Abstract
A dual representation for n-person cooperative games with transferable utility, called the indirect function, is introduced and studied. It contains the same information as the characteristic function since there are simple formulas for obtaining each from the other. Indirect functions are characterized as certain nonincreasing polyhedral convex functions; their relations with the associated characteristic functions are analyzed by means of Fenchel-Moreau generalized conjugation theory. Many concepts in the theory of cooperative games can be easily expressed in terms of indirect functions. In the case of monotone games, the relationship between characteristic and indirect functions takes a simpler form
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