Journal Article Output and Investment for Exponential Growth in Consumption—The General Solution and Some Comments Get access V. Mukerji V. Mukerji Poona Search for other works by this author on: Oxford Academic Google Scholar The Review of Economic Studies, Volume 31, Issue 1, January 1964, Pages 77–82, https://doi.org/10.2307/2295939 Published: 01 January 1964
Journal Article A Generalized S.M.A.C. Function with Constant Ratios of Elasticity of Substitution Get access V. Mukerji V. Mukerji Poona Search for other works by this author on: Oxford Academic Google Scholar The Review of Economic Studies, Volume 30, Issue 3, October 1963, Pages 233–236, https://doi.org/10.2307/2296324 Published: 01 October 1963
In the past few decades, methods of linear algebra have become central to economic analysis, replacing older tools such as the calculus. David Gale has provided the first complete and lucid treatment of important topics in mathematical economics which can be analyzed by linear models. This self-contained work requires few mathematical prerequisites and provides all necessary groundwork in the first few chapters. After introducing basic geometric concepts of vectors and vector spaces, Gale proceeds to give the main theorems on linear inequalities?theorems underpinning the theory of games, linear programming, and the Neumann model of growth. He then explores such subjects as linear programming; the theory of two-person games; static and dynamic theories of linear exchange models, including problems of equilibrium prices and dynamic stability; and methods of play, optimal strategies, and solutions of matrix games. This book should prove an invaluable reference source and text for mathematicians, engineers, economists, and those in many related areas.