Advances in Economics and Optimization: Collected Scientific Studies Dedicated to the Memory of L. V. Kantorovich

David W. K. Yeung (Editor)
SRS Consortium, Hong Kong Shue Yan University, Hong Kong, China &
Center of Game Theory, St Petersburg State University, St Petersburg, Russia

Leon A. Petrosyan (Editor)
Faculty of Applied Mathematics, St Petersburg State University, St Petersburg, Russia

Joseph V. Romanovsky (Editor)
Faculty of Applied Mathematics, St Petersburg State University, St Petersburg, Russia

Series: Economic Issues, Problems and Perspectives
BISAC: BUS069030

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Economics is a science which studies human behaviours as a relationship between ends and scarce means which have alternative uses. Since economic resources are scarce, optimization forms an integral part in the study of economics. In addition, in the presence of imperfect market structure, externalities, imperfect information or public goods, the market fails to provide an efficient allocation mechanism. Optimization of economic activities provides an effective remedial measure for market failures.

This contributed volume collects advances in the studies of economics and optimization. Contributions cover areas on analysis of optimal allocation of economic resources, economic optimization techniques, the interface economics and optimization, optimization under market mechanism and history of development of optimization techniques. The studies assembled in this volume are dedicated to the memory of a pioneering researcher and Nobel Laureate in the field of economic optimization – Leonid Vitalyevich Kantorovich. In his 100th birthday tribute in 2012, the International Conference Mathematics, Economic, Management: Kantorovich-100 in St-Petersburg was held in his memory. Selected papers from the conference are included in this Volume. In addition, contributed papers from authors who had worked closely with Kantorovich are also contained.

The volume reflects the breath of the impact of Kantorovich’s work on the development of economic optimization and resource allocation. The contributed studies are authored by researchers who have notable contributions in the field including some scholars who had worked with Kantorovich, his students and followers. The contributors include J. Romanovsky, V. Makarov, A. Vershik, S. Bushanskiy, E. Vasilieva, V. Livchits, A. Filippova, Ju. Valiakhmetova, A. Voronin, V. Kuznetsov, A. Matsumoto, H. Qiao, F. Szidarovszky, D. Yeung, L. Petrosyan, L. Bregman, N. Naumova, T. Abramovskaya, A.Prasolov, V.Shmyrev, V. Fedorov L. Losin, N. Krivulin, G. Shepelev and V. Zhiyanov.

The volume is an advanced research source in the fields of economics, optimization methodology and their interface. Its intended readers include academics, researchers, post-graduate students, policy-makers and business planners. (Imprint: Nova)

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

"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)." READ MORE... - Vladimir Mazalov

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