A Tale of Two Tails: Peakedness Properties in Inheritance Models of Evolutionary Theory
In this paper, we study transmission of traits through generations in multifactorial inheritance models with sex- and time-dependent heritability. We further analyze the implications of these models under heavy-tailedness of traitsâ€™ distributions. Among other results, we show that in the case of a trait (for instance, a medical or behavioral disorder or a phenotype with significant heritability affecting human capital in an economy) with not very thick-tailed initial density, the trait distribution becomes increasingly more peaked, that is, increasingly more concentrated and unequally spread, with time. But these patterns are reversed for traits with sufficiently heavy-tailed initial distributions (e.g., a medical or behavioral disorder for which there is no strongly expressed risk group or a relatively equally distributed ability with significant genetic influence). Such traitsâ€™ distributions become less peaked over time and increasingly more spread in the population. The proof of the results in the paper is based on the general results on majorization properties of heavy-tailed distributions obtained recently in Ibragimov (Econom Theory 23: 501â€“517, 2007) and also presented in the authorâ€™s Ph.D. dissertation (Ibragimov, New majorization theory in economics and martingale convergence results in econometrics. Yale University, 2005) and several their extensions derived in this work.
|Date of creation:||2008|
|Publication status:||Published in Journal of Evolutionary Economics|
|Contact details of provider:|| Postal: Littauer Center, Cambridge, MA 02138|
Web page: http://www.economics.harvard.edu/
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- Becker, Gary S, 1974.
"A Theory of Social Interactions,"
Journal of Political Economy,
University of Chicago Press, vol. 82(6), pages 1063-1093, Nov.-Dec..
- Gary S. Becker, 1974. "A Theory of Social Interactions," NBER Working Papers 0042, National Bureau of Economic Research, Inc.
- Bergstrom, Theodore C, 1995. "On the Evolution of Altruistic Ethical Rules for Siblings," American Economic Review, American Economic Association, vol. 85(1), pages 58-81, March.
- Theodore C. Bergstrom, "undated". "On the Evolution of Altruistic Ethical Rules for Siblings," ELSE working papers 017, ESRC Centre on Economics Learning and Social Evolution.
- Ted Bergstrom, "undated". "On the Evolution of Altruistic Ethical Rules for Siblings," Papers _023, University of Michigan, Department of Economics.
- Simon, Herbert A, 1993. "Altruism and Economics," American Economic Review, American Economic Association, vol. 83(2), pages 156-161, May.
- Herbert A. Simon, 1992. "Altruism and Economics," Eastern Economic Journal, Eastern Economic Association, vol. 18(1), pages 73-83, Winter.
- Boyan Jovanovic & Rafael Rob, 1987. "Demand-Driven Innovation and Spatial Competition Over Time," Review of Economic Studies, Oxford University Press, vol. 54(1), pages 63-72.
- Jovanovic, Boyan & Rob, Rafael, 1985. "Demand-Driven Innovation and Spatial Competition Over Time," Working Papers 85-34, C.V. Starr Center for Applied Economics, New York University.
- Goldberger, Arthur S, 1989. "Economic and Mechanical Models of Intergenerational Transmission," American Economic Review, American Economic Association, vol. 79(3), pages 504-513, June.
- Goldberger, A.S., 1989. "Economic And Mechanical Models Of Intergenerational Transmission," Working papers 374, Wisconsin Madison - Social Systems.
- Arthur J. Robson, 2002. "Evolution and Human Nature," Journal of Economic Perspectives, American Economic Association, vol. 16(2), pages 89-106, Spring.
- Theodore C. Bergstrom, 2002. "Evolution of Social Behavior: Individual and Group Selection," Journal of Economic Perspectives, American Economic Association, vol. 16(2), pages 67-88, Spring.
- Casey B. Mulligan, 1999. "Galton versus the Human Capital Approach to Inheritance," Journal of Political Economy, University of Chicago Press, vol. 107(S6), pages 184-224, December.
- Peters, H Elizabeth, 1992. "Patterns of Intergenerational Mobility in Income and Earnings," The Review of Economics and Statistics, MIT Press, vol. 74(3), pages 456-466, August.
- An, Mark Yuying, 1998. "Logconcavity versus Logconvexity: A Complete Characterization," Journal of Economic Theory, Elsevier, vol. 80(2), pages 350-369, June.
- An, Mark Yuying, 1995. "Logconcavity versus Logconvexity: A Complete Characterization," Working Papers 95-03, Duke University, Department of Economics.
- Arthur J. Robson, 1995. "The Evolution of Strategic Behaviour," Canadian Journal of Economics, Canadian Economics Association, vol. 28(1), pages 17-41, February.
- Paul J. Zak, 2002. "Genetics, family structure, and economic growth," Journal of Evolutionary Economics, Springer, vol. 12(3), pages 343-365.
- Paul J. Zak, "undated". "Genetics, Family Structure, and Economic Growth," Claremont Colleges Working Papers 2000-21, Claremont Colleges.
- B. Douglas Bernheim & Debraj Ray, 1987. "Economic Growth with Intergenerational Altruism," Review of Economic Studies, Oxford University Press, vol. 54(2), pages 227-243.
- Zimmerman, David J, 1992. "Regression toward Mediocrity in Economic Stature," American Economic Review, American Economic Association, vol. 82(3), pages 409-429, June.
- Samuelson, Paul A, 1993. "Altruism as a Problem Involving Group versus Individual Selection in Economics and Biology," American Economic Review, American Economic Association, vol. 83(2), pages 143-148, May. Full references (including those not matched with items on IDEAS)
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