DOI

Generalizations of reactive and semi-reactive bargaining sets of TU games are defined for the case when objections and counter-objections are permitted not between singletons but between elements of a family of coalitions and can use coalitions from B. Necessary and sufficient conditions on , B that ensure existence results for generalizations of the reactive bargaining set and of the semi-reactive barganing set at each TU game (N,v) with nonnegative values are obtained. The existence conditions for the generalized reactive bargaining set do not coincide with existence conditions for the generalized kernel and coincide with conditions for the generalized semi-reactive bargaining set only if |N|≤ 4 and B = 2N. The conditions for the generalized semi-reactive bargaining set coincide with conditions for the generalized classical bargaining set that were described in the previous papers of the author. For monotonic B, the condition on for existence of the generalized semi-reactive bargaining sets on the class of games with nonnegative values is also necessary and sufficient on the class of simple games, but similar result for the generalized classical bargaining sets is proved only for |N|≤ 6.

Язык оригиналаанглийский
Номер статьи2050001
Число страниц23
ЖурналInternational Game Theory Review
Том22
Номер выпуска3
Дата раннего онлайн-доступа1 янв 2020
DOI
СостояниеОпубликовано - сен 2020

    Предметные области Scopus

  • Бизнес и международное управление
  • Компьютерные науки (все)
  • Статистика, теория вероятности и теория неопределенности

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