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Rationalizability and interactivity in evolutionary OLG models

Author

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  • Grégory Ponthière

    (PSE - Paris-Jourdan Sciences Economiques - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - INRA - Institut National de la Recherche Agronomique - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

Abstract

We use the theory of rationalizable choices to study the survival and the extinction of types (or traits) in evolutionary OLG models. Two properties of evolutionary processes are introduced: rationalizability by a fitness ordering (i.e. only the most fit types survive) and interactivity (i.e. a withdrawal of types affects the survival of other types). Those properties are shown to be logically incompatible. We then examine whether the evolutionary processes at work in canonical evolutionary OLG models satisfy rationalizability or interactivity. We study nn-type version of the evolutionary OLG models of Galor and Moav (2002) and Bisin and Verdier (2001), and show that, while the evolutionary process at work in the former is generally rationalizable by a fitness ordering, the opposite is true for the latter, which exhibits, in general, interactivity.

Suggested Citation

  • Grégory Ponthière, 2013. "Rationalizability and interactivity in evolutionary OLG models," PSE-Ecole d'économie de Paris (Postprint) halshs-00847265, HAL.
    • Handle: RePEc:hal:pseptp:halshs-00847265
    DOI: 10.1016/j.mathsocsci.2013.04.004
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    References listed on IDEAS

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    1. Paul A. Samuelson, 1958. "An Exact Consumption-Loan Model of Interest with or without the Social Contrivance of Money," Journal of Political Economy, University of Chicago Press, vol. 66(6), pages 467-467.
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    5. Alberto Bisin & Thierry Verdier, 2000. ""Beyond the Melting Pot": Cultural Transmission, Marriage, and the Evolution of Ethnic and Religious Traits," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 115(3), pages 955-988.
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    8. Alberto Bisin & Giorgio Topa & Thierry Verdier, 2004. "Religious Intermarriage and Socialization in the United States," Journal of Political Economy, University of Chicago Press, vol. 112(3), pages 615-664, June.
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    Cited by:

    1. Orlando Gomes, 2022. "Human capital and growth in an OLG-life cycle model," SN Business & Economics, Springer, vol. 2(1), pages 1-26, January.

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