Random Matching and Aggregate Uncertainty
AbstractRandom 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.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 8603.
Date of creation: 2008
Date of revision:
Find related papers by JEL classification:
- D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information
- C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
This paper has been announced in the following NEP Reports:
- NEP-ALL-2008-05-10 (All new papers)
- NEP-DGE-2008-05-10 (Dynamic General Equilibrium)
- NEP-GTH-2008-05-10 (Game Theory)
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.:
- 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, 2002. "A unified framework for monetary theory and policy analysis," Working Paper 0211, Federal Reserve Bank of Cleveland.
- Ricardo Lagos & Randall Wright, 2004. "A unified framework for monetary theory and policy analysis," Staff Report 346, Federal Reserve Bank of Minneapolis.
- Aliprantis, C. D. & Camera, G. & Puzzelo, D., 2004.
"A Random Matching Theory,"
Purdue University Economics Working Papers
1168, Purdue University, Department of Economics.
- 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, Carlos, 1999. "Dynamical Systems with a Continuum of Randomly Matched Agents," Journal of Economic Theory, Elsevier, vol. 86(2), pages 245-267, June.
- Alos-Ferrer, C., 1998. "Dynamic Systems with a Continuum of Randomly Matched Agents," Papers 9801, Washington St. Louis - School of Business and Political Economy.
- 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.
- 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.
- Charalambos D Aliprantis & Gabriele Camera & Daniela Puzzello, 2007. "Contagion Equilibria in a Monetary Model," Econometrica, Econometric Society, vol. 75(1), pages 277-282, 01.
- Itzhak Gilboa & Akihiko Matsui, 1990.
"A Model of Random Matching,"
887, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Kandori, Michihiro, 1992.
"Social Norms and Community Enforcement,"
Review of Economic Studies,
Wiley Blackwell, vol. 59(1), pages 63-80, January.
- 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.
- Charalambos Aliprantis & Gabriele Camera & Daniela Puzzello, 2006. "Matching and anonymity," Economic Theory, Springer, vol. 29(2), pages 415-432, October.
- 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.
- Konrad Podczeck & Daniela Puzzello, 2012.
"Independent random matching,"
Springer, vol. 50(1), pages 1-29, May.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Ekkehart Schlicht).
If references are entirely missing, you can add them using this form.