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Transfers and Exchange-Stability in Two-Sided Matching Problems
Lazarova, Emiliya; Borm, Peter; Estévez-Fernández, Arantza - Tinbergen Instituut - 2014
In this paper we consider one-to-many matching problems where the preferences of the agents involved are represented by … matching to a matching of maximum total reward, one can always provide a compensation schedule that will be ex-post stable in … uses the fact that the core of an associated compensation matching game with constraints is nonempty. …
Persistent link: https://www.econbiz.de/10011257556
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On Axiomatizations of the Shapley Value for Assignment Games
Brink, Rene van den; Pinter, Miklos - Tinbergen Instituut - 2012
We consider the problem of axiomatizing the Shapley value on the class of assignment games. We first show that several axiomatizations of the Shapley value on the class of all TU-games do not characterize this solution on the class of assignment games by providing alternative solutions that...
Persistent link: https://www.econbiz.de/10011256194
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The Harsanyi Set for Cooperative TU-Games
Vasil'ev, Valeri; Laan, Gerard van der - Tinbergen Instituut - 2001
This discussion paper resulted in a publication in 'Siberian Advances in Mathematics', 2002, 12, 97-125.<P> A cooperative game with transferable utilities, or simply aTU-game, describes a situation in which players can obtain certainpayoffs by cooperation. A solution mapping for these games is...</p>
Persistent link: https://www.econbiz.de/10011256545
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Comparable Axiomatizations of the Myerson Value, the Restricted Banzhaf Value, Hierarchical Outcomes and the Average Tree Solution for Cycle-Free Graph Restricted Games
Brink, René van den - Tinbergen Instituut - 2009
We consider cooperative transferable utility games, or simply TU-games, with a limited communication structure in which players can cooperate if and only if they are connected in the communication graph. A difference between the restricted Banzhaf value and the Myerson value (i.e. the Shapley...
Persistent link: https://www.econbiz.de/10011256580
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The Restricted Core for Totally Positive Games with Ordered Players
Brink, René van den; Laan, Gerard van der; Vasil'ev, Valeri - Tinbergen Instituut
Recently, applications of cooperative game theory to economic allocation problems have gained popularity. In many such …
Persistent link: https://www.econbiz.de/10011256619
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An Efficient and Fair Solution for Communication Graph Games
Brink, Rene van den; Khmelnitskaya, Anna; Laan, Gerard … - Tinbergen Instituut - 2011
This discussion paper resulted in a publication in 'Economics Letters', 2012, 117, 786-789.<P> We introduce an efficient solution for games with communication graph structures and show that it is characterized by efficiency, fairness and a new axiom called component balancedness. This latter axiom...</p>
Persistent link: https://www.econbiz.de/10011256656
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Cooperative Games on Accessible Union Stable Systems
Algaba, Encarnación; Brink, Rene van den; Dietz, Chris - Tinbergen Instituut - 2013
Agents participating in different kind of organizations, usually take different positions in some relational structure. The aim of this paper is to introduce a new framework taking into account both communication and hierachical features derived from this participation. In fact, this new set or...
Persistent link: https://www.econbiz.de/10011256706
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Composition Properties in the River Claims Problem
Ansink, Erik; Weikard, Hans-Peter - Tinbergen Instituut - 2013
In a river claims problem, agents are ordered linearly, and they have both an initial water endowment as well as a claim to the total water resource. We provide characterizations of two solutions to this problem, using Composition properties which have particularly relevant interpretations for...
Persistent link: https://www.econbiz.de/10011256707
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On the Extreme Points of Two Polytopes associated with a Digraph and Applications to Cooperative Games
Brink, René van den; Laan, Gerard van der; Vasil'ev, Valeri - Tinbergen Instituut - 2004
relationships prescribed by the digraph. We also discuss some applications in cooperative game theory. …
Persistent link: https://www.econbiz.de/10011256717
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Share Functions for Cooperative Games with Levels Structure of Cooperation
Alvarez-Mozos, Mikel; Brink, Rene van den; Laan, Gerard … - Tinbergen Instituut - 2012
This discussion paper resulted in a publication in the 'European Journal of Operational Research', 2013, 224, 167-179.<P> In a standard TU-game it is assumed that every subset of the player set can form a coalition and earn its worth. One of the first models where restrictions in cooperation are...</p>
Persistent link: https://www.econbiz.de/10011256829