Table of Contents
Table of Contents
Preface
Prologue – The Life and Science of Leonid V. Kantorovich (1912-2012)
Joseph V. Romanovsky
PART I OPTIMAL ECONOMIC PLANNING
Chapter 1 – Theory of Optimal Planning at Kantorovich View (pp. 3-6)
Valery L. Makarov (Central-Mathematical Institute, Moscow, Russia)
Chapter 2 – Monge-Kantorovich Problem along Years (pp. 7-18)
Anatoly M. Vershik (St. Petersburg State University, Russia)
Chapter 3 – Optimization Transport Computations (pp. 19-36)
Sergey P. Bushansky, Elena M. Vasilieva and Veniamin N. Livchits (Central Economic-Mathematical Institute, Moscow, Russia and others)
Chapter 4 – Optimal Use of Resources: Cutting-Packing Problems (pp. 37-50)
Anna S. Filippova and Julia I. Valiakhmetova (Department of Applied Informatic, Institute of Professional Education and IT, M.Akmullah Bashkir State Pedagogical University, Ufa, Russia and others)
Chapter 5 – Ideas of Kantorovich in IT-Park of Petrozavodsk University (pp. 51-72)
Anatoly V. Voronin and Vladimir A. Kuznetsov (Rector, Petrozavodsk State University, Petrozavodsk, Russia and others)
PART II GAME THEORY
Chapter 6 – Adaptive Learning in Dynamic Oligopolies with Time Delay (pp. 75-94)
Akio Matsumoto, Haiyan Qiao and Ferenc Szidarovszky (Department of Economics, Chuo University, Tokyo, Japan and others)
Chapter 7 – Subgame Consistent Solution for a Dynamic Game of Pollution Management (pp. 95-112)
David W. K. Yeung and Leon A. Petrosyan (Center of Game Theory, St. Petersburg State University, SRS Consortium for Advanced Study in Dynamic Games, Hong Kong Shue Yan University, Hong Kong and others)
Chapter 8 – Column-Generation Method and Nash Equilibrium in Some Non-Cooperative Game (pp. 113-122)
Lev M. Bregman (Institute for Industrial Mathematics, Beer-Sheva, Israel)
Chapter 9 – Generalized Proportional Solutions (pp. 123-144)
Natalia I. Naumova (Docent, St. Petersburg State University, St. Petersburg, Russia)
Chapter 10 – Search Games on Graphs (pp. 145-154)
Tatiana V. Abramovskaya (St. Petersburg State University, St. Petersburg, Russia)
Chapter 11- Supply Chain Control System Based on Pareto Optimality (pp. 155-166)
Alexander V. Prasolov (St. Petersburg State University, St. Petersburg, Russia)
PART III OPTIMIZATION TECHNIQUES
Chapter 12 – Polyhedral Complementarity and Equilibrium Problem (pp. 169-182)
Vadim I. Shmyrev (Sobolev Institute of Mathematics, Siberian Branch, Russian Ac.Sci., Novosibirsk, Russia)
Chapter 13 – Pre-Network Level Planning of a Large City (pp. 183-194)
Vladimir P. Fedorov and Leonid A. Losin (St. Petersburg Economic-Mathematical Institute, Russian Acad. Sci., St. Petersburg, Russia and others)
Chapter 14 – Tropical Optimization Problems (pp. 195-214)
Nikolai K. Krivulin (St. Petersburg State University, St. Petersburg, Russia)
Chapter 15 – Enumeration of Suboptimal Solutions in Terms of Processes (pp. 215-236)
Joseph V. Romanovsky (St. Petersburg University, St. Petersburg, Russia)
Chapter 16 – The Missed Opportunities (pp. 237-242)
Gennady Shepelev and Vladimir Zhiyanov (Institute for Systems Analysis RAS, Head of Laboratory, Moscow, Russia and others)
Editors’ Contact Information
Index
Reviews
“The book is devoted to the outstanding Soviet scientist Leonid Kantorovich (1912-1986) – well known Russian mathematician and economist. Nowadays he is known mainly by his works in application of mathematics to economics, started in 1939 and marked in 1975 by memorial Nobel prize in economics (together with American economist Tjalling Koopmans).” <a href=”https://novapublishers.com/wp-content/uploads/2019/04/Book-Review-Advances-in-Economics-and-Optimization-Mazalov.pdf” target=”_blank” rel=”noopener”>READ MORE… – Vladimir Mazalov