Retrospectives
Lionel W. McKenzie and the Proof of the Existence of a Competitive EquilibriumAuthor: Weintraub, E. Roy
Source: The Journal of Economic Perspectives, Volume 25, Number 2, Spring 2011 , pp. 199-215(17)
Publisher: American Economic Association
Abstract:
The theorem proving the existence of general equilibrium in a competitive economy, which necessarily involved specifying the conditions under which such an equilibrium would exist, is an extraordinary achievement of twentieth-century economics. The discovery is commonly attributed to a paper by (eventual) Nobel Prize winners Kenneth Arrow and Gerard Debreau: “Existence of an Equilibrium for a Competitive Economy,” published in the July 1954 issue of Econometrica. However it is less well-known that Lionel McKenzie published a paper in the previous issue of Econometrica, “On Equilibrium in Graham's Model of World Trade and Other Competitive Systems,” that discussed many of the same themes. Both papers established the existence of a competitive equilibrium for suitable general equilibrium models and employed fixed point theorem arguments. McKenzie had priority in publication in 1954 and received credit for simultaneous discovery in prominent sources around that time. But over the years, McKenzie's role in creating the proof of the existence of a general equilibrium seems to have faded from the collective consciousness of the economics profession. Newly available archival material permits a reexamination of the events surrounding the publication of both Econometrica papers in 1954. The story raises general issues concerning “simultaneous discovery,” “priority,” and “credit” in economic research and opens a window into some academic practices of that time.Document Type: Research article
DOI: http://dx.doi.org/10.1257/jep.25.2.199
Publication date: 2011-03-01
- The Journal of Economic Perspectives (JEP) attempts to fill a gap between the general interest press and most other academic economics journals. The journal aims to publish articles that will serve several goals: to synthesize and integrate lessons learned from active lines of economic research; to provide economic analysis of public policy issues; to encourage cross-fertilization of ideas among the fields of thinking; to offer readers an accessible source for state-of-the-art economic thinking; to suggest directions for future research; to provide insights and readings for classroom use; and to address issues relating to the economics profession.
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