Axiomatic bargaining game theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht u.a.
Kluwer
1992
|
| Schriftenreihe: | [Theory and decision library / C]
9 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 240 S. graph. Darst. |
| ISBN: | 0792318730 |
Internformat
MARC
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| 100 | 1 | |a Peters, Hans J. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Axiomatic bargaining game theory |c by Hans J. M. Peters |
| 264 | 1 | |a Dordrecht u.a. |b Kluwer |c 1992 | |
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Datensatz im Suchindex
| _version_ | 1804121545513107456 |
|---|---|
| adam_text | Contents
Preface v
1 Preliminaries 1
1.1 Introduction 1
1.2 Basic definitions and coucepts 2
1.3 Examples 3
1.3.1 Expected Utility bargaining situations 3
1.3.2 A division problem 4
1.3.3 Bimatrix games 5
1.3.4 A wage employment bargaining model 8
1.4 Outline of this book 9
2 Nash bargaining Solutions 13
2.1 Introduction 13
2.2 The bargaining problem 14
2.3 Nonsymmetric Nash Solutions 17
2.4 Alternative characterizations of nonsymmetric Nash Solutions 26
2.4.1 Introduction 26
2.4.2 Independence of irrelevant expansions 26
2.4.3 Multiplicativity 30
2.4.4 Replications of 2 person bargaining 32
2.4.5 The Utility of playing a bargaining game 34
2.5 Disagreement point axioms 37
2.5.1 Introduction 37
2.5.2 Disagreement point convexity 38
2.5.3 Related literature 44
2.6 Nash bargaining Solutions: further results 45
3 Independence of irrelevant alternatives and revealed preferences 47
3.1 Introduction 47
3.2 The role of IIA 48
3.3 (A)cyclicity of revealed preference without continuity 50
3.4 (A)cyclicity of revealed preference with continuity 53
3.5 Representation of revealed preference 56
3.6 Concluding remarks and related literature 59
viii CONTENTS
3.7 Violation of SARP for n 2 59
4 Monotonicity properties 63 j
4.1 Introduction 63
4.2 Individual Monotonicity 64
4.3 Replication invariance of bargaining solutions 70
4.4 Global individual monotonicity 73
4.5 Proportional solutions 76
4.5.1 Strong monotonicity 76
4.5.2 Disagreement point concavity 78
4.5.3 Strong transfer responsiveness 81
4.6 The equal loss solution 82 (
4.7 The lexicographic egalitarian solution 84
4.8 The lexicographic equal loss solution 88
4.9 Further literature 92
5 Additivity properties 93
5.1 Introduction 93
5.2 The super additive solution of Perles and Maschler 94
5.3 Simultaneity of issues and additivity in bargaining 96
5.4 Partial super additivity and proportional solutions 98
5.5 Restricted additivity and nonsymmetric Nash solutions 101
6 Risk properties 107
6.1 Introduction 107
6.2 Risk properties of bargaining solutions 107
6.3 Risk properties, independence of irrelevant alternatives, individual mono¬
tonicity 112
6.4 Risk behavior in risky situations 115
6.5 Improvement sensitivity of bargaining solutions 116
6.6 Risk sensitivity, twist sensitivity, and the slice property 118
7 Bargaining with a variable number of players 125
7.1 Introduction 125
7.2 The variable population bargaining model 126
7.3 Population monotonicity and the Raiffa Kalai Smorodinsky solution .... 127
7.4 Stability and the Nash solution 129
7.5 The egalitarian solution, weak stability and population monotonicity .... 133
8 Alternative models and solution concepts 135
8.1 Introduction 135
8.2 Multivalued solutions 135
8.2.1 Independence of irrelevant alternatives 136
8.2.2 Restricted monotonicity 139
8.3 Probabilistic solutions 142
8.3.1 Finite probabilistic solutions with the IIA property 143
CONTENTS ix
8.3.2 Conditional independence of irrelevant alternatives 147
8.4 Nonconvex bargaining games 152
8.4.1 An axiomatic extension of the Nash solution 153
8.4.2 A geometric extension of the Nash solution 156
8.4.3 Nash points and dynamics 158
8.5 Bargaining on economic environments 163
8.5.1 Monotonicity properties and fair division 163
8.5.2 Axiomatic bargaining on economic environments 164
8.5.3 Strategic bargaining on economic environments 165
8.6 Axiomatic bargaining over time 166
8.6.1 Continuation of bargaining solutions 166
8.6.2 Axiomatic bargaining over shrinking pies 167
8.7 Ordinal bargaining 167
8.8 Continuity of bargaining solutions 168
9 Noncooperative models for bargaining solutions 169
9.1 Introduction 169
9.2 The Harsanyi Zeuthen procedure 170
9.3 The Nash demand game 171
9.4 Perfect equilibrium in an alternating Nash demand game 174
9.5 A one shot bargaining problem 180
9.6 Consistency and subgame perfectness for the RKS solution 180
9.7 Noncooperative comparison of solutions 186
9.8 Arbitration games 191
10 Solutions for coalitional bargaining games 193
10.1 Introduction 193
10.2 Coalitional bargaining games and solutions 194
10.3 The Shapley solution 198
10.4 The Harsanyi solution 201
10.5 The proportional solutions 203
10.6 Related literature 205
11 Elements from utility theory 207
11.1 Introduction 207
11.2 Von Neumann Morgenstern utility functions 207
11.2.1 An axiomatic approach to measurable utility 208
11.2.2 Von Neumann Morgenstern utility functions 209
11.3 Risk aversion 210
11.4 A criterion for comparing strength of preference 214
11.5 Additive utility 216
11.6 Multiplicative utility 218
References 221
Author index 231
x CONTENTS
Subject index 233
Notation and symbols 237
|
| any_adam_object | 1 |
| author | Peters, Hans J. |
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| discipline | Mathematik Wirtschaftswissenschaften |
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| isbn | 0792318730 |
| language | English |
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| spelling | Peters, Hans J. Verfasser aut Axiomatic bargaining game theory by Hans J. M. Peters Dordrecht u.a. Kluwer 1992 X, 240 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier [Theory and decision library / C] 9 Mathematisches Modell Game theory Negotiation -- Mathematical models Axiomatic set theory Spieltheorie (DE-588)4056243-8 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Verhandlungstheorie (DE-588)4139583-9 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Verhandlungstheorie (DE-588)4139583-9 s Spieltheorie (DE-588)4056243-8 s DE-604 Mathematisches Modell (DE-588)4114528-8 s C] [Theory and decision library 9 (DE-604)BV000736902 9 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004703742&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Peters, Hans J. Axiomatic bargaining game theory Mathematisches Modell Game theory Negotiation -- Mathematical models Axiomatic set theory Spieltheorie (DE-588)4056243-8 gnd Mathematisches Modell (DE-588)4114528-8 gnd Verhandlungstheorie (DE-588)4139583-9 gnd |
| subject_GND | (DE-588)4056243-8 (DE-588)4114528-8 (DE-588)4139583-9 (DE-588)4143413-4 |
| title | Axiomatic bargaining game theory |
| title_auth | Axiomatic bargaining game theory |
| title_exact_search | Axiomatic bargaining game theory |
| title_full | Axiomatic bargaining game theory by Hans J. M. Peters |
| title_fullStr | Axiomatic bargaining game theory by Hans J. M. Peters |
| title_full_unstemmed | Axiomatic bargaining game theory by Hans J. M. Peters |
| title_short | Axiomatic bargaining game theory |
| title_sort | axiomatic bargaining game theory |
| topic | Mathematisches Modell Game theory Negotiation -- Mathematical models Axiomatic set theory Spieltheorie (DE-588)4056243-8 gnd Mathematisches Modell (DE-588)4114528-8 gnd Verhandlungstheorie (DE-588)4139583-9 gnd |
| topic_facet | Mathematisches Modell Game theory Negotiation -- Mathematical models Axiomatic set theory Spieltheorie Verhandlungstheorie Aufsatzsammlung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004703742&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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