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Continuous adjustments and Smale’s non-tâtonnement processes

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  • Yu, Chaowen
  • Hosoya, Yuhki

Abstract

In this study, we investigate the stability of the set of equilibria under non-tâtonnement processes formulated by Smale, and show that under a natural assumption named “continuous adjustment”, every nonextendable non-tâtonnement process converges to some point in the set of equilibria. Moreover, we show that such a process can be constructed.

Suggested Citation

  • Yu, Chaowen & Hosoya, Yuhki, 2022. "Continuous adjustments and Smale’s non-tâtonnement processes," Journal of Mathematical Economics, Elsevier, vol. 100(C).
    • Handle: RePEc:eee:mateco:v:100:y:2022:i:c:s0304406821001683
    DOI: 10.1016/j.jmateco.2021.102619
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    References listed on IDEAS

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    1. Smale, Stephen, 1976. "Exchange processes with price adjustment," Journal of Mathematical Economics, Elsevier, vol. 3(3), pages 211-226, December.
    2. Bottazzi, Jean-Marc, 1994. "Accessibility of Pareto optima by Walrasian exchange processes," Journal of Mathematical Economics, Elsevier, vol. 23(6), pages 585-603, November.
    3. Mas-Colell, Andreu, 1989. "An equivalence theorem for a bargaining set," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 129-139, April.
    4. Kihlstrom, Richard E & Mas-Colell, Andreu & Sonnenschein, Hugo, 1976. "The Demand Theory of the Weak Axiom of Revealed Preference," Econometrica, Econometric Society, vol. 44(5), pages 971-978, September.
    5. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680, Decembrie.
    6. Debreu, Gerard, 1974. "Excess demand functions," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 15-21, March.
    7. Charalambos D. Aliprantis & Kim C. Border, 2006. "Infinite Dimensional Analysis," Springer Books, Springer, edition 0, number 978-3-540-29587-7, November.
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