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Asset price dynamics when behavioural heterogeneity varies

Author

Listed:
  • Domenico Colucci

    (Dipartimento di Matematica per le Decisioni)

  • Vincenzo Valori

    (Dipartimento di Matematica per le Decisioni)

Abstract

We build a model in which asset prices are expectationally driven and agents forecast future prices hinging on a combination of fundamental value, trend and inertia. The model has a unique steady state and we investigate its stability. In particular the amount of behavioural heterogeneity in the model is given by the number of intermediaries actually operating in the market: we are concerned with the effects that changing such number produces on the steady state in terms of stability. Assuming that the set of relevant intermediaries is sampled randomly we discuss the probability of having stability as a function of the market's parameters and the number of such agents. Our simulations show that stability in the multi-agent setting does not require that conditions for stability in the representative agent case be met for every individual; so stability can arise even if some of the agents would not be compatible with it if they were the only ones operating in the market. The same goes for instability. Further, we find that stabilising (or destabilising) effects of heterogeneity are not uniform across the market's essential characteristics, as captured by a given structural parameter: in fact we can identify a parametric region in which heterogeneity is stabilising and another in which it is destabilising.

Suggested Citation

  • Domenico Colucci & Vincenzo Valori, 2006. "Asset price dynamics when behavioural heterogeneity varies," Working Papers - Mathematical Economics 2006-01, Universita' degli Studi di Firenze, Dipartimento di Scienze per l'Economia e l'Impresa.
    • Handle: RePEc:flo:wpaper:2006-01
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    References listed on IDEAS

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    1. Day, Richard H. & Huang, Weihong, 1990. "Bulls, bears and market sheep," Journal of Economic Behavior & Organization, Elsevier, vol. 14(3), pages 299-329, December.
    2. Annette Vissing-Jorgensen, 2000. "Towards an Explanation of Household Portfolio Choice Heterogeneity: Nonfinancial Income and Participation Cost Structures," Econometric Society World Congress 2000 Contributed Papers 1102, Econometric Society.
    3. Elliott, Graham & ITO, TAKATOSHI, 1998. "Heterogeneous Expectations and Tests of Efficiency in the Yen/Dollar Forward Exchange Rate Market," University of California at San Diego, Economics Working Paper Series qt5wm0q8mz, Department of Economics, UC San Diego.
    4. John Rust & George Hall, 2003. "Middlemen versus Market Makers: A Theory of Competitive Exchange," Journal of Political Economy, University of Chicago Press, vol. 111(2), pages 353-403, April.
    5. Benassy-Quere, Agnes & Larribeau, Sophie & MacDonald, Ronald, 2003. "Models of exchange rate expectations: how much heterogeneity?," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 13(2), pages 113-136, April.
    6. William A. Branch, 2004. "The Theory of Rationally Heterogeneous Expectations: Evidence from Survey Data on Inflation Expectations," Economic Journal, Royal Economic Society, vol. 114(497), pages 592-621, July.
    7. Colucci, D. & Valori, V., 2006. "Ways of learning in a simple economic setting: A comparison," Chaos, Solitons & Fractals, Elsevier, vol. 29(3), pages 653-670.
    8. Brock, William A. & Hommes, Cars H. & Wagener, Florian O. O., 2005. "Evolutionary dynamics in markets with many trader types," Journal of Mathematical Economics, Elsevier, vol. 41(1-2), pages 7-42, February.
    9. Alok Johri & John Leach, 2002. "Middlemen and the Allocation of Heterogeneous Goods," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 43(2), pages 347-362, May.
    10. Stephen Morris & Hyun Song Shin, 2006. "Inertia of Forward-Looking Expectations," American Economic Review, American Economic Association, vol. 96(2), pages 152-157, May.
    11. Cars Hommes & Joep Sonnemans & Jan Tuinstra & Henk van de Velden, 2005. "Coordination of Expectations in Asset Pricing Experiments," The Review of Financial Studies, Society for Financial Studies, vol. 18(3), pages 955-980.
    12. Frankel, Jeffrey A & Froot, Kenneth A, 1990. "Chartists, Fundamentalists, and Trading in the Foreign Exchange Market," American Economic Review, American Economic Association, vol. 80(2), pages 181-185, May.
    13. repec:bla:jindec:v:45:y:1997:i:4:p:405-27 is not listed on IDEAS
    14. Egenter, E. & Lux, T. & Stauffer, D., 1999. "Finite-size effects in Monte Carlo simulations of two stock market models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 268(1), pages 250-256.
    15. Elliott, Graham & Ito, Takatoshi, 1999. "Heterogeneous expectations and tests of efficiency in the yen/dollar forward exchange rate market," Journal of Monetary Economics, Elsevier, vol. 43(2), pages 435-456, April.
    16. Beja, Avraham & Goldman, M Barry, 1980. "On the Dynamic Behavior of Prices in Disequilibrium," Journal of Finance, American Finance Association, vol. 35(2), pages 235-248, May.
    17. John Fingleton, 1997. "Competition Among Middlemen When Buyers and Sellers Can Trade Directly," Journal of Industrial Economics, Wiley Blackwell, vol. 45(4), pages 405-427, December.
    18. Gary Biglaiser, 1993. "Middlemen as Experts," RAND Journal of Economics, The RAND Corporation, vol. 24(2), pages 212-223, Summer.
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    Cited by:

    1. Domenico Colucci & Vincenzo Valori, 2012. "Bounded rationality and parameters’ uncertainty in a simple monetary policy model," Working Papers - Mathematical Economics 2012-03, Universita' degli Studi di Firenze, Dipartimento di Scienze per l'Economia e l'Impresa.
    2. Colucci, Domenico & Doni, Nicola & Ricchiuti, Giorgio & Valori, Vincenzo, 2022. "Market dynamics with a state-owned dominant firm and a competitive fringe," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    3. Colucci, Domenico & Valori, Vincenzo, 2015. "Stabilizing inflation in a simple monetary policy model with heterogeneous agents," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 108(C), pages 233-244.
    4. Colucci, Domenico & Valori, Vincenzo, 2011. "Adaptive expectations and cobweb phenomena: Does heterogeneity matter?," Journal of Economic Dynamics and Control, Elsevier, vol. 35(8), pages 1307-1321, August.
    5. Domenico Colucci & Matteo Vigna & Vincenzo Valori, 2022. "Large and uncertain heterogeneity of expectations: stability of equilibrium from a policy maker standpoint," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 17(1), pages 319-348, January.

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    More about this item

    Keywords

    heterogeneous agents; expectations; stock market; behavioural finance; bounded rationality; middlemen.;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations

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