Arbeitspapier

The prekernel of cooperative games with alpha-excess

In this paper, we introduce a new approach to measure the dissatisfaction for coalitions of players in cooperative transferable utility games. This is done by considering affine (and convex) combinations of the classical excess and the proportional excess. Based on this so-called alpha-excess, we define new solution concepts for cooperative games, such as the alpha-prenucleolus and the alpha-prekernel. The classical prenucleolus and prekernel are a special case. We characterize the alpha-prekernel by strong stability and the alpha-balanced surplus property. Also, we show that the payoff vector generated by the alpha-prenucleolus belongs to the alpha-prekernel.

Sprache
Englisch

Erschienen in
Series: Tinbergen Institute Discussion Paper ; No. TI 2021-064/II

Klassifikation
Wirtschaft
Thema
Alpha-excess
Alpha-prenucleolus
Alpha-prekernel
Alpha-balanced surplus

Ereignis
Geistige Schöpfung
(wer)
Zhang, Xia
van den Brink, René
Estévez-Fernández, Arantza
Ereignis
Veröffentlichung
(wer)
Tinbergen Institute
(wo)
Amsterdam and Rotterdam
(wann)
2021

Handle
Letzte Aktualisierung
10.03.2025, 11:42 MEZ

Datenpartner

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Objekttyp

  • Arbeitspapier

Beteiligte

  • Zhang, Xia
  • van den Brink, René
  • Estévez-Fernández, Arantza
  • Tinbergen Institute

Entstanden

  • 2021

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