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On "Badly Behaved" Dynamics: Some Applications of Generalized Urn Schemes to Technological and Economic Change

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Abstract

Adaptive (path dependent) processes of growth modeled by urn schemes are important for several fields of applications: biology, physics, chemistry, economics. In this paper we present a general introduction to urn schemes, together with some new results. We review the studies that have been done in the technological dynamics by means of such schemes. Also several other domains of economic dynamics are analysed by the same machinery and its new modifications allowing to tackle non-homogeneity of the phase space. We demonstrate the phenomena of multiple equilibria, different convergence rates for different limit patterns, locally positive and locally negative feedbacks, limit behavior associated with non-homogeneity of economic environment where producers (firms) are operating. It is also shown that the above urn processes represent a natural and convenient stochastic replicator dynamics which can be used in evolutionary games.

Suggested Citation

  • Dosi, G & Kaniovski, Y, 1994. "On "Badly Behaved" Dynamics: Some Applications of Generalized Urn Schemes to Technological and Economic Change," Journal of Evolutionary Economics, Springer, vol. 4(2), pages 93-123, June.
  • Handle: RePEc:spr:joevec:v:4:y:1994:i:2:p:93-123
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    Cited by:

    1. Cherkashin, Dmitriy & Farmer, J. Doyne & Lloyd, Seth, 2009. "The reality game," Journal of Economic Dynamics and Control, Elsevier, vol. 33(5), pages 1091-1105, May.
      • Dmitriy Cherkashin & J. Doyne Farmer & Seth Lloyd, 2009. "The Reality Game," Papers 0902.0100, arXiv.org, revised Feb 2009.
    2. Dosi, Giovanni & Nelson, Richard R., 2010. "Technical Change and Industrial Dynamics as Evolutionary Processes," Handbook of the Economics of Innovation, in: Bronwyn H. Hall & Nathan Rosenberg (ed.),Handbook of the Economics of Innovation, edition 1, volume 1, chapter 0, pages 51-127, Elsevier.
    3. Giovanni Dosi, 2012. "Economic Coordination and Dynamics: Some Elements of an Alternative "Evolutionary" Paradigm," LEM Papers Series 2012/08, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    4. Giovanni Dosi & Alessio Moneta & Elena Stepanova, 2019. "Dynamic increasing returns and innovation diffusion: bringing Polya Urn processes to the empirical data," Industry and Innovation, Taylor & Francis Journals, vol. 26(4), pages 461-478, April.
    5. Kumaraswamy Velupillai, 2003. "Economics and the complexity vision: chimerical partners or elysian adventurers," Department of Economics Working Papers 0307, Department of Economics, University of Trento, Italia.
    6. Francesco Feri & Miguel Meléndez-Jiménez, 2013. "Coordination in evolving networks with endogenous decay," Journal of Evolutionary Economics, Springer, vol. 23(5), pages 955-1000, November.
    7. Carolina Castaldi & Giovanni Dosi, 2003. "The Grip of History and the Scope for Novelty: Some Results and Open Questions on Path Dependence in Economic Processes," LEM Papers Series 2003/02, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    8. Taeko Endo, 2004. "An Influence of Voters' Preferences on the Stable Parliamentary Seat Share," Econometric Society 2004 Far Eastern Meetings 700, Econometric Society.
    9. Jérome VICENTE (GRES-LEREPS), 2003. "From interaction economics to economic geography : theories and evidences (In French)," Cahiers du GRES (2002-2009) 2003-02, Groupement de Recherches Economiques et Sociales.

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