Table of Contents
Foreword vii
Preface xiii
Acknowledgements xv
A Tribute to Arik Artavazdovich Melikyan xvii
Testimonies xix
Arik A. Melikyan (10.05.1944-04.06.2009) xxv
Bibliography of Works Arik A. Melikyan xxix
The Long History of Arik's Conjecture Pierre Bernhard xxxvii
Optimal Control Problem for a Dynamical System on an Ellipsoid Arik A. Melikyan Fumiaki Imado xxxix
Contributors xliii
Part I Dynamic-Differential Games: Theoretical Developments
On a Structure of the Set of Differential Games Values Yurii Averboukh 3
Existence and Uniqueness of Disturbed Open-Loop Nash Equilibria for Affine-Quadratic Differential Games Teresa-Paula Azevedo-Perdicoúlis Gerhard Jank 25
Fields of Extremals and Sufficient Conditions for a Class of Open-Loop Variational Games Dean A. Carlson George Leitmann 41
Riemann-Liouville, Caputo, and Sequential Fractional Derivatives in Differential Games Arkadii Chikrii Ivan Matychyn 61
The Mixed Zero-Sum Stochastic Differential Game in the Model with Jumps Saïd Hamadène Hao Wang 83
Discontinuous Value Function in Time-Optimal Differential Games Liudmila Kamneva 111
On Grid Optimal Feedbacks to Control Problems of Prescribed Duration on the Plane Nina N. Subbotina Timofey B. Tokmantsev 133
Sub- and Super-optimality Principles and Construction of Almost Optimal Strategies for Differential Games in Hilbert Spaces Andrzej Swiech 149
Part II Pursuit Evasion Games
Extremal Aiming in Problems with Unknown Level of Dynamic Disturbance Sergei A. Ganebny Sergey S. Kumkov Valerii S. Patsko Sergei G. Pyatko 167
A Generalization of the Multi-Stage Search Allocation Game Ryusuke Hohzaki 189
Linear Differential Game with Two Pursuers and One Evader Stéphane Le Ménec 209
Homicidal Chauffeur Game: History and Modern Studies Valerii S. Patsko Varvara L. Turova 227
Collision Avoidance Strategies for a Three-Player Game Sriram Shankaran Dusan M. Stipanovic Claire J. Tomlin 253
Part III Evolutionary Games
Imitative Behavior in a Two-Population Model Elvio Accinelli Juan Gabriel Brida Edgar J. Sanchez Carrera 275
ESS, Population Games, Replicator Dynamics: Dynamics and Games if not Dynamic Games Pierre Bernhard 291
A Markov Decision Evolutionary Game for Individual Energy Management Yezekael Hayel Hamidou Tembine Eitan Altman Rachid El-Azouzi 313
Mutual Mate Choice with Multiple Criteria David M. Ramsey 337
Part IV Cooperative Games
The Shapley Value in Cooperative Differential Games with Random Duration Ekaterina Shevkoplyas 359
Dynamically Consistent Cooperative Solutions in Differential Games with Asynchronous Players' Horizons David W.K. Yeung 375
Part V Applications and Numerical Approaches
Measure-Valued Solutions to a Harvesting Game with Several Players Alberto Bressan Wen Shen 399
Optimal Distributed Uplink Channel Allocation: A Constrained MDP Formulation Vivek S. Borkar Joy Kuri 425
Binomial Approximations for Barrier Options of Israeli Style Yan Dolinsky Yuri Kifer 447
A Game of International Climate Policy Solved by a Homogeneous Oracle-Based Method for Variational Inequalities Laurent Drouet Alain Haurie Jean-Philippe Vial Marc Vielle 469
Optimal Stopping of a Risk Process with Disruption and Interest Rates Elzbieta Z. Ferenstein Adam Pasternak-Winiarski 489
Examples in Dynamic Optimal Taxation Mikhail Krastanov Rossen Rozenov 509
On a Discounted Inventory Game Heinz-Uwe Küenle 521
Time-Consistent Emission Reduction in a Dynamic Leader-Follower Game Yulia Pavlova 537
Fish Wars with Changing Area for a Fishery Anna Rettieva 553
