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Heterogeneous Expectations, Adaptive Learning, and Evolutionary Dynamics

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  • Eran A. Guse

    (Department of Economics, West Virginia University)

Abstract

This paper presents a linear self-referential macroeconomic model with the possibility of multiple equilibria where agents have the choice of using one of two forecasting models (one of minimum state variable form and the other of sunspot form) to form expectations of current and future prices. Endogenous predictor selection is modeled as an evolutionary game where individuals choose among the forecasting models based on relative performance. Some Nash solutions are not relevant as they are not stable under evolutionary or adaptive learning. Finally, it is shown that the sunspot equilibrium is fragile against temporary shocks to information costs.

Suggested Citation

  • Eran A. Guse, 2008. "Heterogeneous Expectations, Adaptive Learning, and Evolutionary Dynamics," Working Papers 09-01, Department of Economics, West Virginia University.
  • Handle: RePEc:wvu:wpaper:09-01
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    File URL: http://be.wvu.edu/phd_economics/pdf/09-01.pdf
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    References listed on IDEAS

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    1. Thomas J. Sargent, 1973. "Rational Expectations, the Real Rate of Interest, and the Natural Rate of Unemployment," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 4(2), pages 429-480.
    2. Evans, George W., 1989. "The fragility of sunspots and bubbles," Journal of Monetary Economics, Elsevier, vol. 23(2), pages 297-317, March.
    3. Chryssi Giannitsarou, 2003. "Heterogeneous Learning," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(4), pages 885-906, October.
    4. Marcet, Albert & Sargent, Thomas J., 1989. "Convergence of least squares learning mechanisms in self-referential linear stochastic models," Journal of Economic Theory, Elsevier, vol. 48(2), pages 337-368, August.
    5. Arifovic, Jasmina, 1994. "Genetic algorithm learning and the cobweb model," Journal of Economic Dynamics and Control, Elsevier, vol. 18(1), pages 3-28, January.
    6. Guse, Eran A., 2008. "Learning in a misspecified multivariate self-referential linear stochastic model," Journal of Economic Dynamics and Control, Elsevier, vol. 32(5), pages 1517-1542, May.
    7. Evans, George W. & McGough, Bruce, 2005. "Monetary policy, indeterminacy and learning," Journal of Economic Dynamics and Control, Elsevier, vol. 29(11), pages 1809-1840, November.
    8. Guse, Eran A., 2005. "Stability properties for learning with heterogeneous expectations and multiple equilibria," Journal of Economic Dynamics and Control, Elsevier, vol. 29(10), pages 1623-1642, October.
    9. Seppo Honkapohja & Kaushik Mitra, 2006. "Learning Stability in Economies with Heterogeneous Agents," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 9(2), pages 284-309, April.
    10. Sethi, Rajiv & Franke, Reiner, 1995. "Behavioural Heterogeneity under Evolutionary Pressure: Macroeconomic Implications of Costly Optimisation," Economic Journal, Royal Economic Society, vol. 105(430), pages 583-600, May.
    11. Adam, Klaus, 2005. "Learning To Forecast And Cyclical Behavior Of Output And Inflation," Macroeconomic Dynamics, Cambridge University Press, vol. 9(01), pages 1-27, February.
    12. Branch, William A., 2002. "Local convergence properties of a cobweb model with rationally heterogeneous expectations," Journal of Economic Dynamics and Control, Elsevier, vol. 27(1), pages 63-85, November.
    13. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-1311, July.
    14. William A. Brock & Cars H. Hommes, 1997. "A Rational Route to Randomness," Econometrica, Econometric Society, vol. 65(5), pages 1059-1096, September.
    15. Sethi, Rajiv, 1996. "Endogenous regime switching in speculative markets," Structural Change and Economic Dynamics, Elsevier, vol. 7(1), pages 99-118, March.
    16. Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993. "Learning, Mutation, and Long Run Equilibria in Games," Econometrica, Econometric Society, vol. 61(1), pages 29-56, January.
    17. Sargent, Thomas J & Wallace, Neil, 1975. ""Rational" Expectations, the Optimal Monetary Instrument, and the Optimal Money Supply Rule," Journal of Political Economy, University of Chicago Press, vol. 83(2), pages 241-254, April.
    18. George Evans, 1985. "Expectational Stability and the Multiple Equilibria Problem in Linear Rational Expectations Models," The Quarterly Journal of Economics, Oxford University Press, vol. 100(4), pages 1217-1233.
    19. Evans, George W. & Honkapohja, Seppo & Marimon, Ramon, 2001. "Convergence In Monetary Inflation Models With Heterogeneous Learning Rules," Macroeconomic Dynamics, Cambridge University Press, vol. 5(01), pages 1-31, February.
    20. Lucas, Robert Jr., 1972. "Expectations and the neutrality of money," Journal of Economic Theory, Elsevier, vol. 4(2), pages 103-124, April.
    21. Branch, William A. & Evans, George W., 2006. "Intrinsic heterogeneity in expectation formation," Journal of Economic Theory, Elsevier, vol. 127(1), pages 264-295, March.
    22. W. Brian Arthur, 1992. "On Learning and Adaptation in the Economy," Working Papers 854, Queen's University, Department of Economics.
    23. Evans, George W & Ramey, Garey, 1992. "Expectation Calculation and Macroeconomic Dynamics," American Economic Review, American Economic Association, vol. 82(1), pages 207-224, March.
    24. Branch, William A. & McGough, Bruce, 2008. "Replicator dynamics in a Cobweb model with rationally heterogeneous expectations," Journal of Economic Behavior & Organization, Elsevier, vol. 65(2), pages 224-244, February.
    25. Hommes, Cars & Sorger, Gerhard, 1998. "Consistent Expectations Equilibria," Macroeconomic Dynamics, Cambridge University Press, vol. 2(03), pages 287-321, September.
    26. Taylor, John B, 1977. "Conditions for Unique Solutions in Stochastic Macroeconomic Models with Rational Expectations," Econometrica, Econometric Society, vol. 45(6), pages 1377-1385, September.
    27. Branch William & McGough Bruce, 2004. "Multiple Equilibria in Heterogeneous Expectations Models," The B.E. Journal of Macroeconomics, De Gruyter, vol. 4(1), pages 1-16, December.
    28. Evans, George W. & Ramey, Garey, 1998. "Calculation, Adaptation And Rational Expectations," Macroeconomic Dynamics, Cambridge University Press, vol. 2(02), pages 156-182, June.
    29. Heinemann, Maik, 2000. "Convergence Of Adaptive Learning And Expectational Stability: The Case Of Multiple Rational-Expectations Equilibria," Macroeconomic Dynamics, Cambridge University Press, vol. 4(03), pages 263-288, September.
    30. Bray, Margaret M & Savin, Nathan E, 1986. "Rational Expectations Equilibria, Learning, and Model Specification," Econometrica, Econometric Society, vol. 54(5), pages 1129-1160, September.
    31. Adam, Klaus & Evans, George W. & Honkapohja, Seppo, 2006. "Are hyperinflation paths learnable?," Journal of Economic Dynamics and Control, Elsevier, vol. 30(12), pages 2725-2748, December.
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    Citations

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    Cited by:

    1. Branch, William A. & McGough, Bruce, 2010. "Dynamic predictor selection in a new Keynesian model with heterogeneous expectations," Journal of Economic Dynamics and Control, Elsevier, vol. 34(8), pages 1492-1508, August.
    2. Parke, William R. & Waters, George A., 2014. "On The Evolutionary Stability Of Rational Expectations," Macroeconomic Dynamics, Cambridge University Press, vol. 18(07), pages 1581-1606, October.
    3. Goldbaum, David & Panchenko, Valentyn, 2010. "Learning and adaptation's impact on market efficiency," Journal of Economic Behavior & Organization, Elsevier, vol. 76(3), pages 635-653, December.
    4. Hommes, Cars, 2011. "The heterogeneous expectations hypothesis: Some evidence from the lab," Journal of Economic Dynamics and Control, Elsevier, vol. 35(1), pages 1-24, January.
    5. Joel Carton & Eran A. Guse, 2010. "Replicator Dynamic Learning in Muth's Model of Price Movements," Working Papers 10-18, Department of Economics, West Virginia University.
    6. Berardi, Michele, 2011. "Fundamentalists vs. chartists: Learning and predictor choice dynamics," Journal of Economic Dynamics and Control, Elsevier, vol. 35(5), pages 776-792, May.
    7. Bofinger, Peter & Debes, Sebastian & Gareis, Johannes & Mayer, Eric, 2013. "Monetary policy transmission in a model with animal spirits and house price booms and busts," Journal of Economic Dynamics and Control, Elsevier, vol. 37(12), pages 2862-2881.
    8. Alberto Locarno, 2012. "Monetary policy in a model with misspecified, heterogeneous and ever-changing expectations," Temi di discussione (Economic working papers) 888, Bank of Italy, Economic Research and International Relations Area.
    9. repec:eee:jeborg:v:137:y:2017:i:c:p:339-360 is not listed on IDEAS
    10. Guse, Eran A., 2014. "Adaptive learning, endogenous uncertainty, and asymmetric dynamics," Journal of Economic Dynamics and Control, Elsevier, vol. 40(C), pages 355-373.
    11. Bovi, Maurizio, 2013. "Are the representative agent’s beliefs based on efficient econometric models?," Journal of Economic Dynamics and Control, Elsevier, vol. 37(3), pages 633-648.
    12. Eran Guse, 2011. "Adaptive Learning, Endogenous Uncertainty, and Asymmetric Dynamics," Working Papers 11-01, Department of Economics, West Virginia University.
    13. Michele Berardi, 2015. "Expectations formation under adaptive learning and evolutionary dynamics," Centre for Growth and Business Cycle Research Discussion Paper Series 206, Economics, The Univeristy of Manchester.
    14. Michele Berardi, 2011. "Heterogeneous sunspots solutions under learning and replicator dynamics," Centre for Growth and Business Cycle Research Discussion Paper Series 160, Economics, The Univeristy of Manchester.
    15. Goldbaum, David, 2017. "Divergent Behavior in Markets with Idiosyncratic Private Information," Review of Behavioral Economics, now publishers, vol. 4(2), pages 181-213, September.
    16. Debes, Sebastian & Gareis, Johannes & Mayer, Eric & Rüth, Sebastian, 2014. "Towards a consumer sentiment channel of monetary policy," W.E.P. - Würzburg Economic Papers 91, University of Würzburg, Chair for Monetary Policy and International Economics.
    17. Berardi, Michele, 2015. "On the fragility of sunspot equilibria under learning and evolutionary dynamics," Journal of Economic Behavior & Organization, Elsevier, vol. 112(C), pages 251-265.
    18. Carravetta, Francesco & Sorge, Marco M., 2013. "Model reference adaptive expectations in Markov-switching economies," Economic Modelling, Elsevier, vol. 32(C), pages 551-559.

    More about this item

    Keywords

    Adaptive Learning; Evolutionary Dynamics; Heterogeneous Expectations; Multiple Equilibria; Rational Expectations.;

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations
    • E37 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Forecasting and Simulation: Models and Applications

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