Template-Type: ReDIF-Paper 1.0
Series: Tinbergen Institute Discussion Papers
Creation-Date: 2021-07-06
Number: 21-064/II
Author-Name: Xia Zhang
Author-Workplace-Name: Northwestern Polytechnical University
Author-Name: Rene van den Brink
Author-Workplace-Name: Vrije Universiteit Amsterdam
Author-Name: Arantza Estevez-Fernandez
Author-Workplace-Name: Vrije Universiteit Amsterdam
Title: The Prekernel of Cooperative Games with Alpha-Excess
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 define 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.
Classification-JEL: C71
Keywords: alpha-excess; alpha-prenucleolus; alpha-prekernel; alpha-balanced surplus
File-URL: https://papers.tinbergen.nl/21064.pdf
File-Format: application/pdf
File-Size: 478.877 bytes
Handle: RePEc:tin:wpaper:20210064