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Global uniqueness and money non-neutrality in a Walrasian dynamics without rational expectations

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  • Gaël Giraud

    ()
    (CERMSEM)

  • Dimitrios Tsomocos

    ()
    (University of Oxford)

Abstract

We define a non-tâtonnement dynamics in continuous-time for pure-exchange economies with outside and inside fiat money. Traders are myopic, face a cash-in-advance constraint and play dominant strategies in a short-run monetary strategic market game involving the limit-price mechanism. The profits of the Bank are redistributed to its private shareholders, but they can use them to pay their own debts only in the next period. Provided there is enough inside money, monetary trade curves converge towards Pareto optimal allocations; money has a positive value along each trade curve, except on the optimal rest-point where it becomes a veil while trades vanish. Moreover, generically, given initial conditions, there is a piecewise globally unique trade-and-price curve not only in real, but also in nominal variables. Finally, money is locally neutral in the short-run and non-neutral in the long-run.

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Bibliographic Info

Paper provided by Université Panthéon-Sorbonne (Paris 1) in its series Cahiers de la Maison des Sciences Economiques with number b04121.

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Length: 36 pages
Date of creation: Sep 2004
Date of revision:
Handle: RePEc:mse:wpsorb:b04121

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Keywords: Bank; money; price-quantity dynamics; limit-price mechanism; inside money; outside money.;

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  1. M. Shubik & D. Tsomocos, 1992. "A strategic market game with a mutual bank with fractional reserves and redemption in gold," Journal of Economics, Springer, vol. 55(2), pages 123-150, June.
  2. Mertens, J. F., 2003. "The limit-price mechanism," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 433-528, July.
  3. Peck, James & Shell, Karl, 1991. "Market Uncertainty: Correlated and Sunspot Equilibria in Imperfectly Competitive Economies," Review of Economic Studies, Wiley Blackwell, vol. 58(5), pages 1011-29, October.
  4. Giraud, Gael, 2003. "Strategic market games: an introduction," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 355-375, July.
  5. Tsomocos, Dimitrios P., 2003. "Equilibrium analysis, banking and financial instability," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 619-655, July.
  6. Sahi, Siddhartha & Yao, Shuntian, 1989. "The non-cooperative equilibria of a trading economy with complete markets and consistent prices," Journal of Mathematical Economics, Elsevier, vol. 18(4), pages 325-346, September.
  7. Weyers, Sonia, 2003. "A strategic market game with limit prices," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 529-558, July.
  8. Bottazzi, Jean-Marc, 1994. "Accessibility of Pareto optima by Walrasian exchange processes," Journal of Mathematical Economics, Elsevier, vol. 23(6), pages 585-603, November.
  9. Champsaur, P. & Cornet, B., 1989. "Walrasian Exchange Processes," CORE Discussion Papers 1989030, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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Cited by:
  1. Gaël Giraud & Dimitrios P. Tsomocos, 2010. "Nominal Uniqueness and Money Non-neutrality in the Limit-Price Exchange Process," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00505141, HAL.
  2. Gaël Giraud, 2004. "The limit-price exchange process," Cahiers de la Maison des Sciences Economiques b04118, Université Panthéon-Sorbonne (Paris 1).
  3. Gaël Giraud, 2007. "The Limit-Price Dynamics — Uniqueness, Computability and Comparative Dynamics in Competitiive Markets," Post-Print halshs-00155709, HAL.

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