Computing economic chaos

被引：3

作者：

Day R.H. ^{[1
]}

Pavlov O.V. ^{[2
]}

机构：

[1] Department of Economics, University of Southern California, Los Angeles

[2] Information Systems Department, School of Management, Boston University, Boston

来源：

Computational Economics | 2004年 / 23卷 / 4期

关键词：

Binary arithmetic; Chaos; Computational approximation; Computer representation; Computer-generated chaos; Finite computer precision; Tent map;

D O I：

10.1023/B:CSEM.0000026787.81469.1f

中图分类号：

学科分类号：

摘要：

Existence theory in economics is usually in real domains such as the findings of chaotic trajectories in models of economic growth, tâtonnement, or overlapping generations models. Computational examples, however, sometimes converge rapidly to cyclic orbits when in theory they should be nonperiodic almost surely. We explain this anomaly as the result of digital approximation and conclude that both theoretical and numerical behavior can still illuminate essential features of the real data. © 2004 Kluwer Academic Publishers.

引用

页码：289 / 301

页数：12

共 17 条

[1]

Aho A.V., Ullman J.D., Foundations of Computer Science, (1992)

[2]

Day R.H., Complex Economic Dynamics, 1, (1994)

[3]

Day R.H., Adaptive processes and economic theory, Adaptive Economic Models, (1975)

[4]

Farebrother R.W., The Role of Chaotic Processes in Econometric Models, (1991)

[5]

Hommes C.H., On the consistency of backward-looking expectations: The case of the cobweb, Journal of Economic Behavior and Organization, 33, pp. 333-362, (1998)

[6]

Kaplan D., Glass L., Understanding Nonlinear Dynamics, (1995)

[7]

Li T.Y., Yorke J., Period three implies chaos, American Mathematical Monthly, 82, pp. 985-992, (1975)

[8]

Martin-Lof P., The definition of random sequences, Information and Control, 9, pp. 602-619, (1966)

[9]

McCullough B.D., Vinod H.D., The numerically reality of econometric software, Journal of Economic Literature, 37, pp. 633-665, (1999)

[10]

Nishimura K., Sorger G., Optimal cycles and chaos: A survey, Studies in Nonlinear Dynamics and Econometrics, 1, 1, pp. 11-28, (1996)

← 1 2 →