Random Matching and Aggregate Uncertainty
Random matching is often used in economic models as a means of introducing uncertainty in sequential decision problems. We show that random matching schemes that satisfy standard conditions on proportionality are not unique. Two examples show that in a simple growth model, radically di¤erent optimal behavior can result from distinct matching schemes satisfying identical proportionality conditions. That is, non-uniqueness has interesting economic implications since it a¤ects the reward and the transi- tion structures. We propose information entropy as a natural method for selecting unique matching structures for these models. Next, we give conditions on the reward and transition structures of sequential decision models under which the models are not a¤ected by non-uniqueness of the matching scheme.
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- Kandori, Michihiro, 1992.
"Social Norms and Community Enforcement,"
Review of Economic Studies,
Wiley Blackwell, vol. 59(1), pages 63-80, January.
- Ricardo Lagos & Randall Wright, 2002.
"A unified framework for monetary theory and policy analysis,"
0211, Federal Reserve Bank of Cleveland.
- Ricardo Lagos & Randall Wright, 2005. "A Unified Framework for Monetary Theory and Policy Analysis," Journal of Political Economy, University of Chicago Press, vol. 113(3), pages 463-484, June.
- Ricardo Lagos & Randall Wright, 2004. "A unified framework for monetary theory and policy analysis," Staff Report 346, Federal Reserve Bank of Minneapolis.
- Alos-Ferrer, Carlos, 1999.
"Dynamical Systems with a Continuum of Randomly Matched Agents,"
Journal of Economic Theory,
Elsevier, vol. 86(2), pages 245-267, June.
- Carlos Alós-Ferrer, 1998. "- Dynamical Systems With A Continuum Of Randomly Matched Agents," Working Papers. Serie AD 1998-08, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- Alos-Ferrer, C., 1998. "Dynamic Systems with a Continuum of Randomly Matched Agents," Papers 9801, Washington St. Louis - School of Business and Political Economy.
- Jack Ochs & John Duffy, 1999. "Emergence of Money as a Medium of Exchange: An Experimental Study," American Economic Review, American Economic Association, vol. 89(4), pages 847-877, September.
- Kiyotaki, Nobuhiro & Wright, Randall, 1989. "On Money as a Medium of Exchange," Journal of Political Economy, University of Chicago Press, vol. 97(4), pages 927-54, August.
- Gilboa, Itzhak & Matsui, Akihiko, 1992.
"A model of random matching,"
Journal of Mathematical Economics,
Elsevier, vol. 21(2), pages 185-197.
- Charalambos Aliprantis & Gabriele Camera & Daniela Puzzello, 2006. "Matching and anonymity," Economic Theory, Springer, vol. 29(2), pages 415-432, October.
- Boylan, Richard T., 1992. "Laws of large numbers for dynamical systems with randomly matched individuals," Journal of Economic Theory, Elsevier, vol. 57(2), pages 473-504, August.
- Aliprantis, C.D. & Camera, G. & Puzzello, D., 2007.
"A random matching theory,"
Games and Economic Behavior,
Elsevier, vol. 59(1), pages 1-16, April.
- Charalambos D Aliprantis & Gabriele Camera & Daniela Puzzello, 2007. "Contagion Equilibria in a Monetary Model," Econometrica, Econometric Society, vol. 75(1), pages 277-282, 01.
- Judd, Kenneth L., 1985. "The law of large numbers with a continuum of IID random variables," Journal of Economic Theory, Elsevier, vol. 35(1), pages 19-25, February.
- Brown, Paul M., 1996. "Experimental evidence on money as a medium of exchange," Journal of Economic Dynamics and Control, Elsevier, vol. 20(4), pages 583-600, April.
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