Abstract
Existing solutions to the problem of coexistence of money and higher-return substitutes that rely on imperfect recognizability of the substitutes adopt extreme assumptions: they either have a zero cost of counterfeiting the substitutes or omit plausible refinements that would rule out pooling equilibria. Here coexistence is obtained with a general distribution of positive counterfeiting costs within a signaling-game framework in which the intuitive criterion is invoked. Moreover, if the cost of counterfeiting is small, then any monetary equilibrium that satisfies the intuitive criterion necessarily exhibits coexistence. A continuity assumption on off-equilibrium beliefs is also considered. It is satisfied by equilibria with small use of substitutes, but not by cash-in-advance equilibria.
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References
Aiyagari S.R.: Gresham’s law in a lemons market for assets. Can J Econ 22(3), 686–697 (1989)
Alchian A.: Why money?. J Money Credit Banking 9(1), 133–140 (1977)
Banerjee A., Maskin E.: A Walrasian theory of barter and exchange. Q J Econ 111(4), 955–1005 (1996)
Battigalli P., Siniscalchi M.: Strong belief and forward induction reasoning. J Econ Theory 106, 356–391 (2002)
Billingsley P.: Probability and Measure, 3rd edn. Wiley, New York (1995)
Cho I., Kreps D.: Signaling games and stable equilibria. Q J Econ 102(2), 179–222 (1987)
Freeman S.: Transactions costs and the optimal quantity of money. J Polit Econ 93(1), 146–157 (1985)
Hicks J.: A suggestion for simplifying the theory of money. Econ New Ser 2, 1–19 (1935)
In, Y., Wright, J.: Signaling Private Choices. http://profile.nus.edu.sg/fass/ecsjkdw/ (2011)
Jevons W.: Money and the Mechanism of Exchange. Appleton, London (1875)
Lester, B., Postlewaite, A., Wright, R.: Information and liquidity. J Money Credit Banking (2010, forthcoming)
Li, Y.-T., Rocheteau, G.: Liquidity Constraints. http://www.grocheteau.com/ (2009)
Lagos R., Wright R.: A unified framework for monetary theory and policy analysis. J Polit Econ 113, 463–484 (2005)
Mailath G., Okuno-Fujiwara M., Postlewaite A.: Belief-based refinements in signaling games. J Econ Theory 60, 241–276 (1993)
Nosal E., Wallace N.: A model of (the threat of) counterfeiting. J Monet Econ 54, 994–1001 (2007)
Podczeck, K., Puzzello, D.: Independent random matching. Econ Theory (2010, forthcoming). doi:10.1007/s00199-010-0584-4
Ramey G.: D1 signaling equilibria with multiple signals and a continuum of types. J Econ Theory 69, 508–531 (1996)
Zhu T.: Existence of a monetary steady state in a matching model: divisible money. J Econ Theory 123, 135–160 (2005)
Zhu T., Wallace N.: Pairwise trade and coexistence of money and higher-return assets. J Econ Theory 133, 524–535 (2007)
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I am very grateful to Neil Wallace for his guidance and support. I am also indebted to Guillaume Rocheteau for useful comments to improve the paper. I appreciate comments from participants in the Summer Workshop on Money, Banking, Payments and Finance, Federal Reserve Bank of Chicago, summer 2009.
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Hu, TW. Imperfect recognizability and coexistence of money and higher-return assets. Econ Theory 53, 111–138 (2013). https://doi.org/10.1007/s00199-011-0687-6
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DOI: https://doi.org/10.1007/s00199-011-0687-6