Advances in Mathematical Economics Volume 15

1. Front Matter

   Pages i-vi

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2. Some various convergence results for normal integrands

   • Charles Castaing

   Pages 1-26

3. A note on robust representations of law-invariant quasiconvex functions

   • Samuel Drapeau, Michael Kupper, Ranja Reda

   Pages 27-39

4. On the Fourier analysis approach to the Hopf bifurcation theorem

   • Toru Maruyama

   Pages 41-65

5. Fixed point theorems and ergodic theorems for nonlinear mappings in Banach spaces

   • Pavel Kocourek, Wataru Takahashi, Jen-Chih Yao

   Pages 67-88

6. On the perception and representation of economic quantity in the history of economic analysis in view of the Debreu conjecture

   • Akira Yamazaki

   Pages 89-122

7. An existence result and a characterization of the least concave utility of homothetic preferences

   • Yuhki Hosoya

   Pages 123-127

8. Back Matter

   Pages 129-132

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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.

• Economic Theory
• Finance
• Probability
• Static Economics
• Stochastic Analysis

• Graduate School of Mathematical Sciences, The University of Tokyo, Tokyo, Japan

  Shigeo Kusuoka

• Department of Economics, Keio University, Tokyo, Japan

  Toru Maruyama

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