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Research Output 1996 2019

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Article
2019

The Family of Ideal Values for Cooperative Games

Wang, W., Sun, H., van den Brink, R. & Xu, G., 2019, In : Journal of Optimization Theory and Applications. 180, 3, p. 1065–1086 22 p.

Research output: Contribution to JournalArticleAcademicpeer-review

Cooperative Game
Coalitions
Reward
Coefficient
Centre of gravity
2018

Network Structures with Hierarchy and Communication

Algaba, E., van den Brink, R. & Dietz, C., Oct 2018, In : Journal of Optimization Theory and Applications. 179, 1, p. 265-282 18 p.

Research output: Contribution to JournalArticleAcademicpeer-review

Open Access
Network Structure
Communication
Telecommunication networks
Shapley Value
Cooperative Game

Polluted river problems and games with a permission structure

van den Brink, R., He, S. & Huang, J. P., Mar 2018, In : Games and Economic Behavior. 108, p. 182-205 24 p.

Research output: Contribution to JournalArticleAcademicpeer-review

Axiomatization
Shapley value
Costs
Associated game
Pass-through
2017

Comparable characterizations of four solutions for permission tree games

van den Brink, R., Dietz, C., van der Laan, G. & Xu, G., 1 Apr 2017, In : Economic Theory. 63, 4, p. 903-923 21 p.

Research output: Contribution to JournalArticleAcademicpeer-review

Open Access
Game tree
Graph
Communication
Shapley value
Myerson value

From hierarchies to levels: new solutions for games with hierarchical structure

Álvarez-Mozos, M., van den Brink, R., van der Laan, G. & Tejada, O., 1 Nov 2017, In : International Journal of Game Theory. 46, 4, p. 1089-1113 25 p.

Research output: Contribution to JournalArticleAcademicpeer-review

Hierarchical Structure
Game
Cooperative Game Theory
Shapley Value
Economics

Games with a permission structure - A survey on generalizations and applications

van den Brink, R., 1 Apr 2017, In : TOP. 25, 1, p. 1-33

Research output: Contribution to JournalArticleAcademicpeer-review

Open Access
Game
Shapley Value
Restriction
Axiomatization
Communication

Power Measures and Solutions for Games Under Precedence Constraints

Algaba, E., van den Brink, R. & Dietz, C., 1 Mar 2017, In : Journal of Optimization Theory and Applications. 172, 3, p. 1008-1022 15 p.

Research output: Contribution to JournalArticleAcademicpeer-review

Open Access
Precedence Constraints
Game
Acyclic Digraph
Axiom
Digraph

The reverse TAL-family of rules for bankruptcy problems

van den Brink, R. & Moreno-Ternero, J. D., 1 Jul 2017, In : Annals of Operations Research. 254, 1-2, p. 449-465 17 p.

Research output: Contribution to JournalArticleAcademicpeer-review

Bankruptcy problems
Constrained equal awards rule
Structural properties
2016

An Owen-type value for games with two-level communication structure

van den Brink, J. R., Khmelnitskaya, A. & van der Laan, G., 2016, In : Annals of Operations Research. 243, 1, p. 179-198

Research output: Contribution to JournalArticleAcademicpeer-review

Communication structure
Coalition structure
Communication
Graph
Surplus

Consistency, Population Solidarity, and Egalitarian Solutions for TU-Games

van den Brink, J. R., Chun, Y., Funaki, Y. & Park, B., 2016, In : Theory and Decision. 81, 3, p. 427-447 21 p.

Research output: Contribution to JournalArticleAcademicpeer-review

Open Access

Power on Digraphs

Peters, H., Timmer, J. & van den Brink, J. R., 2016, In : Operations Research and Decisions. 26, 2, p. 107-125

Research output: Contribution to JournalArticleAcademicpeer-review

Open Access
2015

Associated consistency characterization of two linear values for TU games by matrix approach

Xu, G., van den Brink, J. R., van der Laan, G. & Sun, H., 2015, In : Linear Algebra and its Applications. 471, April, p. 224-240

Research output: Contribution to JournalArticleAcademicpeer-review

TU Game
Game
Shapley Value
Unique Solution
Assign

Axiomatization and Implementation of Discounted Shapley Values

van den Brink, J. R. & Funaki, Y., 2015, In : Social Choice and Welfare. 45, 2, p. 329-344

Research output: Contribution to JournalArticleAcademicpeer-review

Open Access
axiomatization
Axiomatization
Shapley value

Harsanyi Power Solutions for Games on Union Stable Systems

Algaba, E., Bilbao, J. M. & van den Brink, J. R., 2015, In : Annals of Operations Research. 225, 1, p. 27-44

Research output: Contribution to JournalArticleAcademicpeer-review

Dividends
Axiomatic characterization
Cooperative game
Graph
Communication

On Axiomatizations of the Shapley Value for Assignment Games

van den Brink, J. R. & Pinter, M., 2015, In : Journal of Mathematical Economics. 60, October, p. 110-114

Research output: Contribution to JournalArticleAcademicpeer-review

Shapley Value
Axiomatization
Assignment
Game
Valuation

On proper Shapley values for monotone TU-games

van den Brink, J. R., Levinsky, R. & Zeleny, M., 2015, In : International Journal of Game Theory. 44, 2, p. 449-471

Research output: Contribution to JournalArticleAcademicpeer-review

TU Game
Shapley Value
Monotone
Game
game theory

The Average Tree Permission Value for Games with a Permission Tree

van den Brink, J. R., Herings, J. J., van der Laan, G. & Talman, D., 2015, In : Economic Theory. 58, 1, p. 99-123

Research output: Contribution to JournalArticleAcademicpeer-review

Axiomatization
Graph
Communication

Two Values for Transferable Utility Games with Coalition and Graph Structure

van den Brink, J. R., van der Laan, G. & Moes, N., 2015, In : TOP. 23, 1, p. 77-99

Research output: Contribution to JournalArticleAcademicpeer-review

Natural gas pipelines
Coalitions
Game
Economics
TU Game
2014

Auctioning and Selling Positions: A Noncooperative Approach to Queueing Conflicts

Ju, Y., Chun, Y. & van den Brink, J. R., 2014, In : Journal of Economic Theory. 153, September, p. 33-45

Research output: Contribution to JournalArticleAcademicpeer-review

Queue
Queueing
Axiomatic design
Optimism
Mechanism design

Constrained core solutions for totally positive games with ordered players

van den Brink, J. R., van der Laan, G. & Vasil'ev, V., 2014, In : International Journal of Game Theory. 43, 2, p. 351-368

Research output: Contribution to JournalArticleAcademicpeer-review

river
Game
game theory
Berlin
Shapley Value

Games with a Local Permission Structure: Separation of Authority and Value Generation

van den Brink, J. R. & Dietz, C., 2014, In : Theory and Decision. 76, 3, p. 343-361

Research output: Contribution to JournalArticleAcademicpeer-review

Peer Group
peer group
Values
new media
Industry

Independence of downstream and upstream benefits in river water allocation problems

van den Brink, J. R., Estevez Fernandez, M. A., van der Laan, G. & Moes, N., 2014, In : Social Choice and Welfare. 43, 1, p. 173-194

Research output: Contribution to JournalArticleAcademicpeer-review

river
water
money
Water
Allocation problem

Order Monotonic Solutions for Genaralized Characteristic Functions

van den Brink, J. R., Gonzalez-Aranguena, E., Manuel, C. & del Pozo, M., 2014, In : European Journal of Operational Research. 238, 3, p. 786-796

Research output: Contribution to JournalArticleAcademicpeer-review

Characteristic Function
Monotonic
Generalized Functions
Coalitions
TU Game

Union Values for Games with Coalition Structure

van den Brink, J. R. & Dietz, C., 2014, In : Decision Support Systems. 66, October, p. 1-8

Research output: Contribution to JournalArticleAcademicpeer-review

Decision Making
Decision making
Airports
Politics
Coalition structure
2013

A strategic implementation of the average tree solution for cycle-free graph games

van den Brink, J. R., van der Laan, G. & Moes, N., 2013, In : Journal of Economic Theory. 148, 6, p. 2737-2748

Research output: Contribution to JournalArticleAcademicpeer-review

Graph
Surplus
Subgame perfect equilibrium

Characterization of the Reverse Talmud bankruptcy rule by Exemption and Exclusion properties

van den Brink, J. R., Funaki, Y. & van der Laan, G., 2013, In : European Journal of Operational Research. 228, p. 413-417

Research output: Contribution to JournalArticleAcademicpeer-review

Bankruptcy
Reverse
Exemption
Exclusion
Constrained equal awards rule

Measuring Power and Satisfaction in Societies with Opinion Leaders: An Axiomatization

van den Brink, J. R., Rusinowska, A. & Steffen, F., 2013, In : Social Choice and Welfare. 41, 3, p. 671-683

Research output: Contribution to JournalArticleAcademicpeer-review

axiomatization
opinion leader
follower
society
common property

Players Indifferent to Cooperate and Characterizations of the Shapley Value

Manuel, C., Gonzalez-Aranguena, E. & van den Brink, J. R., 2013, In : Mathematical Methods of Operations Research. 77, p. 1-14

Research output: Contribution to JournalArticleAcademicpeer-review

Shapley Value
Axiom
Axiomatization
Axioms
Express

Reconciling Marginalism with Egalitarianism: Consistency, Monotonicity, and Implementation of Egalitarian Shapley Values

van den Brink, J. R., Funaki, Y. & Ju, Y., 2013, In : Social Choice and Welfare. 40, p. 693-714

Research output: Contribution to JournalArticleAcademicpeer-review

Open Access
egalitarianism
economics
Egalitarianism
Monotonicity
Shapley value

Share Functions for Cooperative Games with Levels Structure of Cooperation

Alvarez-Mozos, M., van den Brink, J. R., van der Laan, G. & Tejada, O., 2013, In : European Journal of Operational Research. 224, 1, p. 167-179

Research output: Contribution to JournalArticleAcademicpeer-review

Cooperative Game
Game
Coalitions
TU Game
Union
2012

An Efficient and Fair Solution for Communication Graph Games

van den Brink, J. R., Khmelnitskaya, A. & van der Laan, G., 2012, In : Economics Letters. 117, 3, p. 786-789

Research output: Contribution to JournalArticleAcademicpeer-review

Graph
Axiom
Fairness
Surplus
Communication

Axiomatizations of a Positional Power Score and Measure for Hierarchies

van den Brink, J. R. & Steffen, F., 2012, In : Public Choice. 151, p. 757-787

Research output: Contribution to JournalArticleAcademicpeer-review

axiomatization
decision making
Axiomatization

Balanced Consistency and Balanced Cost Reduction for Sequencing Problems

van den Brink, J. R. & Chun, Y., 2012, In : Social Choice and Welfare. 38, p. 519-529

Research output: Contribution to JournalArticleAcademicpeer-review

Open Access
cost reduction
efficiency
Sequencing

Efficiency and Collusion Neutrality in Cooperative Games and Networks

van den Brink, J. R., 2012, In : Games and Economic Behavior. 76, 1, p. 344-348

Research output: Contribution to JournalArticleAcademicpeer-review

Cooperative game
Collusion
Neutrality
Shapley value
Banzhaf value

Fair agreements for sharing international rivers with multiple springs and externalities

van den Brink, J. R., van der Laan, G. & Moes, N., 2012, In : Journal of Environmental Economics and Management. 63, 3, p. 388-403

Research output: Contribution to JournalArticleAcademicpeer-review

river
water
externality
Externalities
Water

Internal Slackening Scoring Methods

Slikker, M., Borm, P. & van den Brink, J. R., 2012, In : Theory and Decision. 72, p. 445-462

Research output: Contribution to JournalArticleAcademicpeer-review

Open Access

On Hierarchies and Communication

van den Brink, J. R., 2012, In : Social Choice and Welfare. 39, 4, p. 721-735

Research output: Contribution to JournalArticleAcademicpeer-review

Open Access
coalition
communication
Communication
economics
Communication networks

Succes en tevredenheid in collectieve-beslissingsmechanismen

van den Brink, J. R. & Steffen, F., 2012, In : Economisch Statistische Berichten. 97, 4641, p. 480-483

Research output: Contribution to JournalArticleProfessional

The Myerson Value and Superfluous Supports in Union Stable Systems

Algaba, E., Bilbao, J. M., van den Brink, J. R. & Lopez, J. J., 2012, In : Journal of Optimization Theory and Applications. 155, 2, p. 650-668

Research output: Contribution to JournalArticleAcademicpeer-review

2011

A Polynomial Time Algorithm for Computing the Nucleolus for a Class of Disjunctive Games with a Permission Structure

van den Brink, J. R., Katsev, I. V. & van der Laan, G., 2011, In : International Journal of Game Theory. 40, p. 591-616

Research output: Contribution to JournalArticleAcademicpeer-review

Open Access
File

Axiomatizations of two types of Shapley values for games on union closed systems

van den Brink, J. R., Katsev, I. V. & van der Laan, G., 2011, In : Economic Theory. 47, 1, p. 175-188

Research output: Contribution to JournalArticleAcademicpeer-review

Open Access
File
Shapley value
Axiomatization
Closed system
TU game
Myerson value

Harsanyi power solutions for graph-restricted games

van den Brink, J. R., van der Laan, G. & Pruzhansky, V., 2011, In : International Journal of Game Theory. 40, 1, p. 87-110

Research output: Contribution to JournalArticleAcademicpeer-review

Open Access
File
Game
Graph in graph theory
communication
Dividend
coalition

Measuring Power And Satisfaction in Societies with Opinion Leaders: Dictator and Opinion Leader Properties

van den Brink, J. R. & Rusinowska, A., 2011, In : Homo Oeconomicus. 28, p. 161-185

Research output: Contribution to JournalArticleAcademicpeer-review

2010

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

van den Brink, J. R., Katsev, I. V. & van der Laan, G., 2010, In : European Journal of Operational Research. 207, p. 817-826

Research output: Contribution to JournalArticleAcademicpeer-review

Nucleolus
Cooperative Game
Game
Computing
TU Game

Axiomatizations of Banzhaf Permisson Values for Games with a Hierarchical Permission Structure.

van den Brink, J. R., 2010, In : International Journal of Game Theory. 39, p. 445-466

Research output: Contribution to JournalArticleAcademicpeer-review

Open Access
File
axiomatization
Axiomatization
Hierarchical Structure
Game
TU Game
2009

Axiomatizations of a class of equal surplus sharing solutions for TU-games

van den Brink, J. R. & Funaki, Y., 2009, In : Theory and Decision. 67, p. 303-340

Research output: Contribution to JournalArticleAcademicpeer-review

Open Access
File
axiomatization
Values
Specifications
Axiomatization
Surplus sharing

The outflow ranking method for weighted directed graphs

van den Brink, J. R. & Gilles, R. P., 2009, In : European Journal of Operational Research. 193, p. 484-491

Research output: Contribution to JournalArticleAcademicpeer-review

Directed graphs
Weighted Graph
Directed Graph
Ranking
Vertex of a graph

The VL value for network games

Hendricks, R., Borm, P., van den Brink, J. R. & Owen, G., 2009, In : Social Networks. 31, p. 85-91

Research output: Contribution to JournalArticleAcademicpeer-review

Values
interpretation
resources
2008

Characterizations of the Beta and the Degree Network Power Measure

van den Brink, J. R., Borm, P., Hendrickx, R. & Owen, G., 2008, In : Theory and Decision. 64, p. 519-536

Research output: Contribution to JournalArticleAcademicpeer-review

Open Access
File
Industry
normalization
coalition
science
Normalization

Extreme Points of Two Digraph Polytopes: Description and Applications in Economics and Game Theory

van den Brink, J. R., van der Laan, G. & Vasil'ev, V., 2008, In : Journal of Mathematical Economics. 44, p. 1114-1125

Research output: Contribution to JournalArticleAcademicpeer-review

Game theory
Extreme Points
Game Theory
Polytopes
Polytope