David Schmeidler

David Schmeidler
Name	David Schmeidler
Birth date	1939
Birth place	Tel Aviv, Mandatory Palestine
Nationality	Israeli
Alma mater	Hebrew University of Jerusalem
Known for	Non-atomic game theory; Choquet expected utility; ambiguity aversion
Fields	Mathematics; Economics; Game theory; Decision theory
Institutions	Hebrew University of Jerusalem; Tel Aviv University

David Schmeidler was an Israeli mathematician and economist known for foundational work in decision theory, game theory, and the formal treatment of ambiguity. He developed key models and axioms that influenced research on utility, risk, and nonprobabilistic beliefs, shaping discussions in mathematical economics and behavioral finance. Schmeidler held academic posts in Israeli and international institutions and received recognition for contributions to expected utility theory, cooperative games, and non-atomic games.

Early life and education

Schmeidler was born in Tel Aviv in the period of the British Mandate and pursued his undergraduate and doctoral studies at the Hebrew University of Jerusalem, where he trained in mathematics and economic theory under mentors associated with the Israeli school of mathematical economics. He completed advanced work that connected mathematical analysis used by scholars at Princeton University, Harvard University, and University of Chicago with problems studied by researchers at Tel Aviv University and Stanford University. His formative influences included the work of John von Neumann, Oskar Morgenstern, Leonid Hurwicz, and Kenneth Arrow.

Academic career and positions

Schmeidler served on the faculty of the Hebrew University of Jerusalem and held visiting appointments at institutions such as Stanford University, Princeton University, Massachusetts Institute of Technology, London School of Economics, and University of California, Berkeley. He collaborated with scholars affiliated with Tel Aviv University, Columbia University, Yale University, New York University, and Cornell University. Schmeidler participated in conferences sponsored by organizations like the Econometric Society, the American Economic Association, the Society for Mathematical Psychology, and the International Economic Association. He engaged with research networks connected to RAND Corporation, Centre for Economic Policy Research, and institutes linked to European University Institute.

Major contributions and theories

Schmeidler is best known for introducing the concept of non-atomic games and for formalizing Choquet expected utility representations of preferences under ambiguity. His 1989 axiomatization built on earlier ideas by Gustave Choquet, Leonid Kantorovich, and Ludwig von Mises, establishing a representation theorem using nonadditive measures (capacities) related to work by Ilya Kolmogorov and Andrey Kolmogorov on probability foundations. Schmeidler's models of ambiguity aversion interacted with approaches developed by Daniel Ellsberg, Frank Knight, Maurice Allais, and John Harsanyi, clarifying distinctions between risk and ambiguity in decision contexts. He contributed to cooperative game theory through analysis of the core, leveraging concepts introduced by Thomas Schelling, Lloyd Shapley, Harold Kuhn, and John Nash, and expanded the theory of nonatomic games following lines from Ariel Rubinstein and Robert Aumann. His work influenced later developments by Amos Tversky, Daniel Kahneman, Hersh Shefrin, Raghuram Rajan, and scholars in behavioral economics and finance.

Schmeidler's research linked measure-theoretic methods from Paul Halmos, Henri Lebesgue, and Andrey Kolmogorov to applied problems treated at Bell Labs and in academic departments at University of Cambridge and University of Oxford. He provided tools for modeling incomplete preferences that resonated with studies by Peter Hammond, Kenneth Binmore, Bengt Holmström, and Eric Maskin. His formulations found application in mechanism design, auction theory, and social choice theory as advanced by William Vickrey, Roger Myerson, Amartya Sen, and Kenneth Arrow.

Selected publications

- "Expected Utility without the Independence Axiom" (seminal article formalizing nonadditive measures and Choquet integral representation), influencing work by Gustave Choquet and Daniel Ellsberg. - Papers on non-atomic game theory that extended ideas by John Nash and Robert Aumann. - Articles linking cooperative solution concepts, including the core, to nonatomic economies, reflecting debates involving Lloyd Shapley and Thomas Schelling. - Contributions to ambiguity aversion literature that engaged with models by Daniel Kahneman and Amos Tversky and elicitation methods used in behavioral experiments at Princeton University and Yale University. - Methodological works applying measure theory from Paul Halmos and integration theory from Henri Lebesgue to economic decision models discussed in venues such as the Econometric Society and American Economic Association meetings.

Awards and honors

Schmeidler received recognition from professional societies including the Econometric Society and national academies associated with institutions like the Israel Academy of Sciences and Humanities and participated in prize juries and editorial boards linked to journals published by Elsevier, Oxford University Press, and Cambridge University Press. He was invited to deliver lectures at distinguished venues such as Princeton University, Harvard University, London School of Economics, and the Institute for Advanced Study. His work has been cited in award-winning research by scholars affiliated with Nobel Prize-winning schools and recipients such as Daniel Kahneman and Robert Aumann.

Personal life and legacy

Schmeidler lived in Israel and maintained lifelong connections with the intellectual communities at Hebrew University of Jerusalem and Tel Aviv University. His theoretical contributions shaped curricula at departments of Economics Department, Hebrew University of Jerusalem, courses at Stanford Graduate School of Business, and seminars at University of Chicago Booth School of Business. Scholars across fields—mathematics, economics, psychology—continue to cite and build upon his models in work at institutions like Columbia Business School, London Business School, and research centers such as NBER and CEPR. His legacy persists through students and collaborators who hold positions at universities including Yale University, Princeton University, MIT, and Oxford University.

Category:Israeli mathematicians Category:Israeli economists Category:Decision theorists