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Home | People | Rene van den Brink
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Rene van den Brink

Research Fellow

University
Vrije Universiteit Amsterdam
Research field
Complexity
Interests
Game Theory, Microeconomic Theory, Networks, Operations Research

List of publications

van den Brink, R., Levínský, R. and Zelený, M. (2020). The Shapley value, the Proper Shapley value, and sharing rules for cooperative ventures Operations Research Letters, 48(1):55--60.

van den Brink, R., He, S. and Huang, J.P. (2018). Polluted river problems and games with a permission structure Games and Economic Behavior, 108:182--205.

Álvarez-Mozos, M., van den Brink, R., van der Laan, G. and Tejada, O. (2017). From hierarchies to levels: new solutions for games with hierarchical structure International Journal of Game Theory, 46(4):1089--1113.

van den Brink, R., Dietz, C., van der Laan, G. and Xu, G. (2017). Comparable characterizations of four solutions for permission tree games Economic Theory, 63(4):903--923.

van den Brink, J.R., Chun, Y., Funaki, Y. and Park, B. (2016). Consistency, Population Solidarity, and Egalitarian Solutions for TU-Games Theory and Decision, 81(3):427--447.

van den Brink, J.R. and Pinter, M. (2015). On Axiomatizations of the Shapley Value for Assignment Games Journal of Mathematical Economics, 60(October):110--114.

van den Brink, J.R. and Funaki, Y. (2015). Axiomatization and Implementation of Discounted Shapley Values Social Choice and Welfare, 45(2):329--344.

van den Brink, J.R., Levinsky, R. and Zeleny, M. (2015). On proper Shapley values for monotone TU-games International Journal of Game Theory, 44(2):449--471.

van den Brink, J.R., Herings, J., van der Laan, G. and Talman, D. (2015). The Average Tree Permission Value for Games with a Permission Tree Economic Theory, 58(1):99--123.

van den Brink, J.R., Estevez Fernandez, M.A., van der Laan, G. and Moes, N. (2014). Independence of downstream and upstream benefits in river water allocation problems Social Choice and Welfare, 43(1):173--194.

van den Brink, J.R., Gonzalez-Aranguena, E., Manuel, C. and del Pozo, M. (2014). Order Monotonic Solutions for Genaralized Characteristic Functions European Journal of Operational Research, 238(3):786--796.

Ju, Y., Chun, Y. and van den Brink, J.R. (2014). Auctioning and Selling Positions: A Noncooperative Approach to Queueing Conflicts Journal of Economic Theory, 153(September):33--45.

van den Brink, J.R., van der Laan, G. and Vasil'ev, V. (2014). Constrained core solutions for totally positive games with ordered players International Journal of Game Theory, 43(2):351--368.

van den Brink, J.R. and Dietz, C. (2014). Games with a Local Permission Structure: Separation of Authority and Value Generation Theory and Decision, 76(3):343--361.

van den Brink, J.R., van der Laan, G. and Moes, N. (2013). A strategic implementation of the average tree solution for cycle-free graph games Journal of Economic Theory, 148(6):2737--2748.

van den Brink, J.R., Funaki, Y. and van der Laan, G. (2013). Characterization of the Reverse Talmud bankruptcy rule by Exemption and Exclusion properties European Journal of Operational Research, 228:413--417.

van den Brink, J.R., Rusinowska, A. and Steffen, F. (2013). Measuring Power and Satisfaction in Societies with Opinion Leaders: An Axiomatization Social Choice and Welfare, 41(3):671--683.

van den Brink, J.R., Funaki, Y. and Ju, Y. (2013). Reconciling Marginalism with Egalitarianism: Consistency, Monotonicity, and Implementation of Egalitarian Shapley Values Social Choice and Welfare, 40:693--714.

Alvarez-Mozos, M., van den Brink, J.R., van der Laan, G. and Tejada, O. (2013). Share Functions for Cooperative Games with Levels Structure of Cooperation European Journal of Operational Research, 224(1):167--179.

Slikker, M., Borm, P. and van den Brink, J.R. (2012). Internal Slackening Scoring Methods Theory and Decision, 72:445--462.

van den Brink, J.R. and Steffen, F. (2012). Axiomatizations of a Positional Power Score and Measure for Hierarchies Public Choice, 151:757--787.

van den Brink, J.R. and Chun, Y. (2012). Balanced Consistency and Balanced Cost Reduction for Sequencing Problems Social Choice and Welfare, 38:519--529.

van den Brink, J.R. (2012). On Hierarchies and Communication Social Choice and Welfare, 39(4):721--735.

van den Brink, J.R. (2012). Efficiency and Collusion Neutrality in Cooperative Games and Networks Games and Economic Behavior, 76(1):344--348.

van den Brink, J.R., van der Laan, G. and Moes, N. (2012). Fair agreements for sharing international rivers with multiple springs and externalities Journal of Environmental Economics and Management, 63(3):388--403.

van den Brink, J.R., Khmelnitskaya, A. and van der Laan, G. (2012). An Efficient and Fair Solution for Communication Graph Games Economics Letters, 117(3):786--789.

van den Brink, J.R., Katsev, I. and van der Laan, G. (2011). A Polynomial Time Algorithm for Computing the Nucleolus for a Class of Disjunctive Games with a Permission Structure International Journal of Game Theory, 40:591--616.

van den Brink, J.R., van der Laan, G. and Pruzhansky, V. (2011). Harsanyi power solutions for graph-restricted games International Journal of Game Theory, 40(1):87--110.

van den Brink, J.R., Katsev, I. and van der Laan, G. (2011). Axiomatizations of two types of Shapley values for games on union closed systems Economic Theory, 47(1):175--188.

van den Brink, J.R., Katsev, I. and van der Laan, G. (2010). An algorithm for computing the nucleolus of disjunctive games with an acyclic permission structure European Journal of Operational Research, 207:817--826.

van den Brink, J.R. (2010). Axiomatizations of Banzhaf Permisson Values for Games with a Hierarchical Permission Structure. International Journal of Game Theory, 39:445--466.

van den Brink, J.R. and Funaki, Y. (2009). Axiomatizations of a class of equal surplus sharing solutions for TU-games Theory and Decision, 67:303--340.

van den Brink, J.R. and Gilles, R. (2009). The outflow ranking method for weighted directed graphs European Journal of Operational Research, 193:484--491.

van den Brink, J.R. (2008). Vertical Wage Differences in Hierarchically Structured Firms Social Choice and Welfare, 30:225--243.

van den Brink, J.R., Borm, P., Hendrickx, R. and Owen, G. (2008). Characterizations of the Beta and the Degree Network Power Measure Theory and Decision, 64:519--536.

van den Brink, J.R., van der Laan, G. and Vasil'ev, V. (2008). Extreme Points of Two Digraph Polytopes: Description and Applications in Economics and Game Theory Journal of Mathematical Economics, 44:1114--1125.

van den Brink, J.R., van der Laan, G. and Vasil'ev, V. (2007). Component efficient solutions in line-graph games with applications Economic Theory, 33:349--364.

van den Brink, J.R. (2007). Null or Nullifying Players: The Difference between the Shapley Value and Equal Division Solutions Journal of Economic Theory, 136:767--775.

van den Brink, J.R. and van der Laan, G. (2005). A class of consistent share functions for cooperative games in coalition structure Games and Economic Behavior, 51:193--212.

Borm, P., van den Brink, J.R., Levinsky, R. and Slikker, M. (2004). On two New Social Choice Correspondences Mathematical Social Sciences, 47:51--68.

van den Brink, J.R. (2002). The apex power measure for directed networks Social Choice and Welfare, 19:845--867.

van der Laan, G. and van den Brink, J.R. (2002). A Banzhaf share function for cooperative games in coalition structure Theory and Decision, 53:61--86.

van den Brink, J.R. and Borm, P. (2002). Digraph Competitions and Cooperative Games Theory and Decision, 53:327--342.

van den Brink, J.R. and van der Laan, G. (2001). Core concepts for share vectors Social Choice and Welfare, 18:759--784.

van den Brink, J.R. (2001). An Axiomatization of the Shapley value using a fairness property International Journal of Game Theory, 30:309--319.

van den Brink, J.R. and van der Laan, G. (1998). Axiomatizations of the normalized Banzhaf value and the Shapley value Social Choice and Welfare, 15:567--582.

van der Laan, G. and van den Brink, J.R. (1998). An axiomatization of a class of share functions for n-person games Theory and Decision, 44:117--148.

van den Brink, J.R. (1997). An axiomatization of the disjunctive permission value for games with a permission structure International Journal of Game Theory, 26:27--43.

van den Brink, J.R. and Gilles, R. (1996). Axiomatizations of the Conjunctive Permission Value for Games with Permission Structure Games and Economic Behavior, 12:113--126.