Order Monotonic Solutions for Generalized Characteristic Functions

Rene van den Brink (), Enrique González-Aranguena, Conrado Manuel and Mónica del Pozo
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Enrique González-Aranguena: Universidad Complutense de Madrid, Spain
Conrado Manuel: Universidad Complutense de Madrid, Spain
Mónica del Pozo: Universidad Carlos III de Madrid, Spain

No 13-093/II, Tinbergen Institute Discussion Papers from Tinbergen Institute

Abstract: This discussion paper resulted in a publication in the 'European Journal of Operational Research', 2014, 238, 786-796.

Generalized characteristic functions extend characteristic functions of 'classical' TU-games by assigning a real number to every ordered coalition being a permutation of any subset of the player set. Such generalized characteristic functions can be applied when the earnings or costs of cooperation among a set of players depends on the order in which the players enter a coalition. In the literature, the two main solutions for generalized characteristic functions are the one of Nowak and Radzik (1994), shortly called NR-value, and the one introduced by Sanchez and Bergantinos (1997), shortly called SB-value. In this paper, we introduce the axiom of order monotonicity with respect to the order of the players in a unanimity coalition, requiring that players who enter earlier should get not more in the corresponding (ordered) unanimity game than players who enter later. We propose several classes of order monotonic solutions for generalized characteristic functions that contain the NR-value and SB-value as special (extreme) cases. We also provide axiomatizations of these classes.

Keywords: Cooperative TU-game; generalized characteristic function; order monotonicity (search for similar items in EconPapers)
JEL-codes: C71 (search for similar items in EconPapers)
Date: 2013-07-18
New Economics Papers: this item is included in nep-gth
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Journal Article: Order monotonic solutions for generalized characteristic functions (2014)
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Persistent link: https://EconPapers.repec.org/RePEc:tin:wpaper:20130093

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