1962 Pre-Diploma in Mathematics (BSc), University of Marburg
1965 Diploma in Mathematics (MSc), University of Göttingen
1967 PhD, University of Erlangen/Nürnberg
1971 Habilitation in Mathematics (Second Doctorate), University of
Erlangen/Nürnberg
1964 - 1967 DFG (NSF) Projects at the Universities of Göttingen and
Erlangen/Nürnberg
1967 - 1968 Amanuensis (Visiting Assitant Professor) University of
Aarhus, Denmark
1968 - 1969 Visiting Assistant Professor, University of Minnesota,
Mineapolis, Minnesota, USA
1969 - 1970 Visiting Assitant Professor, University of British Columbia,
Vancouver, British Columbia, Canada
1972 - 1978 Full Professor of Mathematical Economics, University of
Karlsruhe
1978 - Full Professor of Mathematical Economics, University of
Bielefeld
1984 - Director, Institute of Mathematical Economics, University of
Bielefeld
Research Interests:
Game Theory
Decision Theory
General Equilibrium
Bargaining
Stochastic Optimization
Stochastic Dynamic Programming
Algorithms and Recursive Procedures; Implementation
Non-additive set functions;
Probability and Uncertainty
Formel Epistemology in the Economic Context
Editorial Board:
International Journal of Game Theory (IJGT) (Editor in Chief 1989 - 1994)
Mathematics of Operations Research (MOR)
Games and Economic Behavior (GEB)
Mathematical Methods of Operations Research (ZOR)
Theory and Decision Library (Series C)
Methods of Operations Research
Mathematical Systems and Economics
Scientific Societies:
Deutsche Mathematiker Vereinigung (DMV)
Gesellschaft für Angewandte Mathematik und Mechanik (GAMM)
Game Theory Society
List of Recent Publications (1990 - ...)
Discrete concepts in N-person game theory: nondegeneracy and homogeneity. Game Theory and Applications, Proceedings of the 1987 International Conference, Ohio State University, Columbus, Ohio.
(Edited by T.Ichiishi, A.Neyman, Y.Tauman). Academic Press Inc., New York, 1990, ISBN 0-12-370182-1.
Finite convergence of the core in a piecewise linear market game. Understanding Strategic Interaction, (Editors W.Albers, W.Güth, P.Hammerstein, B.Moldovanu, E.van Damme),
Essays in Honor of Reinhard Selten, Springer Verlag, 1996, ISBN 3-540-61490-7, pp.286-304.
Cooperative games with incomplete information. Transactions of the Eleventh Prague Conference on Information Theory, Statistical Decision Functions, and Random Processes 1990.
Vol.A, pp.211-250, Academia Prague / Kluwer Academic Publishers. ISBN 80-200-0398-3 / 0-7923-1118-3.
Implementing the modified LH-algorithm. (Joint work with I.Krohn, S.Moltzahn, P.Sudhölter, H.-M.Wallmeier),
Applied Mathematics and Computations, Vol.45, No.1, Part I, 1991,
pp.31-72.
Fee Games: (N)TU-games with incomplete information. Rational Interaction, Essays in Honor of John C. Harsanyi.
(Edited by R.Selten), Springer Verlag Berlin-Heidelberg, 1992, pp.53-81, ISBN 3-540-55067-4.
The least-core, nucleolus, and kernel of homogeneous weighted majority games. (Joint work with B.Peleg, Jerusalem, Israel),
Games and Economic Behavior, Vol.4, No.4, 1992, pp.588-605.
The nucleolus of homogeneous games with steps. (Joint work with P.Sudhölter),
Discrete Applied Mathematics, Vol.50, 1994, pp.53-76
The kernel of homogeneous games with steps. (Joint work with B.Peleg and P.Sudhölter),
Essays in Game Theory in Honor of Michael Maschler.
(Edited by Nimrod Megiddo), Springer Publishers, 1994, pp.163-192, ISBN 0-387-94224-6, ISBN 3-540-94224-6.
Representation of CII-games and the expected contract value. Working paper Nr.215. Institute of Mathematical Economics, University of Bielefeld, 1992, 46pp
Bargaining with incomplete information - An axiomatic approach. Theory and Decision, Vol.42, 1997, pp.105-146.
Nobelpreis für Wirtschaftswissenschaften - Die Spieltheorie wird hoffähig. Spektrum der Wissenschaft, November 1994
The Shapley Value for Countably Many Players. (joint work with D.Pallaschke),
Optimization, Vol.40, 1997, pp.351-384.
Mechanisms in the Core of a Fee Game Mathematische Methoden der Wirtschaftswissenschaften. (W. Gaul and M. Schader, Editors), Physica Verlag, Heidelberg, 1999, ISBN 3-7908-1208-0.
Cartels via the Modiclus (joint work with P.Sudhölter),
Working paper Nr.320. Institute of Mathematical Economics,
University of Bielefeld, 2000. 47 pp.
Game Theory (joint work with W.Trockel),
Working paper Nr.321. Institute of Mathematical Economics,
University of Bielefeld, 2001. 56 pp.
, (To appear in: The Encyclopedia of
Life Support Systems (EOLSS) of the UNESCO)