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A Leviathan central bank: Modeling seigniorage in a money search model

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  • Waknis, Parag

Abstract

This paper studies the nature of optimal monetary policy under a utility-maximizing monetary authority in a micro-founded model of money based on Lagos and Wright (2005). Such a monetary authority represents a monopoly private money supplier or situations where fiscal policy drives monetary policy and hence the name Leviathan. Under no commitment, I characterize an equilibrium with reputation concerns. The centralized market interaction is modeled as an infinitely repeated game between the Leviathan monetary authority (a large player) and the economic agents (small players), where the size of the players refers to the ability to influence aggregate outcomes. This large–small player dynamics pins down the equilibrium set of payoffs. Under the assumption that agents do not refuse to use money purely for coordination reasons, the one shot game has a unique Nash equilibrium with maximum inflation tax. The set of equilibria is considerably enlarged in the infinite repetition of the game and equilibria with a lower inflation tax can also be supported by providing appropriate incentives to the money supplier.

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  • Waknis, Parag, 2014. "A Leviathan central bank: Modeling seigniorage in a money search model," Economics Letters, Elsevier, vol. 125(3), pages 386-391.
  • Handle: RePEc:eee:ecolet:v:125:y:2014:i:3:p:386-391
    DOI: 10.1016/j.econlet.2014.10.027
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    References listed on IDEAS

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    7. Berentsen, Aleksander, 2006. "On the private provision of fiat currency," European Economic Review, Elsevier, vol. 50(7), pages 1683-1698, October.
    8. 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.
    9. Charalambos D Aliprantis & Gabriele Camera & Daniela Puzzello, 2007. "Contagion Equilibria in a Monetary Model," Econometrica, Econometric Society, vol. 75(1), pages 277-282, January.
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    12. Araujo, Luis & Camargo, Braz, 2008. "Endogenous supply of fiat money," Journal of Economic Theory, Elsevier, vol. 142(1), pages 48-72, September.
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    Cited by:

    1. Waknis, Parag, 2017. "Competitive Supply of Money in a New Monetarist Model," MPRA Paper 75401, University Library of Munich, Germany.

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    More about this item

    Keywords

    Monetary policy; Seigniorage; Leviathan central bank; Inflation tax; Money search; Long-run and Short-run players;
    All these keywords.

    JEL classification:

    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
    • E58 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Central Banks and Their Policies
    • E61 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Policy Objectives; Policy Designs and Consistency; Policy Coordination

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