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Dynamic Complementarities, Efficiency and Nash Equilibria for Populations of Firms and Workers

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  • Elvio Accinelli
  • Silvia London
  • Lionello F. Punzo
  • Edgar J. Sanchez Carrera

Abstract

We consider an economy with two types of firms (innovative and non-innovative) and two types of workers (skilled and unskilled), where workers' decisions are driven by imitative behavior, and thus the evolution of such an economy depends on the initial distribution of the firms. We show that there exists a continuous of high level steady states and only one low level and asymptotically stable equilibrium. There exists a threshold value on the initial number of firms to be overcome it to located in the basin of attraction of one of the high level equilibrium. We show that in each high level equilibrium there coexists a share of innovative firms with a share of non-innovative firms, and a share of skilled workers (human capital) coexisting with a share of unskilled workers. But if the initial share of innovative firms is lower than the threshold value, then the economy evolves to a low level equilibrium wholly composed by non-innovative firms and unskilled workers. Finally, we characterise the equilibria as the evolutionarily stable strategies against a field.

Suggested Citation

  • Elvio Accinelli & Silvia London & Lionello F. Punzo & Edgar J. Sanchez Carrera, 2010. "Dynamic Complementarities, Efficiency and Nash Equilibria for Populations of Firms and Workers," Journal of Economics and Econometrics, Economics and Econometrics Society, vol. 53(1), pages 90-110.
    • Handle: RePEc:eei:journl:v:53:y:2010:i:1:p:90-110
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    References listed on IDEAS

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    Cited by:

    1. D'Artis Kancs & Pavel Ciaian, 2011. "Modelling the flow of knowledge and human capital: a framework of innovative capital," International Journal of Public Policy, Inderscience Enterprises Ltd, vol. 7(1/2/3), pages 134-160.
    2. Accinelli, Elvio & Sanchez Carrera, Edgar J., 2011. "Strategic complementarities between innovative firms and skilled workers: The poverty trap and the policymaker's intervention," Structural Change and Economic Dynamics, Elsevier, vol. 22(1), pages 30-40, February.
    3. Víctor H. ROSAS-MARTINEZ, 2016. "Towards a Democratization of Knowledge with Topological Emphasis in Economics," Journal of Economics Bibliography, KSP Journals, vol. 3(4), pages 602-609, December.
    4. Kancs, d'Artis & Kielyte, Julda, 2010. "European Integration and Labour Migration," European Integration online Papers (EIoP), European Community Studies Association Austria (ECSA-A), vol. 14, November.
    5. Victor H. ROSAS-MARTINEZ, 2016. "On Behavioral Macroeconomics, Globalization, and Economic Growth," Journal of Economics Bibliography, KSP Journals, vol. 3(3), pages 482-489, September.
    6. Rosas-Martinez, Victor H., 2016. "Towards a Democratization of Knowledge with Topological Emphasis in Economics," MPRA Paper 74746, University Library of Munich, Germany.
    7. James Anderson, 2001. "Migration, FDI, and the Margins of Trade," EERI Research Paper Series EERI_RP_2001_05, Economics and Econometrics Research Institute (EERI), Brussels.
    8. d’Artis Kancs, 2006. "The economic geography of labour migration: Competition, competitiveness and development," EERI Research Paper Series EERI_RP_2006_01, Economics and Econometrics Research Institute (EERI), Brussels.
    9. Accinelli, Elvio, 2015. "Instituciones, economía clásica y economía evolutiva," Panorama Económico, Escuela Superior de Economía, Instituto Politécnico Nacional, vol. 0(21), pages 7-26, julio-dic.

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    More about this item

    Keywords

    Imitative Behavior; Poverty Traps; Strategic Complementarities; Two Population Normal Form Game; Threshold Value.;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • O10 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - General
    • O12 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Microeconomic Analyses of Economic Development
    • O30 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - General

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