Game Theory and Applications. Volume 17: Game-Theoretic Models in Mathematical Ecology

Vladimir Mazalov (Editor)
Institute of Applied Mathematical Research, Karelia Research Center of Russian Academy of Sciences, Karelia, Russia

Series: Game Theory and Applications
BISAC: MAT011000

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Special issue: Resilience in breaking the cycle of children’s environmental health disparities
Edited by I Leslie Rubin, Robert J Geller, Abby Mutic, Benjamin A Gitterman, Nathan Mutic, Wayne Garfinkel, Claire D Coles, Kurt Martinuzzi, and Joav Merrick

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The idea of this book is to demonstrate the tendency of modern research in mathematical ecology using the optimal control theory and game-theoretic methods. The book introduces the modelling of environmental systems through conceptual game-theoretic models, showing the importance of the equilibrium behavior under resource extraction. Using discrete and continuous models of biological and physical processes, the behavior of ecological-economic systems is represented by models with analytic or numerical solutions.

A range of mathematical methods including analytic and approximate methods for equilibrium definition, cooperative and collective behavior determination are used to explore such models. The main feature of the presented investigations is characterized by time consistent, stabilized, collective and cooperative concepts in ecological-economic systems. This book is recommended for researchers and post-graduate students of management, economic and in the applied mathematics departments.
(Imprint: Nova)

Preface

Chapter 1 Models of collective threshold behavior in control problems of ecological-economic systems
(Vladimir V. Breer, Dmitry A. Novikov and Andrey D. Rogatkin, V.A. Trapeznikov Institute of Control Sciences RAS)

Chapter 2 The principle of coordinated planning in control of social and ecological-economic systems
(Vladimir N. Burkov and Irina V. Burkova, V.A. Trapeznikov Institute of Control Sciences RAS)

Chapter 3 A differential game model of preventing fish kills in shallow waterbodies
(Alexander E. Chistyakov, Alla V. Nikitina, Guennady A. Ougolnitsky, Maxim V. Puchkin, Ilya S. Semenov, Alexander I. Sukhinov and Anatoly B. Usov, Southern Federal University)

Chapter 4 Correction of cooperative games as a stabilization mechanism of ecological-economic systems
(Victor A. Gorelik, Dorodnitcyn Computing Ñenter of RAS)

Chapter 5 Hierarchical regional models of environment protection
(Victor A. Gorelik and Tatyana V. Zolotova, Dorodnitcyn Computing Ñenter of RAS)

Chapter 6 Strongly time-consistent cooperative solution for a differential game of pollution control
(Ekaterina V. Gromova and Leon A. Petrosyan, Faculty of Applied Mathematics-Control Processes, St. Petersburg State University)

Chapter 7 Equilibrium and control in biocommunity species composition preserving problem
(Alexandra S. Ivanova and Alexander N. Kirillov, Institute of Applied Mathematical Research Karelian Research Centre of RAS)

Chapter 8 Assymetry in a cooperative bioresource management problem
(Vladimir V. Mazalov and Anna N. Rettieva, Institute of Applied Mathematical Research Karelian Research Centre of RAS)

Chapter 9 A game-theoretic model of a three-level marketing system considering environmental requirements
(Adalyat E.Nazirov, Gunnady A. Ougolnitsky and Anatoly B. Usov, Southern Federal University)

Chapter 10 Models of reflexive games in control problems of ecological-economic systems
(Dmitry A. Novikov and Alexander G. Chkhartishvili, V.A. Trapeznikov Institute of Control Sciences RAS)

Chapter 11 Analysis of a quota sales mechanism
(Alexander V. Shchepkin, V.A. Trapeznikov Institute of Control Sciences RAS)

Chapter 12 Subgame consistent cooperative exploitation of species in ecosystems with facilitation
(David W. K. Yeung, Leon A. Petrosyan and Yingxuan Zhang, SRS Consortium for Advanced Study in Dynamic Cooperative Games, Shue Yan University and Faculty of Applied Mathematics-Control Processes, St. Petersburg State University)

Chapter 13 Competitive Green-Vehicle Assignment on a Transportation Network
(Victor V. Zakharov and Alexander U. Krylatov, Faculty of Applied Mathematics-Control Processes, Saint-Petersburg State University)

Index

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