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Mathematical Methods in Economics and Social Choice [electronic resource] / by Norman Schofield.

By: Schofield, Norman [author.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Springer Texts in Business and Economics: Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2014Edition: 2nd ed. 2014.Description: XV, 262 p. 100 illus. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783642398186.Subject(s): Political science | Game theory | Economic theory | Public finance | Economics | Economic Theory/Quantitative Economics/Mathematical Methods | Political Science | Game Theory, Economics, Social and Behav. Sciences | Public EconomicsAdditional physical formats: Printed edition:: No titleDDC classification: 330.1 Online resources: Click here to access online
Contents:
Sets, Relations and Preferences -- Linear Spaces and Transformations -- Topology and Convex Optimisation -- Differential Calculus and Smooth Optimisation -- Singularity Theory and General Equilibria -- Topology and Social Choice.
In: Springer eBooksSummary: In recent years, the usual optimization techniques, which have proved so useful in microeconomic theory, have been extended to incorporate more powerful topological and differential methods, and these methods have led to new results on the qualitative behavior of general economic and political systems. These developments have necessarily resulted in an increase in the degree of formalism in the publications in the academic journals. This formalism can often deter graduate students. The progression of ideas presented in this book will familiarize the student with the geometric concepts underlying these topological methods, and, as a result, make mathematical economics, general equilibrium theory, and social choice theory more accessible.
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Sets, Relations and Preferences -- Linear Spaces and Transformations -- Topology and Convex Optimisation -- Differential Calculus and Smooth Optimisation -- Singularity Theory and General Equilibria -- Topology and Social Choice.

In recent years, the usual optimization techniques, which have proved so useful in microeconomic theory, have been extended to incorporate more powerful topological and differential methods, and these methods have led to new results on the qualitative behavior of general economic and political systems. These developments have necessarily resulted in an increase in the degree of formalism in the publications in the academic journals. This formalism can often deter graduate students. The progression of ideas presented in this book will familiarize the student with the geometric concepts underlying these topological methods, and, as a result, make mathematical economics, general equilibrium theory, and social choice theory more accessible.

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