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Payment systems with random matching and private information

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  • Stephen D. Williamson

Abstract

A model of dynamic risk sharing is constructed where agents meet pairwise and at random, and there is private information about endowments. Risk sharing is accomplished through dynamic contracts involving credit transactions, and through monetary exchange. A Friedman rule is optimal, and solutions are computed. The welfare costs of inflation and the effects of inflation on the distribution of consumption and wealth are small for an economy calibrated to U.S. data. However, these effects are large when the credit system is relatively unsophisticated.
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Suggested Citation

  • Stephen D. Williamson, 1998. "Payment systems with random matching and private information," Proceedings, Federal Reserve Bank of Cleveland, issue Aug, pages 551-572.
  • Handle: RePEc:fip:fedcpr:y:1998:i:aug:p:551-572
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    References listed on IDEAS

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    1. Christopher Phelan & Robert M. Townsend, 1991. "Computing Multi-Period, Information-Constrained Optima," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(5), pages 853-881.
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    8. Aiyagari, S. Rao & Williamson, Stephen D., 2000. "Money and Dynamic Credit Arrangements with Private Information," Journal of Economic Theory, Elsevier, vol. 91(2), pages 248-279, April.
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    11. Dotsey, Michael & Ireland, Peter, 1996. "The welfare cost of inflation in general equilibrium," Journal of Monetary Economics, Elsevier, vol. 37(1), pages 29-47, February.
    12. S. Rao Aiyagari & Stephen D. Williamson, 1999. "Credit in a Random Matching Model with Private Information," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 2(1), pages 36-64, January.
    13. 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.
    14. Aiyagari, S. Rao & Williamson, Stephen, 1997. "Money, Credit, and Allocation Under Complete Dynamic Contracts and Incomplete Markets," Working Papers 97-20, University of Iowa, Department of Economics.
    15. Narayana R. Kocherlakota & Neil Wallace, 1997. "Optimal allocations with incomplete record-keeping and no commitment," Working Papers 578, Federal Reserve Bank of Minneapolis.
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    Cited by:

    1. S. Rao Aiyagari & Stephen D. Williamson, 1999. "Credit in a Random Matching Model with Private Information," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 2(1), pages 36-64, January.
    2. Temzelides, Ted & Williamson, Stephen D., 2001. "Payments Systems Design in Deterministic and Private Information Environments," Journal of Economic Theory, Elsevier, vol. 99(1-2), pages 297-326, July.
    3. Li, Shuyun May, 2013. "Optimal lending contracts with long run borrowing constraints," Journal of Economic Dynamics and Control, Elsevier, vol. 37(5), pages 964-983.
    4. Ed Nosal & Guillaume Rocheteau, 2006. "The economics of payments," Policy Discussion Papers, Federal Reserve Bank of Cleveland, issue Feb.
    5. Williamson, Stephen D., 2003. "Payments systems and monetary policy," Journal of Monetary Economics, Elsevier, vol. 50(2), pages 475-495, March.
    6. Stephen Williamson, 2000. "The Research Agenda: Payment Systems and Private Money," EconomicDynamics Newsletter, Review of Economic Dynamics, vol. 2(1), November.

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    More about this item

    Keywords

    Payment systems;

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty

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