Advances in Mathematical Economics, Volume 15

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Shigeo Kusuoka, Toru Maruyama
Springer Science & Business Media, Mar 16, 2011 - Business & Economics - 134 pages
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A lot of economic problems can be formulated as constrained optimizations and equilibration of their solutions. Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories. The series is designed to bring together those mathematicians who are seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking effective mathematical tools for their research.
 

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Contents

Some various convergence results for normal integrands
1
A note on robust representations of lawinvariant quasiconvex functions
27
On the Fourier analysis approach to the Hopf bifurcation theorem
41
Fixed point theorems and ergodic theorems for nonlinear mappings in Banach spaces
66
On the perception and representation of economic quantity in the history of economic analysis in view of the Debreu conjecture
89
An existence result and a characterization of the least concave utility of homothetic preferences
123
Subject Index
129
Instructions for Authors
133
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