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Characterizing the core via k-core covers

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

This paper extends the notion of individual minimal rights for a transferable utility game (TU-game) to coalitional minimal rights using minimal balanced families of a specific type, thus defining a corresponding minimal rights game. It is shown that the core of a TU-game coincides with the core...

Persistent link: https://www.econbiz.de/10010224779

Composition properties in the river claims problem

Ansink, Erik; Weikard, Hans-Peter - 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/10010226544

Nontransferable utility bankruptcy games

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

In this paper, we analyze bankruptcy problems with nontransferable utility (NTU) from a game theoretical perspective by redefining corresponding NTU-bankruptcy games in a tailor-made way. It is shown that NTU-bankruptcy games are both coalitional merge convex and ordinal convex. Generalizing the...

Persistent link: https://www.econbiz.de/10010250500

The nucleolus of directed acyclic graph games

Sziklai, Balázs; Solymosi, Tamás; Fleiner, Tamás - 2013

In this paper we consider a natural generalization of standard tree games where the underlying structure is a directed acyclic graph. We analyze the properties of the game and illustrate its relation with other graph based cost games. We show that although the game is not convex its core is...

Persistent link: https://www.econbiz.de/10009773083

Efficient formulas and computational efficiency for glove games

Belau-Garmann, Julia - 2013

A well known and simple game to model markets is the glove game where worth is produced by building matching pairs. For glove games, different concepts, like the Shapley value, the restricted Shapley value or the Owen value, yield different distributions of worth. Moreover, computational effort...

Persistent link: https://www.econbiz.de/10010211890

Pairing games and markets

Alkan, Ahmet; Tuncay, Alparslan - 2014

Pairing Games or Markets studied here are the non-two-sided NTU generalization of assignment games. We show that the Equilibrium Set is nonempty, that it is the set of stable allocations or the set of semistable allocations, and that it has several notable structural properties. We also...

Persistent link: https://www.econbiz.de/10010350435

The economics of transboundary river management

Ansink, Erik; Houba, Harold - 2014

We survey the economics of transboundary river water allocation, which emerged in the 1960s and has matured over the last decade due to increasing concerns over water scarcity and pollution. We outline the major approaches and pay specific attention to the strategic aspects of transboundary...

Persistent link: https://www.econbiz.de/10010412473

On the core of directed acyclic graph games

Sziklai, Balázs; Solymosi, Tamás; Fleiner, Tamás - 2014

In this paper we consider a natural generalization of standard tree games where the underlying network is a directed … acyclic graph. We briefly discuss the relation of directed acyclic graph (DAG) games with other network-based cost games. We …-game. We introduce a network canonization process and prove various structural results for the core of canonized DAG-games, for …

Persistent link: https://www.econbiz.de/10010388613

Cooperative games with incomplete information : some open problems

Forges, Françoise; Serrano, Roberto - 2011

This is a brief survey describing some of the recent progress and open problems in the area of cooperative games with incomplete information. We discuss exchange economies, cooperative Bayesian games with orthogonal coalitions, and issues of cooperation in non-cooperative Bayesian games. --...

Persistent link: https://www.econbiz.de/10009272152

On the nonemptiness of approximate cores of large games

Allouch, Nizar; Wooders, Myrna Holtz - 2014

We provide a new proof of the non-emptiness of approximate cores of games with many players of a finite number of types. Earlier papers in the literature proceed by showing that, for games with many players, equal-treatment cores of their "balanced cover games", which are non-empty, can be...

Persistent link: https://www.econbiz.de/10010472889