Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/248748 
Year of Publication: 
2021
Series/Report no.: 
Tinbergen Institute Discussion Paper No. TI 2021-064/II
Publisher: 
Tinbergen Institute, Amsterdam and Rotterdam
Abstract: 
In this paper, we introduce a new approach to measure the dissatisfaction for coalitions of players in cooperative transferable utility games. This is done by considering affine (and convex) combinations of the classical excess and the proportional excess. Based on this so-called alpha-excess, we define new solution concepts for cooperative games, such as the alpha-prenucleolus and the alpha-prekernel. The classical prenucleolus and prekernel are a special case. We characterize the alpha-prekernel by strong stability and the alpha-balanced surplus property. Also, we show that the payoff vector generated by the alpha-prenucleolus belongs to the alpha-prekernel.
Subjects: 
Alpha-excess
Alpha-prenucleolus
Alpha-prekernel
Alpha-balanced surplus
Document Type: 
Working Paper

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