In this paper we consider a natural generalization of standard tree games where the underlying structure is a directed acyclic graph. We analyze the properties of the game and illustrate its relation with other graph based cost games. We show that although the game is not convex its core is...

In this paper we consider a natural generalization of standard tree games where the underlying structure is a directed acyclic graph. We analyze the properties of the game and illustrate its relation with other graph based cost games. We show that although the game is not convex its core is...

We provide a new modus operandi for the computation of the nucleolus in cooperative games with transferable utility. Using the concept of dual game we extend the theory of characterization sets. Dually essential and dually saturated coalitions determine both the core and the nucleolus in...

We provide a new modus operandi for the computation of the nucleolus in cooperative games with transferable utility. Using the concept of dual game we extend the theory of characterization sets. Dually essential and dually saturated coalitions determine both the core and the nucleolus in...

The group identification literature mostly revolves around the problem of identifying individuals in the community who belong to groups with ethnic or religious identity. Here we use the same model framework to identify individuals who play key role in some sense. In particular we will focus on...

The group identification literature mostly revolves around the problem of identifying individuals in the community who belong to groups with ethnic or religious identity. Here we use the same model framework to identify individuals who play key role in some sense. In particular we will focus on...