Kusuoka S., Maruyama T. (Eds.) Advances in Mathematical Economics Vol. 15

Springer – 2011, 140 pages
ISBN: 4431539298A 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.Research Articles:
C. Castaing – Some various convergence results for normal integrands
S. Drapeau, M. Kupper, and R. Reda –A note on robust representations of law-invariant quasiconvex functions
T. Maruyama – On the Fourier analysis approach to the Hopf bifurcation theorem
P. Kocourek, W. Takahashi, and J.-C. Yao – Fixed point theorems and ergodic theorems for nonlinear mappings in Banach spacesHistorical Perspective:
A. Yamazaki – On the perception and representation of economic quantity in the history of economic analysis in view of the Debreu conjecture
Y. Hosoya – An existence result and a characterization of the least concave utility of homothetic preferences