Some Properties for Bisemivalues on Bicooperative Games

Margarita Domènech (), José Miguel Giménez () and María Albina Puente ()
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Margarita Domènech: Universitat Politècnica de Catalunya
José Miguel Giménez: Universitat Politècnica de Catalunya
María Albina Puente: Universitat Politècnica de Catalunya

Journal of Optimization Theory and Applications, 2020, vol. 185, issue 1, No 15, 270-288

Abstract: Abstract In this work, we focus on bicooperative games, a variation of the classic cooperative games, and investigate the conditions for the coefficients of the bisemivalues—a generalization of semivalues for cooperative games—necessary and / or sufficient in order to satisfy some properties, including among others, desirability relation, balanced contributions, null player exclusion property and block property. Moreover, a computational procedure to calculate bisemivalues in terms of the multilinear extension of the game is given.

Keywords: Bicooperative game; Bisemivalues; Regularity; Multilinear extension; 91A12 (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-020-01640-x

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