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In this paper, we characterise the compromise value of a game as the barycentre of the edges of its core cover. For this, we introduce the τ * value, which extends the adjusted proportional rule for bankruptcy situations and coincides with the compromise value on a large class of games.
In this paper we characterize the class of games for which the core coincides with the core cover (compromise stable games). Moreover we will develop an easy explicit formula for the nucleolus for this class of games, using an approach based on bankruptcy problems. Also the class of convex compromise stable games is characterized. The relation between core… (More)
This paper introduces a new way of representing bankruptcy rules. These representations are used to show that the minimal overlap rule is a composition of the Ibn Ezra rule and the constrained equal losses rule, a result originally obtained by . The residual minimal overlap rule is analysed as an alternative extension of the Ibn Ezra rule, by using a… (More)
The τ-measure is introduces as a method to rank the nodes in a digraph competition. It coincides with the τ-value of an associated transferable utility game, the so-called digraph game. The τ-measure is characterized in two ways. One of them is based on a characterization of the τ-value in bankruptcy games and uses a decomposition axiom. This… (More)