Mathematical Methods in Economics and Social Choice

• Κύριος συγγραφέας: Schofield, Norman (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2014.
• Έκδοση: 2nd ed. 2014.
• Σειρά: Springer Texts in Business and Economics,
• Θέματα: 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 Economics.

 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. 

 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.