Arbeitspapier

Sign properties and axiomatizations of the weighted division value

In this paper, we study axiomatic foundations of the class of weighted division values. Firstly, while keeping efficiency, additivity and the nullifying player property from the original axiomatization of the equal division value, we consider relaxations of symmetry in line with Casajus (2019) to characterize the class of (positively) weighted division values. Secondly, we show that the class of weighted division values can also be characterized by replacing linearity in three axiomatizations of B'eal et al. (2016) with additivity. Finally, we show how strengthening an axiom regarding null, non-negative, respectively nullified players in these three axiomatizations, provides three axiomatizations of the class of positively weighted division values.

Sprache
Englisch

Erschienen in
Series: Tinbergen Institute Discussion Paper ; No. TI 2021-104/II

Klassifikation
Wirtschaft
Thema
cooperative game
weighted division values
axiomatization
sign properties

Ereignis
Geistige Schöpfung
(wer)
Li, Whenzong
Xu, Genjiu
van den Brink, René
Ereignis
Veröffentlichung
(wer)
Tinbergen Institute
(wo)
Amsterdam and Rotterdam
(wann)
2021

Handle
Letzte Aktualisierung
10.03.2025, 11:44 MEZ

Datenpartner

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ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.

Objekttyp

  • Arbeitspapier

Beteiligte

  • Li, Whenzong
  • Xu, Genjiu
  • van den Brink, René
  • Tinbergen Institute

Entstanden

  • 2021

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