERINGS, Jean-Jacques, 2003. "Sequentially complete markets remain incomplete," CORE Discussion Papers 2003085, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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