Existence of independent random matching

Annals of Applied Probability

Volumn 17, Issue 1, 2007, Pages 386-419

  Duffie, Darrell ^a,c   Sun, Yeneng ^b  

^a STANFORD UNIVERSITY   (United States)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^c STANFORD UNIVERSITY   (United States)

Author keywords

Independence; Markov chains; Mutation; Random matching; Types

Indexed keywords

EID: 35448987309     PISSN: 10505164     EISSN: 10505164     Source Type: Journal    
DOI: 10.1214/105051606000000673     Document Type: Article

References (41)

1. ALIPRANTIS, C. D., CAMERA, G. and PUZZELLO, D. (2006). Matching and anonymity. Econom. Theory 29 415-432. MR2248038
2. ALIPRANTIS, C. D., CAMERA, G. and PUZZELLO, D. (2006). A random matching theory. Games and Economic Behavior. To appear.
3. ANDERSON, R. M. (1976). A nonstandard representation for Brownian motion and Itô integration. Israel J. Math. 25 15-46. MR0464380
4. BINMORE, K. and SAMUELSON, L. (1999). Evolutionary drift and equilibrium selection. Review of Economic Studies 66 363-393. MR1686403
5. BURDZY, K., FRANKEL, D. M. and PAUZNER, A. (2001). Fast equilibrium selection by rational players living in a changing world. Econometrica 69 163-189. MR1806537
6. CAVALLI-SFORZA, L. L. and BODMER, W. F. (1971). The Genetics of Human Population. Freeman, San Francisco.
7. CHOW, Y. S. and TEICHER, H. (1997). Probability Theory: Independence, Interchangeability, Martingales, 3rd. ed. Springer, New York. MR1476912
8. DEKEL, E. and SCOTCHMER, S. (1999). On the evolution of attitudes towards risk in winner-take-all games. Journal of Economic Theory 87 125-143. MR1705307
9. DIAMOND, P. (1971). A model of price adjustment. Journal of Economic Theory 3 156-168. MR0452520
10. DIAMOND, P. (1982). Aggregate demand management in search equilibrium. Journal of Political Economy 90 881-894.
11. DIAMOND, P. and YELLIN, J. (1990). Inventories and money holdings in a search economy. Econometrica 58 929-950.
12. DOOB, J. L. (1937). Stochastic processes depending on a continuous parameter. Trans. Amer. Math. Soc. 42 107-140. MR1501916
13. DOOB, J. L. (1953). Stochastic Processes. Wiley, New York. MR0058896
14. DUFFIE, D., GÂRLEANU, N. and PEDERSEN, L. H. (2005). Over-the-counter markets. Econometrica 73 1815-1847. MR2171326
15. DIJFFIE, D. and SUN, Y. N. (July 2004). The exact law of large numbers for independent random matching. Working paper. Available at http://www.stanford.edu/~duffi.e/ll.n-I.pdf.
16. FUDENBERG, D. and LEVINE, D. (1993). Steady-state learning and Nash, equilibrium. Econometrica 61 547-573. MR1217835
17. GALE, D. (1986). Bargaining and competition. Characterization. Econometrica 54 785-806. MR0853983
18. GALE, D. (1986). Bargaining and competition. Existence. Econometrica 54 807-818. MR0853984
19. GREEN, E. J. and ZHOU, R. (2002). Dynamic monetary equilibrium in a random matching economy. Econometrica 70 929-970. MR1910408
20. HARDY, G. H. (1908). Mendelian proportions in a mixed population. Science 28 49-50.
21. HELLWIG, M. (1976). A model of monetary exchange. Econometric Research Program, Research Memorandum. Number 202, Princeton Univ.
22. HARRINGTON, J. E. (1998). The social selection of flexible and rigid, agents. American Economic Review 88 63-82.
23. HOSIOS, A. (1990). On the efficiency of matching and related models of search and unemployment. Rev. Econom. Stud. 57 279-298.
24. JUDD, K. L. (1985). The law of large numbers with a continuum of iid random, variables. Journal of Economic Theory 35 19-25. MR0786985
25. KALLENBERG, O. (1997). Foundations of Modern Probability. Springer, New York. MR1464694
26. KEISLER, H. J. (1977). Hyperfinite model theory. In Logic Colloquium 76 (R. O. Gandy and J. M. E. Hyland, eds.) 5-110. North-Holland, Amsterdam. MR0491155
27. KEISLER, H. J. (1992). A law of large numbers for fast price adjustment. Trans. Amer. Math. Soc. 332 1-51. MR1046836
28. KEISLER, H. J. (1996). Getting to a competitive equilibrium. Econometrica 64 29-49.
29. KEISLER, H. J. (1995). Approximate tatonnement processes. Econom. Theory S 127-173. MR1309566
30. KEISLER, H. J. and SUN, Y. N. (2004). A metric on probabilities, and products of Loeb spaces. J. London Math. Soc. 69 258-272. MR2025340
31. KIYOTAKI, N. and WRIGHT, R. (1993). A search-theoretic approach to monetary economics. American Economic Review 83 63-77.
32. KRAINER, J. and LEROY, S. (2002). Equilibrium valuation of illiquid assets. Econom. Theory 19 223-242.
33. LOEB, P. A. (1975). Conversion from nonstandard to standard measure spaces and applications in probability theory. Trans. Amer. Math. Soc. 211 113-122. MR0390154
34. LOEB, P. A. and WOLFF, M., eds. (2000). Nonstandard Analysis for the Working Mathematician. Kluwer, Dordrecht. MR1790871
35. MCLENNAN, A. and SONNENSCHEIN, H. (1991). Sequential bargaining as a noncooperative foundation for Walrasian equilibrium.. Econometrica 59 1395-1424. MR 1133040
36. MORTENSEN, D. (1982). Property rights and efficiency in mating, racing, and related games. American Economic Review 72 968-979.
37. MORTENSEN, D. and PISSARIDES, C. (1994). Job creation and job destruction in the theory of unemployment. Rev. Econom. Stud 61 397-415.
38. SUN, Y. N. (1998). A theory of hyperfinite processes: the complete removal of individual uncertainty via exact LLN. J. Math. Econom. 29 419-503. MR1627287
39. SUN, Y. N. (1998). The almost equivalence of pairwise and mutual independence and the duality with exchangeability. Probab. Theory Related Fields 112 425-456. MR1660898
40. SUN, Y. N. (2006). The exact law of large numbers via Fubini extension and characterization of insurable risks. J. Econom. Theory 126 31-69. MR2195268
41. WOLINSKY, A. (1990). Information revelation in a market with pairwise meetings. Econometrica 58 1-23. MR1046917