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Tree-connected peer group situations and peer group games

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Abstract.

A class of cooperative games arising from economic and operations research situations in which agents with potential individual possibilities are connected via a hierarchy within an organization is introduced. It is shown that the games in this class form a cone which lies in the intersection of convex games and monotonic veto-rich games with the leader of the organization as veto-player. Different economic situations like auctions, communication situations, sequencing situations and flow situations are related to peer group games. For peer group games classical solution concepts have nice computational properties.

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Manuscript received: August 2001/Final version received: October 2001

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Brânzei, R., Fragnelli, V. & Tijs, S. Tree-connected peer group situations and peer group games. Mathematical Methods of OR 55, 93–106 (2002). https://doi.org/10.1007/s001860200176

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  • DOI: https://doi.org/10.1007/s001860200176

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