Advances in Mathematical Economics Volume 20

Part I. Research Articles

1. Local Risk-Minimization for Barndorff-Nielsen and Shephard Models with Volatility Risk Premium
Takuji Arai

2. On a Fractional Differential Inclusion in Banach Space Under Weak Compactness Condition
C. Castaing, C. Godet-Thobie, L. X. Truong, F. Z. Mostefai

3. On First-Order Partial Differential Equations: An Existence Theorem and Its Applications
Yuhki Hosoya

4. Real Radicals and Finite Convergence of Polynomial Optimization Problems
Yoshiyuki Sekiguchi

Part II. Expository Review

5. On Differentiated and Indivisible Commodities: An Expository Re-framing of Mas-Colell’s 1975 Model
M. Ali Khan, Takashi Suzuki

Part III. Mini Courses

6. Survey of the Theory of Extremal Problems
V. Tikhomirov

7. Fourier Analysis of Periodic Weakly Stationary Processes: A Note on Slutsky’s Observation
Toru Maruyama

Keywords: Mathematics, Game Theory, Economics, Social and Behav. Sciences, Probability Theory and Stochastic Processes