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The Sequential Equal Surplus Division for Sharing International Rivers with Bifurcations

Béal, Sylvain; Ghintran, Amandine; Rémila, Eric; … - Centre de Recherche sur les Stratégies Économiques … - 2012

We consider the problem of sharing water from a river among the group of countries located along it. The benefit of each country depends on the amount of water it consumes. An allocation of the water is efficient when it maximizes the total benefits of the countries. The problem of finding a...

Persistent link: https://www.econbiz.de/10010856006

Decomposition of the space of TU-games, Strong Transfer Invariance and the Banzhaf value

Béal, Sylvain; Rémila, Eric; Solal, Philippe - Centre de Recherche sur les Stratégies Économiques … - 2014

We provide a new and concise characterization of the Banzhaf value on the (linear) space of all TU-games on a fixed … she belongs to. To prove this result we derive direct-sum decompositions of the space of all TU-games. We show that, for … each player, the space of all TU-games is the direct sum of the subspace of TU-games where this player is dummy and the …

Persistent link: https://www.econbiz.de/10010945581

Characterization of the Average Tree solution and its kernel

Béal, Sylvain; Rémila, Eric; Solal, Philippe - Centre de Recherche sur les Stratégies Économiques … - 2014

In this article, we study cooperative games with limited cooperation possibilities, represented by a tree on the set of … space of TU-games on a fixed tree, and two new basis for these spaces of TU-games. We then focus our attention on the …-free Games. Games and Economic Behavior 62, 77-92). We provide a basis for its kernel and a new axiomatic characterization by …

Persistent link: https://www.econbiz.de/10010945582

Veto players, the kernel of the Shapley value and its characterization

Béal, Sylvain; Rémila, Eric; Solal, Philippe - Centre de Recherche sur les Stratégies Économiques … - 2014

In this article, we provide a new basis for the kernel of the Shapley value (Shapley, 1953), which is used to construct a new axiom of invariance, and to provide a new axiomatic characterization of the Shapley value. This characterization only invokes marginalistic principles, and does not rely...

Persistent link: https://www.econbiz.de/10010945583

Balanced collective contributions, the equal allocation of non-separable costs and application to data sharing games

Béal, Sylvain; Deschamps, Marc; Solal, Philippe - Centre de Recherche sur les Stratégies Économiques … - 2014

data sharing games within the European REACH legislation. While our result does not hold on data sharing games, we provide …

Persistent link: https://www.econbiz.de/10010945584

Fairness and fairness for neighbors: the difference between the Myerson value and component-wise egalitarian solutions

Béal, Sylvain; Rémila, Eric; Solal, Philippe - Volkswirtschaftliche Fakultät, … - 2012

We replace the axiom of fairness used in the characterization of the Myerson value (Myerson, 1977) by fairness for neighbors in order to characterize the component-wise egalitarian solution. When a link is broken, fairness states the two players incident to the link should be affected similarly...

Persistent link: https://www.econbiz.de/10009650036

On the number of blocks required to access the core

Béal, Sylvain; Rémila, Eric; Solal, Philippe - Volkswirtschaftliche Fakultät, … - 2010

the Davis-Maschler reduced-games is also pointed out. …

Persistent link: https://www.econbiz.de/10008694029

Characterizations of three linear values for TU games by associated consistency: simple proofs using the Jordan normal form};

Béal, Sylvain; Rémila, Eric; Solal, Philippe - Centre de Recherche sur les Stratégies Économiques … - 2015

This article studies values for cooperative games with transferable utility. Numerous such values can be characterized … transformation on the vector space of cooperative games with transferable utility. Xu et al. (2008, 2009, Linear Algebra Appl.), Xu …

Persistent link: https://www.econbiz.de/10011227973

Average tree solutions and the distribution of Harsanyi dividends

Béal, Sylvain; Rémila, Eric; Solal, Philippe - Volkswirtschaftliche Fakultät, … - 2009

We consider communication situations games being the combination of a TU-game and a communication graph. We study the …

Persistent link: https://www.econbiz.de/10008518103

Allocation rules for museum pass programs

Béal, Sylvain; Solal, Philippe - Volkswirtschaftliche Fakultät, … - 2009

We consider natural axioms for allocating the income of museum pass programs. Two allocation rules are characterized and are shown to coincide with the Shapley value and the equal division solution of the associated TU-game introduced by Ginsburgh and Zang (2003).

Persistent link: https://www.econbiz.de/10008543490