Hugo F. Sonnenschein,
A prominent Walrasian theorist, his various contributions to
economics are dominated by one shattering result: the Debreu-
Sonnenschein-Mantel Theorem. First explored by Sonnenschein in two
papers (1972, 1973) and then followed up by similar papers by Debreu (1972) and Mantel (1974), the DSM
Theorem claims that market demand functions, upon which all the
"intuitive" results of market-level and macro-level economics rest,
are essentially shapeless. It essentially destroyed the
"foundations" project of economic theory, i.e. to describe demand
and supply as a result of the decentralized utility-maximizing
agents.
The DSM theorem provides the following result: even if
everybody has nicely-shaped individual demand functions, we
cannot say that the market demand function will possess a
nice shape too. Thus, the efforts that have been made in the last
century to describe demand as a result of utility-maximization are
essentially wasted - for the desired result
Sonnenschein is presently the President of the University of
Chicago. It is unknown whether his decision to move away from
academic research and into this administrative post is in any way
related to the depressing implications of his famous theorem.
- Information on H. Sonnenschein,
Major Works of Hugo Sonnenschein
- "The Relationship Between Transitive Preferences and the
Structure of Choice Space", 1965, Econometrica.
- "Demand Theory without Transitive Preferences", 1971, in
Chipman et al., editors, Preferences, Utility and Demand.
- "Market Excess Demand Functions", 1972, Econometrica.
- "Do Walras' Identity and Continuity Characterize a Class of
Community Excess Demand Functions?", 1973, JET.
- "The Utility Hypothesis and Market Demand Theory", 1973,
Western EJ.
- "Equilibrium in Abstract Economies without Ordered
Preferences", with Wayne Shafer, 1975, JMathE.
- "Equilibrium with Externalities, Commodity Taxation
and Lump-Sum Transfers", with W. Shafer,
1976, IER
- "The Demand Theory of the Weak Axiom of Revealed Preference",
with Kihlstrom and Mas-Colell, 1976, Econometrica.
- "On the Foundations of the Theory of Monopolistic
Competition", with John Roberts, 1977, Econometrica.
- "Two Proofs of the Gibbard-Satterhwaite Theorem
on the Possibility of a Strategy-Proof Social Choice Function",
with D. Schmeidler, 1978, in Gottinger and
Leinfellner, editors, Decision Theory and Social Ethics.
- "Cournot and Walras Equilibrium", with William
Novshek, 1978, JET.
- "Small Efficient Scale as a Foundation for Walrasian
Equilibrium", with W. Novshek,
1980, JET.
- "Market Demand and Excess Demand Functions", with Wayne
Shafer, 1982, in Arrow and Intriligator, Handbook of
Mathematical Economics, Vol. II.
- "Sequential Bargaining as a Non-Cooperative Foundation for Walrasian Equilibrium",
with A. McLennan, 1991, Econometrica
Resources on Hugo Sonnenschein