Molzon, Robert and Puzzello, Daniela (2008): Random Matching and Aggregate Uncertainty.
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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.
|Item Type:||MPRA Paper|
|Original Title:||Random Matching and Aggregate Uncertainty|
|Subjects:||D - Microeconomics > D8 - Information, Knowledge, and Uncertainty > D83 - Search; Learning; Information and Knowledge; Communication; Belief
C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C73 - Stochastic and Dynamic Games; Evolutionary Games; Repeated Games
|Depositing User:||Daniela Puzzello|
|Date Deposited:||08. May 2008 06:44|
|Last Modified:||26. Feb 2013 19:21|
 C.D. Aliprantis, G. Camera, and D. Puzzello, Matching and anonymity, Economic Theory 29 (2006), 415-432.  C.D. Aliprantis, G. Camera, and D. Puzzello, A random matching theory, Games and Economic Behavior 59 (2007), 1-16.  C.D. Aliprantis, G. Camera, and D. Puzzello, Contagion equilibria in a monetary model, Econometrica 75 (2007),277-282.  C. Al´os-Ferrer, Dynamical systems with a continuum of randomly matched agents, Journal of Economic Theory 86 (1999), 245-267.  C. Al´os-Ferrer, Random matching of several innite populations, Annals of Operations Research, 114 (2002), 33-38. 20  C. Al´os-Ferrer, Individual randomness in economic models with a continuum of Agents, Working Paper (2002).  R. Boylan, Laws of large numbers for dynamical systems with randomly matched individuals, Journal of. Econonomic Theory 57 (1992), 473-504.  P. H. Brown, Experimental evidence of money as a medium of exchange, Journal of Economic Dynamics and Control 20 (1996), 583-600.  J.L. Doob, Stochastic Processes, Wiley (1953).  D. Due and Y. Sun, Existence of independent random matching, The Annals of Applied Probability 17 (2007) 386-419.  D. Due and Y. Sun, The Exact law of large numbers for independent random Matching, mimeo.  J. Duy and J. Ochs, Emergence of money as a medium of exchange: an experimental study, American Economic Review 89 (1999), 847-877.  I. Gilboa and A. Matsui, A model of random matching, Journal of Mathematical Economics 21 (1992), 185-197.  S. Guiasu and A. Shenitzer, The principle of maximum Entropy, Mathematical Intelligencer 43 (1985), 42-48.  G. H. Hardy, Mendelian proportions in mixed population, Science 28 (1908), 49-50.  K. Judd, The law of large numbers with a continuum of iid random variables, Journal of Economic Theory 35 (1985), 19-25.  M. Kandori, Social norms and community enforcement, Review of Economic Studies 59 (1992), 63-80.  N. Kiyotaki and R. Wright, On money as a medium of exchange, Journal of Political Economy 97 (1989), 927-954.  R. Lagos and R. Wright, 2005. A unied framework for monetary theory and Policy Analysis, Journal of Political Economy 113 (2005), 463-484.  C. E. Shannon, A mathematical theory of communication, Bell Systems Technical Journal 27 (1948), 379-423, 623-656.  N. L. Stokey and R. E. Lucas, Recursive Methods in Economic Dynamics, Harvard University Press, Cambridge, MA, 1989.