A note on controlling a chaotic tatonnement

被引:24
作者
Bala, V
Majumdar, M [1 ]
Mitra, T
机构
[1] Cornell Univ, Dept Econ, Ithaca, NY 14853 USA
[2] McGill Univ, Dept Econ, Montreal, PQ, Canada
关键词
chaos; stability; control; tatonnement;
D O I
10.1016/S0167-2681(97)00066-8
中图分类号
F [经济];
学科分类号
02 ;
摘要
The paper studies the possibility of 'targeting' or 'controlling' a chaotic tatonnement by suitable perturbations of the law of motion. The analysis is in the context of a parametric class of exchange economies which are shown to constitute the logistic family of dynamical systems under the tatonnement process. Computer simulations suggest that the control method is effective in attaining neighborhoods of competitive equilibria for many members of this class of economies in a decentralized manner. (C) 1998 Elsevier Science B.V.
引用
收藏
页码:411 / 420
页数:10
相关论文
共 14 条
  • [1] [Anonymous], 1992, Economic Theory, DOI 10.1007/BF01212469
  • [2] Arrow KJ., 1971, GEN COMPETITIVE ANAL
  • [3] BALA V, 1995, 5 VIENN WORKSH ADV N
  • [4] ON DEVANEY DEFINITION OF CHAOS
    BANKS, J
    BROOKS, J
    CAIRNS, G
    DAVIS, G
    STACEY, P
    [J]. AMERICAN MATHEMATICAL MONTHLY, 1992, 99 (04) : 332 - 334
  • [5] Block L. S., 1992, Lecture Notes in Mathematics
  • [6] STATISTICAL DYNAMICS AND ECONOMICS
    DAY, RH
    PIANIGIANI, G
    [J]. JOURNAL OF ECONOMIC BEHAVIOR & ORGANIZATION, 1991, 16 (1-2) : 37 - 83
  • [7] Devaney R, 1987, An introduction to chaotic dynamical systems, DOI 10.2307/3619398
  • [8] Gale D, 1963, Naval Research Logistics Quarterly, V10, P81
  • [9] HURWICZ L, 1986, STUDIES MATH, V25, P238
  • [10] ITERATIVE PRICE MECHANISMS
    SAARI, DG
    [J]. ECONOMETRICA, 1985, 53 (05) : 1117 - 1131