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Rationalizability and interactivity in evolutionary OLG models

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  • Ponthiere, Gregory

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 n-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.

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Bibliographic Info

Article provided by Elsevier in its journal Mathematical Social Sciences.

Volume (Year): 66 (2013)
Issue (Month): 2 ()
Pages: 105-116

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Handle: RePEc:eee:matsoc:v:66:y:2013:i:2:p:105-116

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Web page: http://www.elsevier.com/locate/inca/505565

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  1. Bisin, Alberto & Verdier, Thierry, 2001. "The Economics of Cultural Transmission and the Dynamics of Preferences," Journal of Economic Theory, Elsevier, vol. 97(2), pages 298-319, April.
  2. 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, MIT Press, vol. 115(3), pages 955-988, August.
  3. Grégory Ponthière, 2008. "Unequal longevities and lifestyles transmission," PSE Working Papers halshs-00586010, HAL.
  4. Oded Galor & Omer Moav, 2000. "Natural Selection and the Origin of economic Growth," Working Papers 2000-18, Brown University, Department of Economics.
  5. Oded_Galor & Omer Moav, 2004. "Natural Selection and the Evolution of Life Expectancy," Working Papers 2004-14, Brown University, Department of Economics.
  6. James D. Montgomery, 2010. "Intergenerational Cultural Transmission as an Evolutionary Game," American Economic Journal: Microeconomics, American Economic Association, vol. 2(4), pages 115-36, November.
  7. Olivier, Jacques & Thoenig, Mathias & Verdier, Thierry, 2008. "Globalization and the dynamics of cultural identity," Journal of International Economics, Elsevier, vol. 76(2), pages 356-370, December.
  8. 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, pages 467.
  9. Alberto Bisin & Giorgio Topa & Thierry Verdier, 2009. "Cultural transmission, socialization and the population dynamics of multiple-trait distributions," International Journal of Economic Theory, The International Society for Economic Theory, vol. 5(1), pages 139-154.
  10. Sippel, Reinhard, 1997. "An Experiment on the Pure Theory of Consumer's Behaviour," Economic Journal, Royal Economic Society, vol. 107(444), pages 1431-44, September.
  11. 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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