## Pareto Optimality, Game Theory and EquilibriaPanos M. Pardalos, A. Migdalas, Leonidas Pitsoulis This comprehensive work examines important recent developments and modern applications in the fields of optimization, control, game theory and equilibrium programming. In particular, the concepts of equilibrium and optimality are of immense practical importance affecting decision-making problems regarding policy and strategies, and in understanding and predicting systems in different application domains, ranging from economics and engineering to military applications. The book consists of 29 survey chapters written by distinguished researchers in the above areas. |

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### Contents

3 | |

22 | |

On Noncooperative Games Minimax Theorems and Equilibrium Problems | 53 |

Nonlinear Games | 95 |

Scalar Asymptotic Contractivity and Fixed Points for Nonexpansive Mappings on Unbounded Sets | 119 |

Cooperative Combinatorial Games | 131 |

Algorithmic Cooperative Game Theory | 158 |

A Survey of Bicooperative Games | 187 |

A Survey | 437 |

Solution Concepts and an Approximation KuhnTucker Approach for Fuzzy Multiobjective Linear Bilevel Programming | 457 |

Pareto Optimality | 481 |

A Brief Overview | 516 |

Parametric Multiobjective Optimization | 529 |

The Extended Linear Complementarity Problem and Its Applications in Analysis and Control of DiscreteEvent Systems | 541 |

Equilibrium Models | 571 |

Investment Paradoxes in Electricity Networks | 593 |

Cost Allocation in Combinatorial Optimization Games | 217 |

TimeDependent Equilibrium Problems | 248 |

Differential Games of Multiple Agents and Geometric Structures | 267 |

Convexity in Differential Games | 307 |

Game Dynamic Problems for Systems with Fractional Derivatives | 349 |

Projected Dynamical Systems Evolutionary Variational Inequalities Applications and a Computational Procedure | 387 |

Strategic Audit Policies Without Commitment | 407 |

Algorithms for Network Interdiction and Fortiﬁcation Games | 609 |

Game Theoretical Approaches in Wireless Networks | 645 |

Multiobjective Control of TimeDiscrete Systems and Dynamic Games on Networks | 664 |

Winning Cones Differential Inclusions and Lanchester Type Models for Combat | 759 |

Statics and Dynamics of Global Supply Chain Networks | 798 |

Game Theory Models and Their Applications in Inventory Management and Supply Chain | 833 |

### Other editions - View all

Pareto Optimality, Game Theory and Equilibria Altannar Chinchuluun,Panos M Pardalos,Athanasios Migdalas,Leonidas Pitsoulis No preview available - 2016 |

Pareto Optimality, Game Theory and Equilibria Panos M. Pardalos,A. Migdalas,Leonidas Pitsoulis No preview available - 2008 |

### Common terms and phrases

algorithm Analysis Applications assignment game assume auction audit auditor coalition combinatorial compact compute cone consider constraints control problem convex set cooperative game core cost functions cyclic game deﬁned Deﬁnition demand market denote diﬀerent diﬀerential dynamic c-game edges eﬃcient ELCP equation exists ﬁnd ﬁnite ﬁrm ﬁrst ﬁxed ﬂow formulation Game Theory given global graph interdiction Journal Lemma linear programming lower semicontinuous mapping Mathematical matrix maximal method minimal minimax theorem minimum multiobjective Nash equilibrium node noncooperative nonempty nonlinear NP-hard Nucleolus obtain Operations Research optimal solution optimization problem Pareto optimal path payoﬀ payoff function proﬁt projected dynamical system Proof result retailer satisﬁes satisfying scalar Section semicontinuous sequence set-valued solution concepts solving strategies of players subset suﬃcient supply chain topological space traﬃc transaction variational inequality vector vertex

### Popular passages

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