René van den Brink (1964)

Name
van den Brink, Johannes René

Date of birth
8-10-1964

Department of Econometrics
VU University
De Boelelaan 1105
1081 HV  Amsterdam
The Netherlands
Telephone: +31 20 5985483
Fax: +31 20 4446020
E-mail: jrbrink@feweb.vu.nl

 

Ph.D.
1994, Tilburg University, "Relational Power in Hierarchical Organizations".

 

Publications in journals

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

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

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

 

(2015) Brink, R. van den, G. van der Laan, and N. Moes, ''Two Values for Transferable Utility Games with Coalition and Graph Structure'', TOP, 23, 77-99.

 

(2015) Algaba, E., J.M. Bilbao and R. van den Brink, The Harsanyi Power Solutions for Games on Union Stable Systems’’, Annals of Operations Research, 225, 27-44.

 

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

 

(2015) Xu, G., R. van den Brink, G. van der Laan, and H. Sun, Associated Consistency Characterization of Two Linear Values for TU Games by Matrix Approach’’, Linear Algebra and its Applications, 471, 224–240.

 

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

 

(2014) Brink, R. van den, and C. Dietz, Union Values for Games with Coalition Structure’’, Decision Support Systems 66, 1–8. 

 

(2014) Brink, R. van den, A. Estevez-Fernandez, G. van der Laan, and N. Moes, Independence Axioms for Water Allocation’’, Social Choice and Welfare, 43, 173-194.

 

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

 

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

 

(2014) Brink, R. van den, G. van der Laan, and V. Vasil’ev,  Constrained Core Solutions for Totally Positive Games with Ordered Players'', International Journal of Game Theory, 43, 351-368.

(2013) Brink, R. van den, G. van der Laan, and N. Moes, A Strategic Implementation of the Average Tree Solution for Cycle-Free Graph Games’’, Journal of Economic Theory, 148, 2737-2748.

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

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

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

(2013) Brink, R. van den, Y. Funaki, and G. van der Laan, ''Characterization of the Reverse Talmud Bankruptcy Rule by Exemption and Exclusion Properties'', European Journal of Operational Research 228, 413-417.

(2013) Manuel, C., E. Gonzalez-Aranguena, E., and R. van den Brink, ''Players Indifferent to Cooperate and Characterizations of the Shapley Value'', forthcoming in Mathematical Methods of Operations Research, 77, 1-14.

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

(2012) Algaba, E., J.M. Bilbao, R. van den Brink and J.J. Lopez, The Myerson Value and Superfluous Supports in Union Stable Systems’’, Journal of Optimization Theory and Applications, 155, 650-668.

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

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

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

(2012) Brink, R. van den, G. van der Laan, and N. Moes, ''Fair Agreements for Sharing International Rivers with Multiple Springs and Externalities'', Journal of Environmental Economics and Management, 63, 388-403.

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

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

(2011) Brink, R. van den, I. Katsev, and G. van der Laan, ''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.  

(2011) Brink, R. van den, I. Katsev, and G. van der Laan, “Axiomatizations of Two Types of Shapley Values for Games on Union Closed Systems'', Economic Theory, 47, 175-188.

(2011) Brink, R. van den, A. Rusinowska, and F. Steffen, “Measuring Power And Satisfaction in Societies with Opinion Leaders: Dictator and Opinion Leader Properties”,  Homo Oeconomicus, 28, 161-185.

(2011) Brink, R. van den, G. van der Laan, and V. Pruzhansky, ''Harsanyi Power Solutions for Graph-restricted Games'', International Journal of Game Theory, 40, 87-110.

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

(2010) Brink, R. van den, I. Katsev, and G. van der Laan, ''An Algorithm for Computing the Nucleolus of Disjunctive Non-negative Additive Games with An Acyclic Permission Structure'', European Journal of Operational Research, 207, 817-826.

(2009) Brink, R. van den, and Y. Funaki, ''Axiomatizations of a Class of Equal Surplus Sharing Solutions for TU-Games'', Theory and Decision, 67, 303-340.

(2009) Brink, R. van den, and R.P. Gilles, ''The Outflow Ranking Method for Weighted Directed Graphs'', European Journal of Operational Research, 193, 484-491. 

(2009) Hendrickx,R., P. Borm, R. van den Brink, and G. Owen, ''The VL Value for Network Games'', Social Networks, 31, 85-91.

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

(2008) Brink, R. van den, and P.H.M. Ruys, ''Technology Driven Organizational Structure of the Firm'', Annals of Finance, 4, 481-503.

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

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

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

(2007) Brink, R. van den, and G. van der Laan,  ''Potentials and Reduced Games for Share Functions'', Discrete Mathematics, 307, 2385-2399.  

(2007) Brink, R. van den, G. van der Laan, and V. Vasil’ev,  ''Component Efficient Solutions in Line-Graph Games with Applications'', Economic Theory, 33, 349-364.

(2005) Brink, R. van den, and G. van der Laan, ''A Class of Consistent Share Functions for Cooperative Games in Coalition Structure'', Games and Economic Behavior, 51, 193-212. 

(2004) Algaba, E., J.M. Bilbao, R. van den Brink, and A. Jiménez-Losada , ''Cooperative Games on Antimatroids'',  Discrete Mathematics, 282, 1-15.

(2004) Algaba, E., J.M. Bilbao, R. van den Brink, and A. Jiménez-Losada, ''An Axiomatization of the Banzhaf Value for Cooperative Games on Antimatroids'', Mathematical Methods of Operations Research, 59, 147-166.

(2004) Borm, P., R. van den Brink, R. Levínský, and M. Slikker , ''On Two New Social Choice Correspondences'', Mathematical Social Sciences, 47, 51-68.

(2003) Brink, R. van den, and R.P. Gilles, ''Ranking by Outdegree for Directed Graphs'', Discrete Mathematics, 271, 261-270.

(2003) Algaba, E., J.M. Bilbao, R. van den Brink, and A. Jiménez-Losada, ''Axiomatizations of the Shapley Value for Cooperative Games on Antimatroids'', Mathematical Methods of Operations Research, 75, 49-65.

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

(2002) Brink, R.van den,  ''The Apex Power Measure for Directed Networks'', Social Choice and Welfare, 19, 845-867.

(2002) Laan, G. van der, and R. van den Brink, ''A Banzhaf Share Function for Cooperative Games in Coalition Structure'', Theory and Decision, 53, 61-86.

(2002) Borm, P., R. van den Brink, and M. Slikker, ''An Iterative Procedure for Evaluating Digraph Competitions'', Annals of Operations Research, 109, 61-75.

(2001) Brink, R.van den,  "An Axiomatization of the Shapley Value using a Fairness Property", International Journal of Game Theory, 30, 309-319.

(2001) Brink, R. van den, and G. van der Laan, "Core Concepts for Share Vectors" , Social Choice and Welfare, 18, 759-784.

(2000), Brink, R. van den, and R.P. Gilles, ''Measuring Domination in Directed Networks'', Social Networks, 22, 1141-157.

(1999), Brink, R. van den, and G. van der Laan, ''The Normalized Banzhaf Value and the Banzhaf Share Function, International Journal of Mathematics, Game Theory and Algebra, 9, 65-84.

(1998) Brink, R. van den, and G. van der Laan, ''Axiomatizations of the Normalized Banzhaf Value and the Shapley Value'', Social Choice and Welfare, 15, 567-582.

(1998) Laan, G. van der, and R. van den Brink, ''Axiomatizations of a Class of Share Functions for N-Person Games'', Theory and Decision 44, 117-148.

(1997) Brink, R.van den, ''An Axiomatization of the Disjunctive Permission Value for Games with a Permission Structure'', International Journal of Game Theory 26, 27-43.

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

(1992) Gilles, R.P., G. Owen, and R. van den Brink, ''Games with Permission Structures: the Conjunctive Approach'', International Journal of Game Theory 20, 277-293.

 

Forthcoming publications

Brink, R. van den, Y. Chun, Y. Funaki, and B. Park, Consistency, Population Solidarity, and Egalitarian Solutions for TU-Games’’, forthcoming in Theory and Decision.

Brink, R. van den, C. Dietz, G. van der Laan and G. Xu, ''Comparable Characterizations of Four Solutions for Permission Tree Games'', forthcoming in Economic Theory.

 

Brink, R. van den, A. Khmelnitskaya, and G. van der Laan, “An Owen-Type Value for Games with Two-Level Communication Structures”, forthcoming in Annals of Operations Research.

 

Publications in books and proceedings

(2014) Brink, R. van den, and F. Steffen, “On the Measurement of Success and Satisfaction”, in Voting Power and Procedures: Essays in Honour of Dan Felsenthal and Moshé Machover, (eds. R. Fara, D. Leech, and M. Salles), pp 41-64.

(2008) Brink, R. van den, and F. Steffen,  ''Positional Power in Hierarchies'', in: Power, Freedom and Voting (eds. M. Braham and F. Steffen), Springer, pp 57-81.

(2000) Ruys, P.H.M., R. van den Brink, and R. Semenov, ''Values and Governance Systems'', in: Institutions, Contracts, Organizations: Perspectives from New Institutional Economics, (ed. C. Menard), Edward Elgar Publishing Co., pp 422-446.

(1999) Brink, R. van den , ''An Axiomatization of the Conjunctive Permission Value for Games with a Hierarchical Permission Structure'', in: Logic, Game Theory and Social Choice (ed. H. de Swart), pp. 125-139.

(1999) Ruys, P.H.M., and R. van den Brink, ''Positional Abilities and Rents on Equilibrium Wages and Profits'', in: The Theory of Markets, (eds. J.J. Herings, G. van der Laan, and A.J.J. Talman), North-Holland, pp. 261-279.

(1994) Brink, R. van den, and R.P. Gilles, ''A Social Power Index for Hierarchically Structured Populations of Economic Agents'',. In: Gilles, R.P., and Ruys, P.H.M. (Eds.), Imperfections and Behaviour in Economic Organizations. (pp. 279-318). Kluwer: Dordrecht.

 

Discussion papers

(2015) Brink, R. van den, J-P. Huang and S. He, Polluted River Problems and Games with a Permission Structure'', Tinbergen Discussion Paper 15-108/II, Tinbergen Institute and VU University, Amsterdam.

 

(2015) Algaba, E., R. van den Brink, and C. Dietz, ''Power Measures and Solutions for Games under Precedence Constraints'', Tinbergen Discussion Paper  15-007/II, Tinbergen Institute and VU University, Amsterdam.

(2013) Algaba, E., R. van den Brink, and C. Dietz, ''Cooperative Games on Accessible Union Stable Systems'', Tinbergen Discussion Paper 13/207-II, Tinbergen Institute and VU University, Amsterdam.

(2011) Brink, R. van den, I. Katsev, and G. van der Laan, ''Games on Union Closed Systems'', Tinbergen Discussion Paper 11/036-1, Tinbergen Institute and VU University, Amsterdam.

(2009) Brink, R. van den, "Comparable Axiomatizations of the Myerson Value, the Restricted Banzhaf Value, Hierarchical Outcomes and the Average Tree Solution for Cycle-Free Graph Restricted Games'', Tinbergen Discussion Paper 09/108-1, Tinbergen Institute and Free University, Amsterdam.

(2009) Brink, R. van den, Efficiency and Collusion Neutrality of Solutions for Cooperative TU-Games'', Tinbergen Discussion Paper 09/065-1, Tinbergen Institute and Free University, Amsterdam.

(2008) Gonzalez-Aranguena, E., C. Manuel, D. Gomez, and R. van den Brink, ''A Value for Directed Communication Situations'', Tinbergen Discussion Paper 08/006-1, Tinbergen Institute and Free University, Amsterdam.

(2006) Brink, R. van den, G. van der Laan, and V. Vasil’ev,  ''Distributing Dividends in Games with Ordered Players'', Tinbergen Discussion Paper 06/114-1, Tinbergen Institute and Free University, Amsterdam.

(2003) Brink, R. van den, and R.P. Gilles, ,''Explicit and Latent Authority in Hierarchical Organizations'', Tinbergen Discussion Paper 03/102-1, Tinbergen Institute and Free University, Amsterdam.

(1999) Brink, R. van den, P.H.M. Ruys, and R. Semenov, ''Governance of Clubs and Firms with Cultural Dimensions'', CentER Discussion Paper 99101, Tilburg University.