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Bargaining and the value of money

Listed author(s):
  • Guillaume Rocheteau
  • Christopher J. Waller

Search models of monetary exchange have typically relied on Nash (1950) bargaining or strategic games that yield an equivalent outcome to determine the terms of trade. By considering alternative axiomatic bargaining solutions in a simple search model with divisible money, we show how this choice matters for important results such as the ability of the optimal monetary policy to generate an efficient allocation. We show that the quantities traded in bilateral matches are always inefficiently low under the Nash (1950) and Kalai-Smorodinsky (1975) solutions, whereas under strongly monotonic solutions such as the egalitarian solution (Luce and Raiffa, 1957; Kalai, 1977), the Friedman Rule achieves the first best allocation. We evaluate quantitatively the welfare cost of inflation under the different bargaining solutions, and we extend the model to allow for endogenous market composition.

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Paper provided by Federal Reserve Bank of Cleveland in its series Working Paper with number 0501.

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Date of creation: 2005
Handle: RePEc:fip:fedcwp:0501
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  1. Randall Wright & Guillame Rocheteau, 2003. "Money in Search Equilibrium, in Competitive Equilibrium, and in Competitive Search Equilibrium," Levine's Bibliography 666156000000000302, UCLA Department of Economics.
  2. Ben Craig & Guillaume Rocheteau, 2008. "Inflation and Welfare: A Search Approach," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 40(1), pages 89-119, 02.
  3. Kocherlakota, Narayana R., 1998. "Money Is Memory," Journal of Economic Theory, Elsevier, vol. 81(2), pages 232-251, August.
  4. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-518, May.
  5. P. A. Diamond, 1982. "Money in Search Equilibrium," Working papers 297, Massachusetts Institute of Technology (MIT), Department of Economics.
  6. 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.
  7. Ehud Kalai, 1977. "Proportional Solutions to Bargaining Situations: Interpersonal Utility Comparisons," Discussion Papers 179, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  8. Coles, Melvyn G. & Wright, Randall, 1998. "A Dynamic Equilibrium Model of Search, Bargaining, and Money," Journal of Economic Theory, Elsevier, vol. 78(1), pages 32-54, January.
  9. Aleksander Berentsen & Guillaume Rocheteau & Shouyong Shi, 2002. "Friedman Meets Hosios: Efficiency in Search Models of Money," Working Papers shouyong-02-04, University of Toronto, Department of Economics.
  10. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
  11. Ricardo Lagos & Guillaume Rocheteau, 2006. "Money and capital as competing media of exchange," Working Paper 0608, Federal Reserve Bank of Cleveland.
  12. Peter Rupert & Martin Schindler & Randall Wright, 2000. "Generalized search-theoretic models of monetary exchange," Working Paper 0005, Federal Reserve Bank of Cleveland.
  13. Martin J. Osborne & Ariel Rubinstein, 2005. "Bargaining and Markets," Levine's Bibliography 666156000000000515, UCLA Department of Economics.
  14. Thomson, W., 1989. "Cooperative Models Of Bargaining," RCER Working Papers 177, University of Rochester - Center for Economic Research (RCER).
  15. O'Neill, Barry & Samet, Dov & Wiener, Zvi & Winter, Eyal, 2004. "Bargaining with an agenda," Games and Economic Behavior, Elsevier, vol. 48(1), pages 139-153, July.
  16. Bernhard Rauch, 2000. "A Divisible Search Model of Fiat Money: A Comment," Econometrica, Econometric Society, vol. 68(1), pages 149-156, January.
  17. Robert E. Lucas, Jr., 2000. "Inflation and Welfare," Econometrica, Econometric Society, vol. 68(2), pages 247-274, March.
  18. Kalai, Ehud & Samet, Dov, 1985. "Monotonic Solutions to General Cooperative Games," Econometrica, Econometric Society, vol. 53(2), pages 307-327, March.
  19. Shouyong Shi, 1997. "A Divisible Search Model of Fiat Money," Econometrica, Econometric Society, vol. 65(1), pages 75-102, January.
  20. Wallace, Neil, 2001. "Whither Monetary Economics?," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 42(4), pages 847-869, November.
  21. Shouyong Shi, 1995. "Money and Prices: A Model of Search and Bargaining," Working Papers 916, Queen's University, Department of Economics.
  22. Moulin, H., 1984. "Implementing the Kalai-Smorodinsky bargaining solution," Journal of Economic Theory, Elsevier, vol. 33(1), pages 32-45, June.
  23. S. Boragan Aruoba & Christopher J. Waller & Randall Wright, 2007. "Money and capital," Working Paper 0714, Federal Reserve Bank of Cleveland.
  24. Grout, Paul A, 1984. "Investment and Wages in the Absence of Binding Contracts: A Nash Bargining Approach," Econometrica, Econometric Society, vol. 52(2), pages 449-460, March.
  25. Trejos, Alberto & Wright, Randall, 1995. "Search, Bargaining, Money, and Prices," Journal of Political Economy, University of Chicago Press, vol. 103(1), pages 118-141, February.
  26. Elisabeth Curtis & Randall Wright, 2002. "Price setting, price dispersion, and the value of money - or - The law of two prices," Working Paper 0209, Federal Reserve Bank of Cleveland.
  27. Chun, Youngsub & Thomson, William, 1988. "Monotonicity properties of bargaining solutions when applied to economics," Mathematical Social Sciences, Elsevier, vol. 15(1), pages 11-27, February.
  28. Guillaume Rocheteau & Randall Wright, 2003. "Inflation and Welfare in Models with Trading Frictions," PIER Working Paper Archive 03-032, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
  29. Kiyotaki, Nobuhiro & Wright, Randall, 1993. "A Search-Theoretic Approach to Monetary Economics," American Economic Review, American Economic Association, vol. 83(1), pages 63-77, March.
  30. Alvin E Roth, 2008. "Axiomatic Models of Bargaining," Levine's Working Paper Archive 122247000000002376, David K. Levine.
  31. Arthur J. Hosios, 1990. "On The Efficiency of Matching and Related Models of Search and Unemployment," Review of Economic Studies, Oxford University Press, vol. 57(2), pages 279-298.
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