Originally published as volume 17 in the series: Studies in Economic Theory
2nd ed. 2014, XV, 262 p. 100 illus.
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Presents an overview of mathematical techniques useful in mathematical economics, general equilibrium theory and social choice theory
Indispensable methods for research in quantitative economics
With a new chapter on 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.
Content Level »Research
Keywords »Dynamical Systems - Game Theory - General Equilibrium Theory - Mathematical Economics - Social Choice Theory