Born in the Upper Peninsula of Michigan. BS in math from Michigan Technological University. PhD (math) Purdue. Postdoctoral in Astronomy Dept, Yale. 32 years on math faculty Northwestern University (Dept chair, Pancoe Professorship, honorary member of Econ and of Applied Math). Moved to UCI in 2000; Distinguished Prof of Math and of Econ, honorary of Logic and Philosophy of Science. Director till retirement in 2017 of Institute for Mathematical Behavioral Science. In addition to NAS, Fellow of American Academy AS, Fellow oa Amer Assoc AS, elected foreign member os RAS and of Finnish Academy of Science and Letters.

Research Interests

Voting theory, Game theory, celestial mechanics with current emphasis on dark matter.

Membership Type


Election Year


Primary Section

Section 32: Applied Mathematical Sciences

Secondary Section

Section 54: Economic Sciences