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Four essays on the axiomatic method: cooperative game theory and scientometrics

  • The dissertation provides four contributions on the axiomatic method. The first three chapters deal with cooperative games with transferable utility. In the first two chapters, a systematic study of the nullification operation is done. The removal axioms are translated into their nullified counterparts. Some existing characterizations are revisited, and completely new results are presented. The third chapter introduces and characterizes a proportional Shapley value in which the Harsanyi dividends are shared in proportion to the stand-alone worths of the concerned players. The fourth chapter proposes a multi-dimensional variant of the Hirsch index. An axiomatic characterization and an application to sports rankings are provided. Keywords: Axiomatic method, cooperative game theory, scientometrics, nullification, proportional Shapley value, iterated Hirsch-index

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Document Type:Doctoral Thesis
Author:Sylvain Ferrières
Chairs and Professorships:Chair of Economics and Information Systems
Year of Completion:2017
Besançon: Universitè de Franche-Comtè, 2017 Leipzig, HHL Leipzig Graduate School of Management, Dissertation, 2016