Advances in Mathematical Economics Volume 19

1. Front Matter

   Pages i-v

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2. On the Integration of Fuzzy Level Sets

   • Charles Castaing, Christiane Godet-Thobie, Thi Duyen Hoang, P. Raynaud de Fitte

   Pages 1-32

3. A Theory for Estimating Consumer’s Preference from Demand

   • Yuhki Hosoya

   Pages 33-55

4. Least Square Regression Methods for Bermudan Derivatives and Systems of Functions

   • Shigeo Kusuoka, Yusuke Morimoto

   Pages 57-89

5. Discrete Time Optimal Control Problems on Large Intervals

   • Alexander J. Zaslavski

   Pages 91-135

6. Back Matter

   Pages 137-138

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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. 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.

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

• The University of Tokyo, Tokyo, Japan

  Shigeo Kusuoka

• Keio University, Tokyo, Japan

  Toru Maruyama

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