1957 Master's thesis in mathematics at the Johann-Wolfgang-Goethe-University
in Frankfurt, Federal Republic of Germany
1957-67 Research assistant to Professor Sauermann at Frankfurt University
1961 Ph.D. thesis (mathematics) at Frankfurt University
1967-68 Visiting Full Professor, School of Business Administration,
University of California, Berkeley
1968 Habilitation thesis for economics at Frankfurt University
1969-72 Full professor of economics at the Free University of Berlin
1972-84 Full professor at the Institute for Mathematical Economics of the
University of Bielefeld
1984 Full professor at the University of Bonn, Department of Economics
1989 Honorary doctoral degree in economics of the University of Bielefeld
1991 Honorary doctoral degree in economics of the University of Frankfurt/Main
Main interests of researchMemberships