When the performance of a team of agents exceeds our expectations or fall short of them, we often explain this by saying that there was some synergy in the team—either positive (the team exceeded our expectations) or negative (they fell short). Our aim in this article is to develop a formal and principled way of measuring synergies, both positive and negative. Using characteristic function coop...

where I is a finite set of distinct tuples (α0,α1, . . . ,αk) for which eachαi is a nonnegative integer, and the aᾱ are meromorphic functions in D = {z | |z| < 1}. For some index sets I, we determine conditions on aᾱ, whereby a meromorphic solution f of (1.1) in D will have finite order of growth as measured by the Ahlfors-Shimizu characteristic function. In [1], Bank investigated (1.1) where I...

This paper deals with an inverse problem of determining the shape and location of inhomogeneity D in an elliptic equation with a Neumann boundary condition ∂u ∂ν = g on ∂Ω −∆u(x) + pχD(x)u(x) = 0, x ∈ Ω, where D ⊂ Ω and χD is the characteristic function of a subdomain D. We prove the global uniqueness in this inverse problem by a single measurement of Dirichlet data u on ∂Ω.

This paper gives a new characterisation of the dynamic solution of Shenoy for characteristic function games with myopic players. This solution is an extension to the core that is never empty. Our main result is the proof that for games with nonempty cores the core and the dynamic solution yield the same results.

In this paper we investgate some properties of fuzzy ideal extension of fuzzy ideal, fuzzy prime ideal, fuzzy semiprime ideal of a Γ−semiring. Among other results we have obtained a characterization of a prime ideal I of a Γ−semiring in terms of fuzzy ideal extension of its characteristic function λI . Mathematics Subject Classification[2000]:16Y60, 16Y99, 03E72