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René van den
Brink (1964)
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Name
van den Brink, Johannes René
Date of birth
8-10-1964
Department of Econometrics
Free 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,
Publications in journals
(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'',
(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)
(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)
(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)
Forthcoming publications
Brink, R. van den, G. van der Laan, and V. Pruzhansky, ''Harsanyi Power Solutions for Graph-restricted
Games'', forthcoming in International
Journal of Game Theory.
Publications in books and proceedings
(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:
Discussion papers
(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.
(2009) Brink, R. van den, I. Katsev, and G. van der Laan, Axiomatizations of Two Types of Shapley Values for Games on Union Closed Systems'', Tinbergen Discussion Paper 09/064-1, Tinbergen Institute and Free University, Amsterdam.
(2009) Brink, R. van den, A. Rusinowska, and F. Steffen, Measuring Power And Satisfaction in Societies with Opinion Leaders: Dictator and Opinion Leader Properties'', Tinbergen Discussion Paper 09/052-1, Tinbergen Institute and Free University, Amsterdam.
(2009) Brink, R. van den, G. van der Laan, and V. Vasil’ev, The Restricted Core for Totally Positive Games with Ordered Players'', Tinbergen Discussion Paper 09/038-1, Tinbergen Institute and Free University, Amsterdam.
(2008) Brink, R. van den, and F. Steffen, ''Axiomatizations of a Positional Power Score and Measure for Hierarchies'', Tinbergen Discussion Paper 08/115-1, Tinbergen Institute and Free University, Amsterdam.
(2008) Brink, R. van den, I. Katsev, and G. van der Laan, ''An Algorithm for Computing the Nucleolus of Disjunctive Additive Games with An Acyclic Permission Structure'', Tinbergen Discussion Paper 08/104-1, Tinbergen Institute and Free University, Amsterdam.
(2008) Brink, R. van den, I. Katsev, and G. van der Laan, ''Computation of the Nucleolus for a Class of Disjunctive Games with a Permission Structure'', Tinbergen Discussion Paper 08/060-1, Tinbergen Institute and Free University, Amsterdam.
(2008) Brink, R. van den, Y. Funaki, and G. van der Laan, ''The Reverse Talmud Rule for Bankruptcy Problems'', Tinbergen Discussion Paper 08/026-1, 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.
(2007) Brink, R. van den, R. Levinsky, and M. Zeleny, ''The Balanced
Solution for Co-operative Transferable Utility Games'', Tinbergen Discussion Paper 07/073-1, Tinbergen Institute and
Free University,
(2007) Brink, R. van den, Y. Funaki, and Y. Ju, ''Consistency,
Monotonicity and Implementation of Egalitarian Shapley Values'', Tinbergen Discussion Paper 07/062-1,
Tinbergen Institute and Free University,
(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.
(2006) Brink, R. van den, ''On Hierarchies and Communication'', Tinbergen Discussion Paper 06/056-1, 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,
(2000) Brink, R. van den, ''Banzhaf Permission Values for Games with a Permission Structure'', Technical Report 341, Department of Mathematics, University of Texas at Arlington, USA.
(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.
Game Theory, Jyvaskyla Summer
School, 2008
Slides Lecture 1
Slides Lecture 2
Slides Lecture 2 (part 2)
Slides Lecture 3
Slides Lecture 4
Slides Lecture 5
Solutions Exam 15-8-2008
References of Lectures 3, 4 and 5