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Mathematical Programming and Economic Theory

Herbert E. Scarf

Operations Research · 1990 · Volume 38 · Issue 3

DOI: 10.1287/opre.38.3.377

Abstract

This paper, which is based on the remarks offered during a plenary address at the May 1989 CORS/TIMS/ORSA meeting in Vancouver, discusses the analogy between economic institutions and algorithms for solving mathematical programming problems. The simplex method for solving linear programs can be interpreted as a search for market prices that equilibrate the demand for factors of production with their supply. A possible interpretation in terms of the internal organization of a large firm is offered for Lenstra's integer programming algorithm.

Keywords

programming, mathematical: the relationship between algorithms and economic institutions

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