An introduction to allocation rules

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1. Verfasser: Hougaard, Jens Leth (VerfasserIn)
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Sprache:English
Veröffentlicht: Berlin [u.a.] Springer 2009
Ausgabe:1. Aufl.
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Datensatz im Suchindex

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adam_text Contents 1 Motivation and a Few Cases ........................................ 1 1.1 Introduction ........................................................ 1 1.2 Motivation .......................................................... 2 1.2.1 Fairness and Economic Efficiency ......................... 2 1.2.2 Management Decisions and Incentives .................... 7 1.3 Some Practical Cases .............................................. 10 1.3.1 The Tennessee Valley Project ............................. 10 1.3.2 Farmer s Irrigation Costs .................................. 12 1.3.3 Regulating Public Monopolies ............................. 13 1.4 Limits of Scope ..................................................... 15 References ................................................................ 15 2 Simple Sharing Problems ........................................... 17 2.1 Introduction ........................................................ 17 2.2 Rationing Problems ................................................ 18 2.2.1 Four Rationing Rules ...................................... 19 2.2.2 Inequality Comparisons .................................... 22 2.2.3 Axiomatic Characterizations .............................. 26 2.2.4 Manipulation ................................................ 29 2.2.5 Comments ................................................... 34 2.3 Cost Sharing with Joint Cost Function ........................... 35 2.3.1 Rules Based on Equality and Proportionality ............ 35 2.3.2 Rules Based on the Serial Principle ....................... 39 2.3.3 Rules Based on the Incremental Principle ................ 55 2.3.4 Comments ................................................... 57 2.4 Summary ............................................................ 58 References ................................................................ 59 3 Cost Allocation as Cooperative Games .......................... 61 3.1 Introduction ........................................................ 61 3.2 The Model .......................................................... 62 3.2.1 Some Applications .......................................... 64 3.3 The Stand-alone Cost Principle ................................... 66 Contents 3.4 Four Allocation Rules .............................................. 74 3.4.1 TheNucleolus ............................................... 75 3.4.2 The Lorenz Allocation..................................... 77 3.4.3 The Shapley Value ......................................... 79 3.4.4 Ther-Value ................................................. 81 3.5 Monotonicity Vs. the Stand-alone Cost Principle ................ 84 3.6 Axiomatic Characterizations ...................................... 87 3.6.1 Consistency and Reduced Problems ...................... 87 3.6.2 Characterizing the Nucleolus .............................. 89 3.6.3 Characterizing the Shapley Value ......................... 90 3.6.4 Characterizing the Lorenz Allocation ..................... 91 3.6.5 Characterizing the r-Value ................................ 92 3.7 Comments ........................................................... 92 3.8 Summary ............................................................ 93 References ................................................................ 94 General Sharing Problems .......................................... 97 4.1 Introduction ........................................................ 97 4.2 The Model .......................................................... 99 4.3 Three Allocation Rules ............................................100 4.3.1 The Aumann-Shapley Rule ................................100 4.3.2 The Shapley-Shubik Rule ..................................104 4.3.3 The Friedman-Moulin Rule ...............................105 4.4 Axiomatic Characterization .......................................109 4.4.1 Non-additive Extensions ................................... 114 4.5 Practical Application by Convex Envelopment of Cost Data ... 116 4.5.1 Cost Allocation Using Data Envelopment ................117 4.6 Comments ........................................................... 121 4.7 Summary ............................................................122 References ................................................................123 Sharing in Networks .................................................. 125 5.1 Introduction ........................................................125 5.2 Modeling Networks as Graphs ..................................... 127 5.3 Minimum Cost Spanning Trees ....................................127 5.3.1 Cost Allocation for Specific Spanning Trees ..............131 5.3.2 Characteristics of Cost Allocation Rules .................134 5.4 Demand-Based Cost Allocation ...................................140 5.5 Efficient Network Structure .......................................144 5.5.1 The Model ..................................................144 5.5.2 Stability and Efficiency ....................................146 5.5.3 Allocation Rules Respecting Network Structure .........148 5.6 Comments ...........................................................149 Contents xi 5.7 Summary ............................................................150 References ................................................................ 151 Index ......................................................................... 153
any_adam_object 1
author Hougaard, Jens Leth
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spellingShingle Hougaard, Jens Leth
An introduction to allocation rules
Allokation stw
Business Network stw
Gerechtigkeit stw
Gewinn stw
Kooperatives Spiel stw
Kosten stw
Ressourcenallokation - Verteilungsverfahren - Gerechtigkeit - Effizienz - Kooperatives Spiel
Shapley-Wert stw
Theorie stw
Unternehmen - Netzwerk - Kosten - Gewinn - Allokation
Mathematisches Modell
Cost allocation Mathematical models
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Allokation (DE-588)4001302-9 gnd
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title An introduction to allocation rules
title_auth An introduction to allocation rules
title_exact_search An introduction to allocation rules
title_full An introduction to allocation rules Jens Leth Hougaard
title_fullStr An introduction to allocation rules Jens Leth Hougaard
title_full_unstemmed An introduction to allocation rules Jens Leth Hougaard
title_short An introduction to allocation rules
title_sort an introduction to allocation rules
topic Allokation stw
Business Network stw
Gerechtigkeit stw
Gewinn stw
Kooperatives Spiel stw
Kosten stw
Ressourcenallokation - Verteilungsverfahren - Gerechtigkeit - Effizienz - Kooperatives Spiel
Shapley-Wert stw
Theorie stw
Unternehmen - Netzwerk - Kosten - Gewinn - Allokation
Mathematisches Modell
Cost allocation Mathematical models
Netzwerk (DE-588)4171529-9 gnd
Allokation (DE-588)4001302-9 gnd
Unternehmen (DE-588)4061963-1 gnd
Gerechtigkeit (DE-588)4020310-4 gnd
Ressourcenallokation (DE-588)4129283-2 gnd
Verteilungsverfahren (DE-588)4188066-3 gnd
Kooperatives Spiel (DE-588)4120603-4 gnd
Gewinn (DE-588)4020903-9 gnd
Effizienz (DE-588)4013585-8 gnd
Kosten (DE-588)4032579-9 gnd
topic_facet Allokation
Business Network
Gerechtigkeit
Gewinn
Kooperatives Spiel
Kosten
Ressourcenallokation - Verteilungsverfahren - Gerechtigkeit - Effizienz - Kooperatives Spiel
Shapley-Wert
Theorie
Unternehmen - Netzwerk - Kosten - Gewinn - Allokation
Mathematisches Modell
Cost allocation Mathematical models
Netzwerk
Unternehmen
Ressourcenallokation
Verteilungsverfahren
Effizienz
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