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Transfers and Exchange-Stability in Two-Sided Matching Problems

Lazarova, Emiliya; Borm, Peter; Estévez-Fernández, Arantza - Tinbergen Instituut - 2014

uses the fact that the core of an associated compensation matching game with constraints is nonempty. …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 …

Persistent link: https://www.econbiz.de/10011257556

Characterizing the Core via k-Core Covers

Sánchez-Rodríguez, Estela; Borm, Peter; … - Tinbergen Instituut - 2013

shown that the core of a TU-game coincides with the core of the corresponding minimal rights game. Moreover, the paper … introduces the notion of the k-core cover as an extension of the core cover. The k-core cover of a TU-game consists of all … minimal rights game. It is shown that the core of a TU-game with player set N coincides with the ⌊|N |/2⌋-core cover …

Persistent link: https://www.econbiz.de/10011257257

Characterizations of Network Power Measures

Brink, René van den; Borm, Peter; Hendrickx, Ruud; … - Tinbergen Instituut - 2005

This discussion paper led to a publication in 'Theory and Decision', 2008, 64, 519-536. A symmetric network consists of a set of positions and a set of bilateral links between these positions. Examples of such networks are exchange networks, communication networks, disease transmission networks,...

Persistent link: https://www.econbiz.de/10011256099

Associated Consistency Characterization of Two Linear Values for TU Games by Matrix Approach

Xu, Genjiu; Brink, René van den; Laan, Gerard van der; … - Tinbergen Instituut - 2012

This discussion paper resulted in a publication in 'Linear Algebra and its Applications', 2015, 471, 224-240.<P> Hamiache (2001) assigns to every TU game a so-called associated game and then shows that the Shapley value is characterized as the unique solution for TU games satisfying the inessential...</p>

Persistent link: https://www.econbiz.de/10011256190

Nontransferable Utility Bankruptcy Games

Estévez-Fernández, Arantza; Borm, Peter; … - Tinbergen Instituut - 2014

merge convex and ordinal convex. Generalizing the notions of core cover and compromise stability for transferable utility …

Persistent link: https://www.econbiz.de/10011256320

Comparable Characterizations of Four Solutions for Permission Tree Games

Brink, René van den; Dietz, Chris; Laan, Gerard van der; … - Tinbergen Instituut - 2015

There is an extensive literature that studies situations of restricted cooperation in cooperative games. Myerson (1979) introduced communication graph games, where players can only cooperate if they are connected in an undirected graph representing the communication possibilities. The Myerson...

Persistent link: https://www.econbiz.de/10011256471