Learning and the stability of cycles

Macroeconomic Dynamics

Volumn 2, Issue 1, 1998, Pages 22-48

  Bullard, James ^a   Duffy, John ^b  

^a FEDERAL RESERVE BANK OF ST LOUIS   (United States)

^b NONE

Author keywords

Coordination; Genetic algorithm; Learning; Multiple equilibria

Indexed keywords

EID: 0032368627     PISSN: 13651005     EISSN: None     Source Type: Journal    
DOI: 10.1017/s1365100598006026     Document Type: Article

References (57)

1. Arifovic, J. (1994) Genetic algorithm learning and the cobweb model. Journal of Economic Dynamics and Control 18, 3-28.
2. -(1995) Genetic algorithms and inflationary economies. Journal of Monetary Economics 36, 219-243.
3. -(1996) The behavior of the exchange rate in the genetic algorithm and experimental economies. Journal of Political Economy 104, 510-541.
4. Arifovic, J. & C. Eaton (1995) Coordination via genetic learning. Computational Economics 8, 181-203.
5. Arthur, W.B., J.H. Holland, B. LeBaron, R. Palmer & P. Taylor (1996) Asset Pricing Under Endogenous Expectations in an Artificial Stock Market. Working paper 96-12-093, Santa Fe Institute.
6. Axelrod, R. (1987) The evolution of strategies in the iterated prisoner's dilemma. In Lawrence Davis (ed.), Genetic Algorithms and Simulated Annealing, pp. 32-41. Los Altos: Morgan Kaufmann.
7. Azariadis, C. (1981) Self-fulfilling prophecies. Journal of Economic Theory 25, 380-396.
8. -(1993) The Problem of Multiple Equilibria. Manuscript, University of California, Los Angeles.
9. Bäck, T. (1993) Optimal mutation rates in genetic search. In S. Forrest (ed.), Proceedings of the Fifth Annual Conference on Genetic Algorithms. San Mateo: Morgan Kaufmann.
10. Benhabib, J. & R.H. Day (1982) A characterization of erratic dynamics in the overlapping generations model. Journal of Economic Dynamics and Control 4, 37-55.
11. Blickle, T. & L. Thiele (1995) A mathematical analysis of tournament selection. In L.J. Eshelman (ed.), Proceedings of the Sixth Annual Conference on Genetic Algorithms. San Mateo: Morgan Kaufmann.
12. Boldrin, M. & M. Woodford (1990) Equilibrium models displaying endogenous fluctuations and chaos: A survey. Journal of Monetary Economics 25, 189-222.
13. Bray, M. & N.B. Savin (1986) Rational expectations equilibria, learning, and model specification. Econometrica 54, 1129-1160.
14. Bullard, J. (1994) Learning equilibria. Journal of Economic Theory 64, 468-485.
15. Bullard, J. & J. Duffy (1995) On Learning and the Stability of Cycles. Working paper 95-006B, Federal Reserve Bank of St. Louis.
16. -(1998) A model of learning and emulation with artificial adaptive agents. Journal of Economic Dynamics and Control (in press).
17. Dorsey, R.E. & W.J. Mayer (1995) Genetic algorithms for Estimation problems with multiple optima, nondifferentiability, and other irregular features. Journal of Business and Economic Statistics 13, 53-66.
18. Duffy, J. (1994) On learning and the nonuniqueness of equilibrium in an overlapping generations model with fiat money. Journal of Economic Theory 64, 541-553.
19. Evans, G.W. (1989) The fragility of sunspots and bubbles. Journal of Monetary Economics 23, 297-317.
20. Evans, G.W. & S. Honkapohja (1995a) Local convergence of recursive learning to steady states and cycles in stochastic nonlinear models. Econometrica 63, 195-206.
21. -(1995b) Adaptive learning and expectational stability: An introduction. In A. Kirman & M. Salmon (eds.), Learning and Rationality in Economics, pp. 102-126. Oxford: Basil Blackwell.
22. Evans, G.W., S. Honkapohja & T.J. Sargent (1993) On the preservation of deterministic cycles when some agents perceive them to be random fluctuations. Journal of Economic Dynamics and Control 17, 705-721.
23. Evans, G.W., S. Honkapohja & R. Marimon (1995) Global Convergence in Monetary Models with Heterogeneous Learning Rules. Working paper, University of Oregon, University of Helsinki, and Universitat Pompeu Fabra.
24. Fogel, D.B. (1994) An introduction to simulated evolutionary optimization. IEEE Transactions on Neural Networks 5, 3-14.
25. Gale, D. ( 1973) Pure exchange equilibrium of dynamic economic models. Journal of Economic Theory 6, 12-36.
26. Goldberg, D.E. (1989) Genetic Algorithms in Search, Optimization and Machine Learning. Menlo Park: Addison-Wesley.
27. Grandmont, J.-M. (1985) On endogenous competitive business cycles. Econometrica 53, 995-1045.
28. Grandmont, J.-M. (1994) Expectations formation and stability of large socioeconomic systems. CEPREMAP working paper 9424.
29. Grandmont, J.-M., & G. Laroque (1986) Stability of cycles and expectations. Journal of Economic Theory 40, 138-151.
30. Grandmont, J.-M. & G. Laroque (1991) Economic dynamics with learning: Some instability examples. In W.A. Barnett, B. Cornet, C. D'Aspremont, J.J. Gabszewicz, and A. Mas-Colell (eds.), Equilibrium Theory and Applications. Cambridge: Cambridge University Press.
31. Grefenstette, J.J. (1986) Optimization of control parameters for genetic algorithms. IEEE Transactions on Systems, Man, and Cybernetics 16, 122-28.
32. Guesnerie, R. & M. Woodford (1991) Stability of cycles with adaptive learning rules. In W.A. Barnett, et al. (eds.), Equilibrium Theory and Applications. Cambridge: Cambridge University Press.
33. Ho, T.-H. (1996) Finite automata play repeated prisoner's dilemma with information processing costs. Journal of Economic Dynamics and Control 20, 173-207.
34. Holland, J.H. (1975) Adaptation in Natural and Artificial Systems. Ann Arbor: University of Michigan Press.
35. Holland, J.H. & J.H. Miller (1991) Artificial adaptive agents in economic theory. American Economic Review Papers and Proceedings 81, 365-370.
36. Kareken, J.H. & N. Wallace (1981) On the indeterminacy of equilibrium exchange rates. Quarterly Journal of Economics 96, 207-222.
37. Lim, S.S., B.C. Prescott & S. Sunder (1994) Stationary solution to the overlapping generations model of fiat money: Experimental evidence. Empirical Economics 19, 255-277.
38. Ljung, L. (1977) Analysis of recursive stochastic algorithms. IEEE Transactions on Automatic Control AC-22, 551-575.
39. Marcel, A. & T.J. Sargent (1989) Convergence of least squares learning mechanisms in self-referential stochastic models. Journal of Economic Theory 48, 337-368.
40. Marimon, R. & E. McGrattan (1995) On adaptive learning in strategic games. In A. Kirman & M. Salmon (eds.), Learning and Rationality in Economics, pp. 63-101. Oxford: Basil Blackwell.
41. Marimon, R. & S. Sunder (1993) Indeterminacy of equilibria in a hyperinflationary world: Experimental evidence. Econometrica 61, 1073-1107.
42. -(1994) Expectations and learning under alternative monetary regimes: An experimental approach. Economic Theory 4, 131-162.
43. -(1995) Does a constant money growth rule help stabilize inflation?: Experimental evidence. Carnegie-Rochester Conference Series on Public Policy 43, 111-156.
44. Marimon, R., E. McGrattan & T.J. Sargent (1990) Money as a medium of exchange in an economy with artificially intelligent agents. Journal of Economic Dynamics and Control 14, 329-373.
45. Marimon, R., S.E. Spear & S. Sunder (1993) Expectationally driven market volatility: An experimental study. Journal of Economic Theory 61, 74-103.
46. Michalewicz, Z. (1996) Genetic Algorithms + Data Structures = Evolution Programs, 3rd ed. New York: Springer-Verlag.
47. Miller, J.H. (1996) The co-evolution of automata in the repeated prisoner's dilemma. Journal of Economic Behavior and Organization 29, 87-112.
48. Routledge, B. (1995) Adaptive Learning in Financial Markets. Working paper, Carnegie-Mellon University.
49. Rudolph, G. (1994) Convergence analysis of canonical genetic algorithms. IEEE Transactions on Neural Networks 5, 96-101.
50. Rust, J., J.H. Miller & R. Palmer (1994) Characterizing effective trading strategies: Insights from a computerized double auction model. Journal of Economic Dynamics and Control 18, 61-96.
51. Sargent, T.J. (1993) Bounded Rationality in Macroeconomics. Oxford: Oxford University Press.
52. Sarkovskii, A.N. (1964) Coexistence of cycles of a continuous map of a line into itself. Ukrainian Mathematics Journal 16, 61-71.
53. Shell, K. (1977) Monnaie et Allocation Intertemporelle. Working paper, CNRS, Paris (text in English).
54. Van Huyck, J.B., J.P. Cook & R.C. Battalio (1994) Selection dynamics, asymptotic stability, and adaptive behavior. Journal of Political Economy 102, 975-1005.
55. Vives, X. (1996) Social learning and rational expectations. European Economic Review 40, 589-601.
56. Vose, M.D. (1991) Generalizing the notion of schema in genetic algorithms. Artificial Intelligence 50, 385-396.
57. Woodford, M. (1990) Learning to believe in sunspots. Econometrica 58, 277-307.