Cooperative games with coalition structures are considered and a principle of coalition structure individual stability with respect to some cooperative solution concepts is determined. In comparison with the paper (Sedakov et al., 2013), we consider the opportunity of the players to block the deviation of a player in case their payoffs decrease with the deviation. We prove the existence of an individually stable coalition structure with respect to the Shapley and equal surplus division values for the case of three-person games according to the new definition of a stable coalition structure.
Translated title of the contributionIndividual stability of coalition structures in three-person games
Original languageRussian
Pages (from-to)73-95
JournalМАТЕМАТИЧЕСКАЯ ТЕОРИЯ ИГР И ЕЕ ПРИЛОЖЕНИЯ
Volume11
Issue number1
StatePublished - 2019

    Research areas

  • coalition structure, stability, the Shapley value, the ES-value

ID: 47442042