 Axiomatic characterizations under players nullificationSylvain Béal, Sylvain Ferrières (), Eric Rémila and Philippe Solal Post-Print from HAL Abstract: Many axiomatic characterizations of values for cooperative games invoke axioms which evaluate the consequences of removing an arbitrary player. Balanced contributions (Myerson, 1980) and balanced cycle contributions (Kamijo and Kongo, 2010) are two well-known examples of such axioms. We revisit these characterizations by nullifying a player instead of deleting her/him from a game. The nullification (Beal et al., 2014a) of a player is obtained by transforming a game into a new one in which this player is a null player, i.e. the worth of the coalitions containing this player is now identical to that of the same coalition without this player. The degree with which our results are close to the original results in the literature is connected to the fact that the targeted value satisfies the null player out axiom (Derks and Haller, 1999). We also revisit the potential approach (Hart and Mas-Colell, 1989) similarly. Keywords: Shapley value; Potential; Nullified player; Cooperative games; Axiomatic characterization (search for similar items in EconPapers) Published in Mathematical Social Sciences, 2016, 80, pp.47-57. ⟨10.1016/j.mathsocsci.2016.01.002⟩ There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it. Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:halshs-01293700 DOI: 10.1016/j.mathsocsci.2016.01.002 Access Statistics for this paper More papers in Post-Print from HAL |
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