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Rationality, aggregate monotonicity and consistency in cooperative games: some (im)possibility results

  • Identification data

    Identifier: imarina:5129789
    Authors:
    Calleja PLlerena F
    Abstract:
    On the domain of cooperative games with transferable utility, we investigate if there are single-valued solutions that reconcile individual rationality, core selection, consistency and monotonicity (with respect to the worth of the grand coalition). This paper states some impossibility results for the combination of core selection with either complement consistency (Moulin, J Econ Theory 36:120-148, 1985) or projected consistency (Funaki, Dual axiomatizations of solutions of cooperative games. Mimeo, Tokyo, 1998), and core selection, max consistency (Davis and Maschler, Naval Res Logist Q 12:223-259, 1965) and monotonicity. By contrast, possibility results are manifest when combining individual rationality, projected consistency and monotonicity.
  • Others:

    Author, as appears in the article.: Calleja P; Llerena F
    Department: Gestió d'Empreses
    URV's Author/s: Llerena Garrés, Francisco
    Abstract: On the domain of cooperative games with transferable utility, we investigate if there are single-valued solutions that reconcile individual rationality, core selection, consistency and monotonicity (with respect to the worth of the grand coalition). This paper states some impossibility results for the combination of core selection with either complement consistency (Moulin, J Econ Theory 36:120-148, 1985) or projected consistency (Funaki, Dual axiomatizations of solutions of cooperative games. Mimeo, Tokyo, 1998), and core selection, max consistency (Davis and Maschler, Naval Res Logist Q 12:223-259, 1965) and monotonicity. By contrast, possibility results are manifest when combining individual rationality, projected consistency and monotonicity.
    Thematic Areas: Sociologia i política Social sciences, mathematical methods Social sciences (miscellaneous) Economics and econometrics Economics Economia Ciencias sociales
    licence for use: https://creativecommons.org/licenses/by/3.0/es/
    Author's mail: francisco.llerena@urv.cat francisco.llerena@urv.cat
    Author identifier: 0000-0002-4898-8404 0000-0002-4898-8404
    Record's date: 2024-09-07
    Papper version: info:eu-repo/semantics/acceptedVersion
    Link to the original source: https://link.springer.com/article/10.1007%2Fs00355-016-0966-z
    Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
    Papper original source: Social Choice And Welfare. 48 (1): 197-220
    APA: Calleja P; Llerena F (2017). Rationality, aggregate monotonicity and consistency in cooperative games: some (im)possibility results. Social Choice And Welfare, 48(1), 197-220. DOI: 10.1007/s00355-016-0966-z
    Article's DOI: 10.1007/s00355-016-0966-z
    Entity: Universitat Rovira i Virgili
    Journal publication year: 2017
    Publication Type: Journal Publications
  • Keywords:

    Economics,Economics and Econometrics,Social Sciences (Miscellaneous),Social Sciences, Mathematical Methods
    Sociologia i política
    Social sciences, mathematical methods
    Social sciences (miscellaneous)
    Economics and econometrics
    Economics
    Economia
    Ciencias sociales
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