General Equilibrium with Uncertainty: The Work of Kenneth Arrow

Author(s):  
Graciela Chichilnisky
2011 ◽  
Vol 25 (2) ◽  
pp. 199-215 ◽  
Author(s):  
E. Roy Weintraub

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.


2010 ◽  
pp. 39-55
Author(s):  
M. Ellman

This article is an overview of the contribution made by economic Sovietology to mainstream economics. The long debate about the universal applicability of mainstream economics is reconsidered in the light of the Soviet experience. Information is provided on the contribution of the study of the Soviet economy to fields as diverse as the measurement of economic growth, institutional economics, economic administration, the economics of property rights, the economics of the informal sector, the economics of famines, the Austrian critique of general equilibrium theory, and incentives.


2010 ◽  
pp. 4-23 ◽  
Author(s):  
K. Arrow

The article considers the evolution of some branches of modern economic theory from the perspective of the authors biography as a scientist and his professional formation. It describes problems of econometrics, general equilibrium theory, uncertainty, economics of information, and growth. It is shown how different authors representing various fields came to similar conclusions simultaneously and independently, what were the problems, in response to which economists of the second half of last century developed their theories, and what were the contexts of such development.


Sign in / Sign up

Export Citation Format

Share Document