Economics for MathematiciansCambridge University Press, 10 déc. 1981 - 145 pages This is the expanded notes of a course intended to introduce students specializing in mathematics to some of the central ideas of traditional economics. The book should be readily accessible to anyone with some training in university mathematics; more advanced mathematical tools are explained in the appendices. Thus this text could be used for undergraduate mathematics courses or as supplementary reading for students of mathematical economics. |
Table des matières
PURE EXCHANGE ECONOMY | 15 |
THEORY OF THE FIRM | 35 |
WELFARE ECONOMICS | 58 |
LINEAR ECONOMIC MODELS | 75 |
SIMPLE MACROECONOMIC MODELS | 98 |
Appendix A CONVEX SETS | 120 |
Appendix B THE BROUWER FIXED POINT THEORSM | 128 |
NONNEGATIVE MATRICES | 136 |
| 143 | |
Autres éditions - Tout afficher
Economics for Mathematicians J. W. S. Cassels,John William Scott Cassels Aucun aperçu disponible - 1981 |
Expressions et termes fréquents
activity Appendix Arrow's impossibility theorem assumption budget constraint bundle of commodities capital Chapter coalition competitive allocation completely labelled facets condition consider constant consumed consumption contract curve convex cover convex function convex set core allocation Corollary cost decreases defined definition demand denote depends Edgeworth box eigenvalue Engel curve equates equilibrium Exercise factors of production follows Further Gale economy given gives Hence Hint holds household h hyperplane implies increases indifference curves indifference hypersurfaces industry initial endowment input intensity vector investment irreducible labour required Lemma Mathematical matrix maximize non-negative notation output Pareto optimal positive precisely price vector produced profit Proof rate of interest replaced returns to scale satisfies Show simplex simplicial decomposition social utility strictly convex suppose tac-hyperplane Theorem 2.2 theory utility function utility subject vertices wage well-labelled