Journal Article Correct Fixed-capital Replacement in Input-output Growth Models Get access W. F. Gossling W. F. Gossling University of East Anglia and West Virginia University Search for other works by this author on: Oxford Academic Google Scholar The Review of Economic Studies, Volume 41, Issue 4, October 1974, Pages 525–531, https://doi.org/10.2307/2296702 Published: 01 October 1974

Journal Article Afriat and Revealed Preference Theory Get access W. E. Diewert W. E. Diewert University of British Columbia Search for other works by this author on: Oxford Academic Google Scholar The Review of Economic Studies, Volume 40, Issue 3, July 1973, Pages 419–425, https://doi.org/10.2307/2296461 Published: 01 July 1973

The purpose of this note is to correct an error in my paper [1]. Under the assumptions of the paper, Proposition 3 is not, in general, true. The point at which the proof goes awry is in the use of the mapping n. n is treated in the paper as if it were a function (i.e. a point to point mapping); whereas it is in fact a correspondence (a point to set mapping). n maps points of the unit simplex into itself, using a subset of the Pareto optimal set to obtain the simplex. A given point in the payoff space may be the image of more than one point in the strategy space. Each strategy, s, which maps into a given point in the Pareto optimal set (i.e. which has a given p associated with it in the simplex), can map into a distinct (j in the simplex. Thus the Brouwer theorem cannot be used. While n is surely upper semi-continuous, it need not have convex image sets, ruling out use of the Kakutani fixed point theorem. Furthermore, it need not be lower semi-continuous, ruling out another route to the use of the Brouwer theorem. That route is to use the results of E. Michael [2], which establish that if n is lower semi-continuous, then it has a selection which is a continuous function from the unit simplex into itself. The upshot is that the axioms of [1] must be somehow strengthened in one of the

Journal Article A Non-cooperative Equilibrium for Supergames Get access James W. Friedman James W. Friedman University of Rochester Search for other works by this author on: Oxford Academic Google Scholar The Review of Economic Studies, Volume 38, Issue 1, January 1971, Pages 1–12, https://doi.org/10.2307/2296617 Published: 01 January 1971

Journal Article Clontarf Revisited Get access W. M. Gorman W. M. Gorman Search for other works by this author on: Oxford Academic Google Scholar The Review of Economic Studies, Volume 38, Issue 1, January 1971, Page 116, https://doi.org/10.2307/2296629 Published: 01 January 1971

Journal Article On Existence of Weakly Maximal Programmes in a Multi-Sector Economy Get access W. A. Brock W. A. Brock University of California, Berkeley and University of Rochester Search for other works by this author on: Oxford Academic Google Scholar The Review of Economic Studies, Volume 37, Issue 2, April 1970, Pages 275–280, https://doi.org/10.2307/2296419 Published: 01 April 1970 Article history Received: 01 July 1968 Accepted: 01 June 1969 Published: 01 April 1970

Journal Article On Experimental Research in Oligopoly Get access J. W. Friedman J. W. Friedman University of Rochester Search for other works by this author on: Oxford Academic Google Scholar The Review of Economic Studies, Volume 36, Issue 4, October 1969, Pages 399–415, https://doi.org/10.2307/2296467 Published: 01 October 1969 Article history Received: 04 August 1968 Revision received: 25 October 1968 Published: 01 October 1969

Journal Article Reaction Functions and the Theory of Duopoly Get access J. W. Friedman J. W. Friedman Yale University Search for other works by this author on: Oxford Academic Google Scholar The Review of Economic Studies, Volume 35, Issue 3, July 1968, Pages 257–272, https://doi.org/10.2307/2296661 Published: 01 July 1968

Journal Article The Two Sector Growth Model with Fixed Coefficients Get access W. M. Corden W. M. Corden Australian National University, Canberra Search for other works by this author on: Oxford Academic Google Scholar The Review of Economic Studies, Volume 33, Issue 3, July 1966, Pages 253–262, https://doi.org/10.2307/2974419 Published: 01 July 1966

Journal Article Wage Structure and Structural Unemployment Get access M. W. Reder M. W. Reder Stanford University Search for other works by this author on: Oxford Academic Google Scholar The Review of Economic Studies, Volume 31, Issue 4, October 1964, Pages 309–322, https://doi.org/10.2307/2295901 Published: 01 October 1964