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Bargaining and the value of money

  • 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
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Handle: RePEc:fip:fedcwp:0501
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  1. Grout, Paul A, 1984. "Investment and Wages in the Absence of Binding Contracts: A Nash Bargining Approach," Econometrica, Econometric Society, vol. 52(2), pages 449-60, March.
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  9. S. Boragan Aruoba & Christopher J. Waller, 2005. "Money and Capital," 2005 Meeting Papers 550, Society for Economic Dynamics.
  10. Ricardo Lagos & Guillaume Rocheteau, 2006. "Money and capital as competing media of exchange," Working Paper 0608, Federal Reserve Bank of Cleveland.
  11. 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.
  12. 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.
  13. Aleksander Berentsen & Guillaume Rocheteau & Shouyong Shi, . "Friedman Meets Hosios: Efficiency in Search Models of Money," IEW - Working Papers 154, Institute for Empirical Research in Economics - University of Zurich.
  14. Narayana R. Kocherlakota, 1996. "Money is memory," Staff Report 218, Federal Reserve Bank of Minneapolis.
  15. Shouyong Shi, 1996. "A Divisible Search Model of Fiat Money," Working Papers 930, Queen's University, Department of Economics.
  16. Melvyn Cole & Randall Wright, . "A Dynamic Equilibrium Model of Search, Bargaining, and Money," CARESS Working Papres 97-9, University of Pennsylvania Center for Analytic Research and Economics in the Social Sciences.
  17. Shouyong Shi, 1995. "Money and Prices: A Model of Search and Bargaining," Working Papers 916, Queen's University, Department of Economics.
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  19. Martin J. Osborne & Ariel Rubinstein, 2005. "Bargaining and Markets," Levine's Bibliography 666156000000000515, UCLA Department of Economics.
  20. 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.
  21. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-18, May.
  22. Bernhard Rauch, 2000. "A Divisible Search Model of Fiat Money: A Comment," Econometrica, Econometric Society, vol. 68(1), pages 149-156, January.
  23. Thomson, William, 1994. "Cooperative models of bargaining," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 35, pages 1237-1284 Elsevier.
  24. Alvin E Roth, 2008. "Axiomatic Models of Bargaining," Levine's Working Paper Archive 122247000000002376, David K. Levine.
  25. 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.
  26. 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.
  27. 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.
  28. Trejos, Alberto & Wright, Randall, 1995. "Search, Bargaining, Money, and Prices," Journal of Political Economy, University of Chicago Press, vol. 103(1), pages 118-41, February.
  29. 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.
  30. Ehud Kalai & Dov Samet, 1983. "Monotonic Solutions to General Cooperative Games," Discussion Papers 567, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  31. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
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