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Characterizations of network power measures

Brink, René van den; Borm, Peter; Hendrickx, Ruud L. P.; … - 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 utility game that measures the power of each coalition of positions in …

Persistent link: https://www.econbiz.de/10011343952

Networks, communication and hierarchy : applications to cooperative games

Algaba, Encarnación; Brink, René van den - 2021

. Two well-known network structures are hierarchies and communication networks. We give an overview of the most common …Agents participating in different kind of organizations, usually take different positions in some network structure … models of communication and hierarchy restrictions in cooperative games, compare different network structures with each other …

Persistent link: https://www.econbiz.de/10012434059

On hierarchies and communication

Brink, René van den - 2006

which they usually take different positions. Two examples of such structures are communication networks and hierarchies. In … feasible sets in communication networks and compare them with feasible sets arising from hierarchies. …

Persistent link: https://www.econbiz.de/10011349197

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 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

Fair agreements for sharing international rivers with multiple springs and externalities

Brink, René van den; Laan, Gerard van der; Moes, Nigel - 2010

In this paper we consider the problem of sharing water from a river among a group of agents (countries, cities, firms) located along the river. The benefit of each agent depends on the amount of water consumed by the agent. An allocation of the water among the agents is efficient when it...

Persistent link: https://www.econbiz.de/10011381991

On the 1-Nucleolus for classes of cooperative games

Estévez-Fernández, A.; Borm, P.; Fiestras-Janeiro, M.G.; … - 2015

This paper analyzes the 1-nucleolus and, in particular, its relation to the nucleolus and compromise value. It is seen that the 1-nucleolus of a cooperative game can be characterized using a combination of standard bankruptcy rules for associated bankruptcy problems. In particular, for any...

Persistent link: https://www.econbiz.de/10011376297

An algorithm for computing the nucleolus of disjunctive additive games with an acyclic permission structure

Brink, René van den; Katsev, Ilya; Laan, Gerard van der - 2008

network of intermediaries. …

Persistent link: https://www.econbiz.de/10011377258