Group choice: Transl. by Yelena Oliker. Ed. by Peter C. Fishburn
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Washington, DC
Winston
1979
|
| Schriftenreihe: | Scripta series in mathematics.
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | EST: Problema gruppovogo vybora (dt.) |
| Beschreibung: | XXX, 252 S. |
| ISBN: | 047026702X |
Internformat
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| 240 | 1 | 0 | |a Problema gruppovogo vybora |
| 245 | 1 | 0 | |a Group choice |b Transl. by Yelena Oliker. Ed. by Peter C. Fishburn |
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Datensatz im Suchindex
| _version_ | 1804117985566130176 |
|---|---|
| adam_text | CONTENTS
Editor s Preface to the English Edition xi
Preface to the English Edition xiii
Preface xv
Basic Notation xviii
Introduction xix
Chapter I Description of Preferences 1
1. Types of Judgements 1
1. Quantitative factors 1
2. Evaluations on a grade scale and on a rank scale I
3. Ranking 1
v
i
vi CONTENTS
4. Binary comparison 8
5. Preference relations and qualitative data analysis 10
2. Quasiseries 12
1. Basic definitions 12
2. The structure of equivalences 14
3. Nominal scales 15 ,
4. The structure of quasiseries 16
5. Linear quasiorders 20
6. Representation of continuous relations 21
3. Intransitive Indifference Relations 23
1. What causes intransitivity? 23
2. Quasilinear relations 25
3. Interval indifference relations 29
4. Relations of preference and indifference with respect
to several factors 31
4. Cardinal Preferences 35
1. Type of scale as a property of a system of relations 35
2. The von Neumann Morgenstern measurement of
preferences 38
3. Approximately quantitative measurement 42
4. Expert judgement 46
5. Revealed Preferences 48 I
1. The best and maximal objects 48 i
2. Normal mappings 50 j
3. Choice functions and revealed preferences 53 j
4. Axioms of revealed preference 56 ;
5. Consumer revealed preferences 57 I
6. Detecting of real preferences 59
Problems 64
Chapter II Majority Rule 67
1. Discussion of Majority Rule 67
1. On principles of consistency 67
2. Majority rule 68 !
3. Intransitivity of majority relations 69
4. Strategic aspects of majority rule 72
CONTENTS vii
2. Conditions for Transitive Majorities 74
1. The form of transitivity conditions 74
2. The admissibility criterion for a set of preferences 77
3. One dimensional preferences 79
4. Dichotomous preferences 83
5. Preferences with a specified object 85
6. Completeness of the admissibility conditions 87
3. Distance in the Space of Relations 90
1. Distance between relations and majority rule 90
2. Constructing media in special classes of relations 93
3. The relation between 99
4. Computing distances between linear quasiorders and
equivalences 104
5. Qualitative factor analysis 108
Problems 113
Chapter III Axiomatic Analysis of the Problems of Consistency
of Relations 117
1. Requirements on Consistency Principles 117
1. The condition of object independence 117
2. Universal sets of relations 120
3. A positive relationship between the group relation and
individual relations (monotonicity) 122
4. A condition of nonimposition of the group decision 123
5. The Pareto principle 123
2. Characteristics of Possible Principles of Consistency 125
1. Statement of the theorem and its corollaries 125
2. Discussion of Theorem 1 and its corollaries 126
3. Decisive and blocking sets 128
4. Arrow s paradox 131
5. Possibility of individual choice 134
6. An impossibility theorem for cardinal preferences 136
Problems 137
Chapter IV Expert Judgement Analysis 141
1. What is Expert Judgement? 141
viii CONTENTS
1. Goals of expert judgement 141
2. The main steps in expert evaluation 143
2. Analysis of the Results of Evaluations of Objects 145
1. Taking into account competence of experts and weights
of factors 145
2. Basis for weights of cardinal preferences 147
3. Evaluation of experts competence 150
4. Analyzing experts competence by their evaluations of
objects 153
5. Analysis of experts viewpoints 157
3. Analyzing the Results of Binary Comparisons 163
1. Binary comparison matrices 163
2. Ideal representations of binary evaluation matrices 164
3. Supertransitive approximations of matrices 167 !
4. Probabilistic evaluation models 172 i
5. Qualitative group evaluations 175
Problems 177
Chapter V Modern Concepts of Social Choice 181
1. Equilibrium Concepts 181
1. Abstract statements 181
2. Equilibria and optimality in terms of strategies 185 ;
3. Examples and discussion 190 j
4. Nash equilibria 193
5. Pareto optima and weight coefficients 197 j
6. Defining weight coefficients 199
2. Equilibrium States in the Resource Redistribution Model 203
1. A model of resource redistribution and the concept |
of economic equilibrium 203 :
2. Economic equilibrium as a Nash equilibrium 206 :
3. Economic equilibrium and Edgeworth equilibrium 207
4. Equilibrium in a model with Cobb Douglas production i
functions 208
5. Economic equilibrium for the model with Cobb Douglas
functions 210
6. Distribution of resources to maximize the total effect 212 j
CONTENTS ix
7. An example of an optimal distribution of resources that
is an economic equilibrium 214
3. Descriptive Models 216
1. The behavioral process 216
2. A simple model of group evaluations 217
3. A process of resource redistribution 220
4. Stochastic behavioral processes 221
Problems 224
Bibliographic References 229
Bibliography 235
Index 249
|
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| bvnumber | BV003634651 |
| classification_rvk | QH 233 SK 830 |
| ctrlnum | (OCoLC)631087597 (DE-599)BVBBV003634651 |
| discipline | Mathematik Wirtschaftswissenschaften |
| format | Book |
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| id | DE-604.BV003634651 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:03:06Z |
| institution | BVB |
| isbn | 047026702X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002315581 |
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| physical | XXX, 252 S. |
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| publishDateSearch | 1979 |
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| publisher | Winston |
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| series2 | Scripta series in mathematics. |
| spelling | Mirkin, Boris G. Verfasser aut Problema gruppovogo vybora Group choice Transl. by Yelena Oliker. Ed. by Peter C. Fishburn Washington, DC Winston 1979 XXX, 252 S. txt rdacontent n rdamedia nc rdacarrier Scripta series in mathematics. EST: Problema gruppovogo vybora (dt.) Gruppe (DE-588)4022378-4 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Entscheidungsprozess (DE-588)4121202-2 gnd rswk-swf Entscheidungstheorie (DE-588)4138606-1 gnd rswk-swf Entscheidungsprozess (DE-588)4121202-2 s Gruppe (DE-588)4022378-4 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Entscheidungstheorie (DE-588)4138606-1 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002315581&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mirkin, Boris G. Group choice Transl. by Yelena Oliker. Ed. by Peter C. Fishburn Gruppe (DE-588)4022378-4 gnd Mathematisches Modell (DE-588)4114528-8 gnd Entscheidungsprozess (DE-588)4121202-2 gnd Entscheidungstheorie (DE-588)4138606-1 gnd |
| subject_GND | (DE-588)4022378-4 (DE-588)4114528-8 (DE-588)4121202-2 (DE-588)4138606-1 |
| title | Group choice Transl. by Yelena Oliker. Ed. by Peter C. Fishburn |
| title_alt | Problema gruppovogo vybora |
| title_auth | Group choice Transl. by Yelena Oliker. Ed. by Peter C. Fishburn |
| title_exact_search | Group choice Transl. by Yelena Oliker. Ed. by Peter C. Fishburn |
| title_full | Group choice Transl. by Yelena Oliker. Ed. by Peter C. Fishburn |
| title_fullStr | Group choice Transl. by Yelena Oliker. Ed. by Peter C. Fishburn |
| title_full_unstemmed | Group choice Transl. by Yelena Oliker. Ed. by Peter C. Fishburn |
| title_short | Group choice |
| title_sort | group choice transl by yelena oliker ed by peter c fishburn |
| title_sub | Transl. by Yelena Oliker. Ed. by Peter C. Fishburn |
| topic | Gruppe (DE-588)4022378-4 gnd Mathematisches Modell (DE-588)4114528-8 gnd Entscheidungsprozess (DE-588)4121202-2 gnd Entscheidungstheorie (DE-588)4138606-1 gnd |
| topic_facet | Gruppe Mathematisches Modell Entscheidungsprozess Entscheidungstheorie |
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