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Transfers and exchange-stability in two-sided matching problems
Lazarova, Emiliya A.; Borm, Peter; Estévez-Fernández, … - 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/10010373726
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Games on union closed systems
Brink, René van den; Katsev, Ilya; Laan, Gerard van der - 2011
coalitions also their union is feasible. Properties of solutions (the core, the nucleolus, the prekernel and the Shapley value …
Persistent link: https://www.econbiz.de/10011383187
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Axiomatizations of two types of shapley values for games on union closed systems
Brink, René van den; Katsev, Ilya; Laan, Gerard van der - 2009
A situation in which a finite set of players can obtain certain payoffs by cooperation can be described by a cooperative game with transferable utility, or simply a TU-game. A (single-valued) solution for TU-games assigns a payoff distribution to every TU-game. A well-known solution is the...
Persistent link: https://www.econbiz.de/10011378792
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A Stroll with Alexia
Lohmann, Edwin - 2007
This paper revisits the Alexia value, a recent solution concept for cooperative transferable utility games. We introduce the dual Alexia value and show that it coincides with the Alexia value for several classes of games. We demonstrate the importance of the notion of compromise stability for...
Persistent link: https://www.econbiz.de/10012729181
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Preparation Sequencing Situations and Related Games
Lohmann, Edwin; Borm, Peter; Slikker, Marco - 2010
theoretic perspective. A corresponding preparation sequencing game is defined and the focus is on the core and nucleolus of such …
Persistent link: https://www.econbiz.de/10014196913
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On the Core of Routing Games with Revenues
Estevez-Fernandez, Arantza; Borm, Peter; Meertens, Marc; … - 2006
shown that these games have a nonempty core and a complete description of the core is provided …
Persistent link: https://www.econbiz.de/10014057889
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A Compromise Stable Extension of Bankruptcy Games : Multipurpose Resource Allocation
Borm, Peter - 2011
This paper considers situations characterized by a common-pool resource, which needs to be divided among agents. Each of the agents has some claim on this pool and an individual reward function for assigned resources. This paper analyzes not only the problem of maximizing the total joint reward,...
Persistent link: https://www.econbiz.de/10013128540
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Interactive Purchasing Situations
Borm, Peter - 2012
, it is shown that a decreasing unit price function is a sufficient condition for a non-empty core: the Direct Price … solution is both a core element and a marginal vector. It is seen that the nucleolus of an MCP-game can be derived in …
Persistent link: https://www.econbiz.de/10013107420
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Characterizations of Network Power Measures
van den Brink, René; Borm, Peter; Hendrickx, Ruud; … - 2005
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, control networks etc. For every symmetric network we define a cooperative transferable...
Persistent link: https://www.econbiz.de/10010325263
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Harsanyi solutions in line-graph games
Brink, René van den; Laan, Gerard van der; Vasilʹev, … - 2003
Recently, applications of cooperative game theory to economicallocation problems have gained popularity. To understandthese applications better, economic theory studies thesimilarities and differences between them. The purpose of thispaper is to investigate a special class of cooperative...
Persistent link: https://www.econbiz.de/10011334357