On the characterization of generalized additive games

Generalized Additive Games (GAGs) are coalitional games where the value of a coalition is calculated as a sum of individual values (provided by players not necessarily in the coalition). In this paper we characterize classes of GAGs that satisfy properties like monotonicity, superadditivity, (total) balancedness, Population Monotonicity Allocation Scheme- (PMAS-)admissibility and supermodularity, for all nonnegative individual values. We also illustrate the application of such conditions over particular GAGs studied in the literature of coalitional games.


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