Convergence of iterative tâtonnement without price normalization

Journal of Economic Dynamics and Control

Volumn 34, Issue 6, 2010, Pages 1077-1091

  Kitti, Mitri ^a  

^a HELSINKI SCHOOL OF ECONOMICS   (Finland)

Author keywords

C62; C63; Computation; Convergence; D51; D58; Equilibrium; Iteration; T tonnement

Indexed keywords

EID: 77952009931     PISSN: 01651889     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jedc.2010.01.011     Document Type: Article

References (25)

1. Allais, M., 1943. A la recherche d'une discipline économique. Ateliers Industria, Paris.
2. Arrow K.J., Block H.D., Hurwicz L. On the stability of the competitive equilibrium, II. Econometrica 1959, 27:82-109.
3. Arrow K.J., Hahn F.H. General Competitive Analysis 1971, North-Holland, Amsterdam.
4. Arrow K.J., Hurwicz L. On the stability of the competitive equilibrium, I. Econometrica 1958, 26:522-552.
5. Arrow K.J., Hurwicz L. Some remarks on the equilibria of economic systems. Econometrica 1960, 28(3):640-646.
6. Bala V., Majumdar M. Chaotic tâtonnement. Economic Theory 1992, 2(4):437-445.
7. Balasko Y. Foundations of the Theory of General Equilibrium 1988, Academic Press, Boston.
8. Balasko Y. Out-of-equilibrium price dynamics. Economic Theory 2007, 33:413-435.
9. Day R.H., Pianigiani G. Statistical dynamics and economics. Journal of Economic Behavior and Organization 1991, 16(1-2):37-84.
10. Debreu G. Smooth preferences. Econometrica 1972, 40(4):603-615.
11. Goeree J.K., Hommes C., Weddepohl C. Stability and complex dynamics in a discrete tâtonnement model. Journal of Economic Behavior and Organization 1998, 33(3):395-410.
12. Hénon M. A two-dimensional mapping with a strange attractor. Communications in Mathematical Physics 1976, 50:69-77.
13. Hildenbrand W., Kirman A.P. Equilibrium Analysis: Variations on the Themes by Edgeworth and Walras 1988, North-Holland, Amsterdam.
14. Kitti, M., 2006. Affine equations as dynamic variables to obtain economic equilibria. Ph.D. Thesis, Helsinki University of Technology.
15. Kitti M., Ehtamo H. Adjustment of an affine contract with fixed-point iteration. Journal of Optimization Theory and Applications 2009, 140(3):477-498.
16. Majumdar, M., 1999. Complicated behaviour in two commodity models: A review. In: Melvin, J.M., Moore, J.C., Riezman, R. (Eds.), Trade, Theory and Econometrics, Essays in Honor of John. S. Chipman. Routledge, London, New York, pp. 237-252.
17. Mas-Colell A. The Theory of General Economic Equilibrium: A Differentiable Approach 1985, Cambridge University Press, Cambridge.
18. Mukherji A. A simple example of complex dynamics. Economic Theory 1999, 14:741-749.
19. Saari D.G. Iterative price mechanisms. Econometrica 1985, 53(5):1117-1132.
20. Samuelson P.A. The stability of equilibrium: comparative statics and dynamics. Econometrica 1941, 9(2):97-120.
21. Scarf H. Some examples of global instability of competitive equilibrium. International Economic Review 1960, 1:157-172.
22. Spivak, M., 1979. A Comprehensive Introduction to Differential Geometry, vol. 4. Publish or Perish, Massachusettes.
23. Tuinstra J. A discrete and symmetric price adjustment process on the simplex. Journal of Economic Dynamics and Control 2000, 24(5-7):881-907.
24. Uzawa H. Walras' tâtonnement in the theory of exchange. Review of Economic Studies 1960, 27:182-194.
25. Walras, L., 1874. Élements d'économie politique pure. Corbaz, Lausanne.