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The excess of for a coalition is the quantity (); that is, the gain that players in coalition can obtain if they withdraw from the grand coalition under payoff and instead take the payoff (). The nucleolus of v {\displaystyle v} is the imputation for which the vector of excesses of all coalitions (a vector in R 2 N {\displaystyle \mathbb {R ...
A grand coalition is an arrangement in a multi-party parliamentary system in which the two largest political parties of opposing political ideologies unite in a ...
For 2-player games the set of imputations coincides with the core, a popularly studied concept due to its stability against group deviations. [2] The core is a solution concept of cooperative games and consists of multiple imputations, a set of distributions as a result of a game.
In psychology, the term revolutionary coalition describes the formation of a within a larger group with the purpose of altering or disrupting existing authority structures. [1] These efforts also typically aim for “a radical and pervasive change in the functioning and structure of the group or organization.” [ 2 ]
Consider a transferable utility cooperative game (,) where denotes the set of players and is the characteristic function.An imputation is dominated by another imputation if there exists a coalition , such that each player in weakly-prefers (for all ) and there exists that strictly-prefers (<), and can enforce by threatening to leave the grand coalition to form (()).
A coalition is formed when two or more people or groups temporarily work together to achieve a common goal. The term is most frequently used to denote a formation of ...
The core is, by definition, the set of all imputations in which the excess of each coalition is at least 0. Therefore, if the core is non-empty, the nucleolus is in the core. When the core is empty, it is natural to consider an approximation: the ε-core is the set of all imputations in which the excess of each coalition is at least -ε.
A coalition government is a cabinet of a government in which several parties cooperate. The usual reason given for this arrangement is that no party on its own can achieve a majority in the parliament .