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Sequential Competitive Location on Networks (Europäische Hochschulschriften / European University Studies / Publications Universitaires Européennes) - Softcover
Synopsis
This book deals with classical competitive location problems where two players, leader and follower, sequentially enter markets with given numbers of facilities. The markets under consideration are represented as networks. The book provides a detailed overview of the literature on competitive and voting location, and it presents extensions and variations of the classical models, with a focus on the incorporation of proportional choice rules, non-discrete demand (edge demand), or additional pricing decisions of the players. It provides corresponding mathematical models, insights into the computational complexity of the resulting problems and proposes and analyzes adequate solution methods.
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About the Author
Dominik Kreß studied Business Administration and Engineering at the University of Darmstadt, where he graduated in 2009 and worked as a research assistant at the Chair of Operations Research until 2010. He currently is a research assistant at the Department of Management Information Science at the University of Siegen, where he received his doctoral degree in 2013.
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- PublisherPeter Lang GmbH, Internationaler Verlag der Wissenschaften
- Publication date2013
- ISBN 10 363162767X
- ISBN 13 9783631627679
- BindingPaperback
- LanguageEnglish
- Number of pages178
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Sequential competitive location on networks. Europäische Hochschulschriften / Reihe 5 / Volks- und Betriebswirtschaft ; Bd. 3427
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Frankfurt, M. : PL Acad. Research, 2013
ISBN 10: 363162767X
ISBN 13: 9783631627679
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kart. Condition: Wie neu. XVI, 178 S. : graph. Darst. ; 21 cm Tadelloses Exemplar. - Contents -- List o f Figures xiii -- List of Tables x v -- 1 Introduction and Preliminaries 1 -- 1.1 Basic Notation a n d Definitions 2 -- 1.1.1 Graphs a n d Networks 2 -- 1.1.2 G a m e Theory 5 -- 1.1.3 Discrete Choice Theory 6 -- 1.2 Foundations of Competitive and Voting Location 7 -- 1.3 Vertex and Edge Demand 12 -- 1.4 Outline of t h e Thesis 13 -- 2 Sequential Competitive Location on Networks: Literature -- Review 15 -- 2.1 Voting Location: Condorcet Points a n d Related Concepts . . 18 -- 2.2 Voting Location: Some ( l | l ) - C e n t r o i d Problems 22 -- 2.3 (r|X?,)-Medianoid Problems 24 -- 2.4 (r|p)-Centroid Problems 32 -- 2.5 Multiple Players, Endogenous Location a n d Some Selected R 1 -- Models 36 -- 2.6 O n t h e Influence of Specific Modeling Assumptions 42 -- 2.7 Conclusion 50 -- 3 Competitive or Voting Location with Proportional Choice 51 -- 3.1 Bottleneck Points 52 -- 3.2 A Proportional Choice Rule 54 -- 3.2.1 1-Suboptimal Points 56 -- 3.2.2 Examples a n d Counterexamples 59 -- 3.2.3 Determining 1-Suboptimal Points: Implementational -- Issues 62 -- 3.3 Including Edge Demand 71 -- 3.3.1 Basic Properties 74 -- 3.3.2 1-Optimal Points on Chain Networks with Edge De -- m a n d Only 75 -- 3.4 Conclusion 77 -- 4 (r|p)-Centroid Problems o n Networks with Vertex and Edge -- Demand 79 -- 4.1 T h e Binary (r|p)-Centroid Problem with Vertex a n d Edge De -- m a n d 80 -- 4.1.1 Bilevel Programming Models 80 -- 4.1.2 Potential Solution Approaches 84 -- 4.1.3 Some Complexity Results 87 -- 4.1.4 Finite Dominating Sets 91 -- 4.2 An Efficient Algorithm on Tree Networks 93 -- 4.2.1 Chain Networks 94 -- 4.2.2 General Tree Networks 103 -- 4.3 Conclusion 117 -- 5 Competitive Location and Pricing with Random Utilities 119 -- 5.1 Problem Formulation 120 -- 5.1.1 Pricing Stage: Nash Equilibria a n d Local Equilibria . 124 -- 5.1.2 Computational Complexity 128 -- 5.2 Pricing Stage: Algorithmic Approaches 132 -- 5.2.1 Fixed-Point Iteration 134 -- 5.2.2 Newton's Method 136 -- 5.2.3 A Combined Algorithm 139 -- 5.2.4 Computational Analysis 143 ISBN 9783631627679 Sprache: Englisch Gewicht in Gramm: 270. Seller Inventory # 1079409
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Sequential Competitive Location on Networks
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SEQUENTIAL COMPETITIVE LOCATION ON NETWORKS
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Sequential Competitive Location on Networks (Europäische Hochschulschriften / European University Studies / Publications Universitaires Européennes)
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