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Using Genetic Algorithms to Model the Evolution of Heterogeneous Beliefs

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Abstract

We study a general equilibrium system where agents have heterogeneous beliefs concerning realizations of possible outcomes. The actual outcomes feed back into beliefs thus creating a complicated nonlinear system. Beliefs are updated via a genetic algorithm learning process which we interpret as representing communication among agents in the economy. We are able to illustrate a simple principle: genetic algorithms can be implemented so that they represent pure learning effects (i.e., beliefs updating based on realizations of endogenous variables in an environment with heterogeneous beliefs). Agents optimally solve their maximization problem at each date given their beliefs at each date. We report the results of a set of computational experiments in which we find that our population of artificial adaptive agents is usually able to coordinate their beliefs so as to achieve the Pareto superior rational expectations equilibrium of the model.

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References

  • Arifovic, Jasmina (1994). Genetic algorithm learning and the cobweb model. Journal of Economic Dynamics and Control, 18, 3-28.

    Google Scholar 

  • Arifovic, Jasmina (1995). Genetic algorithms and inflationary economies. Journal of Monetary Economics, 36, 219-243.

    Google Scholar 

  • Arifovic, Jasmina (1996). The behavior of the exchange rate in the genetic algorithm and experimental economies. Journal of Political Economy, 104, 510-541.

    Google Scholar 

  • Arifovic, Jasmina, Bullard, James and Duffy, John (1997). The transition from stagnation to growth: an adaptive learning approach. Journal of Economic Growth, 2, 185-209.

    Google Scholar 

  • Arifovic, Jasmina and Eaton, Curtis (1995). Coordination via genetic learning. Computational Economics, 8, 181-203.

    Google Scholar 

  • Bullard, James (1994). Learning equilibria. Journal of Economic Theory, 64, 468-485.

    Google Scholar 

  • Bullard, James and Duffy, John (1998a). A model of learning and emulation with artificial adaptive agents, forthcoming. Journal of Economic Dynamics and Control.

  • Bullard, James and Duffy, John (1998b). On learning and the stability of cycles, forthcoming. Macroeconomic Dynamics.

  • Grefenstette, John J. (1986). Optimization of control parameters for genetic algorithms. IEEE Transactions on Systems, Man, and Cybernetics, 16, 122-128.

    Google Scholar 

  • Goldberg, David E. (1989). Genetic Algorithms in Search, Optimization and Machine Learning. Addison-Wesley, Menlo-Park, CA.

    Google Scholar 

  • Lucas, Robert E. Jr. (1986). Adaptive behavior and economic theory. Journal of Business, 59, S401-S426.

    Google Scholar 

  • Marcet, Albert and Sargent, Thomas J. (1989). Least squares learning and the dynamics of hyperinflation. In W.A. Barnett, J. Geweke and K. Shell (eds.), Economic Complexity: Chaos, Sunspots, Bubbles and Nonlinearity. Cambridge University Press, Cambridge, MA.

    Google Scholar 

  • Marimon, Ramon and Sunder, Shyam (1994). Expectations and learning under alternative monetary regimes: an experimental approach. Economic Theory, 4, 131-162.

    Google Scholar 

  • Mitchell, Melanie (1996). An Introduction to Genetic Algorithms. MIT Press, Cambridge, MA.

    Google Scholar 

  • Pingle, Mark and Tesfatsion, Leigh (1994). Walras' law, pareto efficiency and intermediation in overlapping generations economies. Economic Report No. 34, Iowa State University.

  • Routledge, Bryan R. (1995). Adaptive learning in financial markets. Working paper. Carnegie Mellon University.

  • Rudolph, Günter (1994). Convergence analysis of canonical genetic algorithms. IEEE Transactions on Neural Networks, 5, 96-101.

    Google Scholar 

  • Sargent, Thomas J. (1993). Bounded Rationality in Macroeconomics. Oxford University Press, Oxford.

    Google Scholar 

  • Wilson, Charles A. (1981). Equilibrium in dynamic models with an infinity of agents. Journal of Economic Theory, 24, 95-111.

    Google Scholar 

Download references

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Bullard, J., Duffy, J. Using Genetic Algorithms to Model the Evolution of Heterogeneous Beliefs. Computational Economics 13, 41–60 (1999). https://doi.org/10.1023/A:1008610307810

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  • DOI: https://doi.org/10.1023/A:1008610307810

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