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An Axiomatic Characterization of the MVSHN Group Fitness Ordering

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  • Walter Bossert
  • Chloe X. Qi
  • John A. Weymark

Abstract

In order to analyze a unicellular-multicellular evolutionary transition, a multicellular organism is identified with the vector of viabilities and fecundities of its constituent cells. The Michod–Viossat–Solari–Hurand–Nedelcu index of group fitness for a multicellular organism is a function of these cell viabilities and fecundities. The MVSHN index has been used to analyze the germ-soma specialization and the fitness decoupling between the cell and organism levels that takes place during the transition to multicellularity. In this article, social choice theory is used to provide an axiomatic characterization of the group fitness ordering of vectors of cell viabilities and fecundities underlying the MVSHN index.

Suggested Citation

  • Walter Bossert & Chloe X. Qi & John A. Weymark, 2012. "An Axiomatic Characterization of the MVSHN Group Fitness Ordering," Cahiers de recherche 16-2012, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    • Handle: RePEc:mtl:montec:16-2012
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    References listed on IDEAS

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    1. Blackorby,Charles & Bossert,Walter & Donaldson,David J., 2005. "Population Issues in Social Choice Theory, Welfare Economics, and Ethics," Cambridge Books, Cambridge University Press, number 9780521532587.
    2. BOSSERT, Walter & QI, Chloe X. & WEYMARK, John A., 2012. "Extensive Social Choice and the Measurement of Group Fitness in Biological Hierarchies," Cahiers de recherche 2012-07, Universite de Montreal, Departement de sciences economiques.
    3. Blackorby, Charles & Bossert, Walter & Donaldson, David, 2002. "Utilitarianism and the theory of justice," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 11, pages 543-596, Elsevier.
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    6. Basu, K. & Pattanaik, P. K. & Suzumura, K. (ed.), 1995. "Choice, Welfare, and Development: A Festschrift for Amartya K. Sen," OUP Catalogue, Oxford University Press, number 9780198287896, Decembrie.
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