Economic theory of fuzzy equilibria: an axiomatic analysis
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | German |
| Published: |
Berlin u.a.
Springer
1995
|
| Edition: | 2., rev. and enl. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVII, 180 S. |
| ISBN: | 3540602003 |
Staff View
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| 100 | 1 | |a Billot, Antoine |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Economic theory of fuzzy equilibria |b an axiomatic analysis |c Antoine Billot |
| 250 | |a 2., rev. and enl. ed. | ||
| 264 | 1 | |a Berlin u.a. |b Springer |c 1995 | |
| 300 | |a XVII, 180 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 502 | |a Zugl. Diss. | ||
| 650 | 7 | |a Ensembles flous |2 ram | |
| 650 | 7 | |a Mathématiques économiques |2 ram | |
| 650 | 7 | |a Prise de décision |2 ram | |
| 650 | 7 | |a Équilibre (économie politique) |2 ram | |
| 650 | 4 | |a Equilibrium (Economics) | |
| 650 | 4 | |a Decision making | |
| 650 | 4 | |a Fuzzy sets | |
| 650 | 4 | |a Economics, Mathematical | |
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Record in the Search Index
| _version_ | 1807684034071887872 |
|---|---|
| adam_text |
CONTENTS
ACKNOWLEDGEMENTS
VII
PREFACE
TO
THE
1ST
EDITION
IX
PREFACE
TO
THE
2ND
EDITION
XIII
GENERAL
INTRODUCTION
1
1
INDIVIDUAL
FUZZY
RELATION
OF
PREFERENCE
5
1.1
THE
FUZZY
BINARY
RELATION
OF
PREFERENCE
.
6
1.1.1
BINARY
RELATION
AND
FUZZY
BINARY
RELATION
.
6
1.1.2
THE
FUZZY
PREFERENCE
AND
ITS
PROPERTIES
.
8
1.2
THE
INDIFFERENCE
PARADOX
.
15
1.2.1
REFLEXIVITY
AND
INDIFFERENCE
.
15
1.2.2
THE
AXIOMATIC
SOLUTION
.
16
1.2.3
SOLUTION
.
17
1.3
FUZZY
UTILITY
FUNCTION
ON
A
COUNTABLE
SET
.
18
1.3.1
SUBRELATIONS
OF
SIMILITUDE
.
19
1.3.2
THE
TRANSITION
OPERATOR
.
19
1.3.3
UTILITY
AND
FUZZY
REFLEXIVITY
.
20
1.3.4
TOTALLY
ORDERED
FUZZY
TOPOLOGICAL
SPACE
.
20
1.3.5
A
FUZZY
UTILITY
FUNCTION
.
21
1.4
FUZZY
UTILITY
FUNCTION
ON
A
CONVEX
SET
.
23
1.4.1
ASSUMPTIONS
ON
X
.
23
1.4.2
THE
ASSOCIATED
FUZZY
SET
XJ
.
23
1.4.3
ANALYSIS
OF
ASSUMPTIONS
.
23
1.4.4
CONTINUITY
OF
FUZZY
PREFERENCES
.
24
1.4.5
ASSUMPTION
OF
CONTINUITY
FOR
FUZZY
PREFERENCES
.
24
1.4.6
PRELIMINARY
RESULTS
.
25
1.4.7
EXTENSION
OF
V(.)
TO
U(.)
ON
X
.
27
1.5
A
NEW
PROOF
FOR
FUZZY
UTILITY
.
28
1.5.1
NEW
DEFLNITIONS
AND
NOTATIONS
.
29
1.5.2
TWO
REPRESENTATION
LEMMAS
.
30
XVI
CONTENTS
1.5.3
A
THIRD
REPRESENTATION
THEOREM
.
32
1.5.4
SOME
CONCLUDING
REMARKS
.
33
2
AGGREGATION
OF
FUZZY
PREFERENCES
35
2.1
ARROVIAN
DICTATOR
AND
FUZZY
PREFERENCES
.
36
2.1.1
IMPRECISE
BEHAVIOR
AND
FUZZY
INDIVIDUAL
PREFERENCES
.
37
2.1.2
FUZZY
PREFERENCES
AND
COLLECTIVE
DECISION
:
ARROW
'
S
AXIOMS
.
39
2.1.3
PROOF
OF
THE
DICTATOR
THEOREM
WITH
FUZZY
PREFERENCES
42
2.2
FUZZY
COALITIONS
AND
DEMOCRACY
.
43
2.2.1
AXIOMS
OF
MAY
'
S
THEOREM
.
44
2.2.2
GENERALIZED
THEOREM
:
ARROW
VERSUS
MAY
.
52
ANNEXES
57
3
FUZZY
GAMES
63
3.1
FIXED
POINTS
AND
NASH-EQUILIBRIUM
.
64
3.1.1
FIXED
POINTS
AND
FUZZY
UNIVERSE
.
65
3.1.2
NASH-EQUILIBRIA
FOR
FUZZY
GAMES
.
68
3.2
PRUDENT
BEHAVIOR
AND
EQUILIBRIA
.
78
3.2.1
LEXICOGRAPHIC
PREORDER
AND
CONTINUITY
.
79
3.2.2
NONCOOPERATIVE
FUZZY
ORDINAL
GAME
.
83
3.2.3
STRATEGIC
UTILITY
FUNCTION
.
84
3.2.4
PRUDENT
EQUILIBRIA
AND
FUZZY
NASH-EQUILIBRIA
.
85
3.3
COOPERATIVE
FUZZY
GAMES
.
88
3.3.1
/-CONVEXITY
AND
FUZZY
PREORDERS
.
89
3.3.2
NONEMPTINESS
OF
THE
PERIPHERAL
CORE
.
93
4
FUZZY
GENERAL
EQUILIBRIUM
105
4.1
TASKS
AND
QUASI
WAGE-RATES
.
106
4.1.1
THE
DIFFERENT
APPROACHES
OF
ABILITY
.
106
4.1.2
TASK,
QUASI
WAGE-RATE
AND
PARTIAL
COMPETITION
.
.
.
107
4.1.3
A
LABOR-COMMODITIES-ECONOMY
.
108
4.1.4
A
FUZZY
LCE
.
110
4.1.5
THE
METHOD
FOR
FUZZY
OPTIMIZATION
.
112
4.2
THE
EXISTENCE
OF
A
FUZZY
GENERAL
EQUILIBRIUM
.
115
4.2.1
A
PRIVATE
OWNERSHIP
LCE
.
116
4.2.2
A
GENERAL
FUZZY
EQUILIBRIUM
(A
LA
PONSARD)
.
116
4.2.3
EXISTENCE
OF
EQUILIBRIA
FOR
A
LCE
A
LA
PONSARD
.
119
4.2.4
EXISTENCE
OF
A
GENERAL
EQUILIBRIUM
IN
A
PURE
LCE
.
.
120
5
UNDEREMPLOYMENT
FUZZY
EQUILIBRIUM
123
5.1
EXISTENCE
OF
AN
UNDEREMPLOYMENT
EQUILIBRIUM
.
124
5.1.1
VOLUNTARY
UNEMPLOYMENT
AND
WALRASIAN
EQUILIBRIUM
INVOLUNTARY
UNEMPLOYMENT
.
124
CONTENTS
XVII
5.1.2
THE
CONSUMER-WORKER
'
S
BEHAVIOR
.
126
5.1.3
GENERAL
MODEL
OF
A
PURE
LCE
.
129
5.2
INVOLUNTARY
UNEMPLOYMENT
AND
DOMINATED
IRRATIONALITY
.
.
.
134
5.2.1
PRELIMINARY
REMARKS
.
135
5.2.2
FUZZY
PREFERENCE
AND
INVOLUNTARY
UNEMPLOYMENT
.
.
.
136
5.2.3
THE
WALRASIAN
EQUILIBRIUM
INVOLUNTARY
UNEMPLOYED
WORKER
'
S
BEHAVIOR
.
139
5.2.4
VOLUNTARY
AND
INVOLUNTARY
UNEMPLOYED
WORKERS
.
.
.
140
6
FUZZY
ECONOMICS
:
AN
OVERVIEW
143
6.1
THE
BIRTH
OF
RPA
.
145
6.2
PREFERENCE
THEORY
WITHIN
RPA
.
146
6.3
TOWARDS
A
FUZZY
THEORY
OF
VALUE
.
147
6.4
RPB
AND
RPC
INSTRUMENTALISM
.
150
6.5
OUTLETS
FOR
RP
.
151
GENERAL
CONCLUSION
155
REFERENCES
157
INDEX
175 |
| any_adam_object | 1 |
| author | Billot, Antoine |
| author_facet | Billot, Antoine |
| author_role | aut |
| author_sort | Billot, Antoine |
| author_variant | a b ab |
| building | Verbundindex |
| bvnumber | BV010386642 |
| callnumber-first | H - Social Science |
| callnumber-label | HB145 |
| callnumber-raw | HB145.B53 1995 |
| callnumber-search | HB145.B53 1995 |
| callnumber-sort | HB 3145 B53 41995 |
| callnumber-subject | HB - Economic Theory and Demography |
| classification_rvk | QC 140 QH 233 |
| ctrlnum | (OCoLC)33047715 (DE-599)BVBBV010386642 |
| dewey-full | 339.520 339.5 |
| dewey-hundreds | 300 - Social sciences |
| dewey-ones | 339 - Macroeconomics and related topics |
| dewey-raw | 339.5 20 339.5 |
| dewey-search | 339.5 20 339.5 |
| dewey-sort | 3339.5 220 |
| dewey-tens | 330 - Economics |
| discipline | Wirtschaftswissenschaften |
| edition | 2., rev. and enl. ed. |
| format | Thesis Book |
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| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV010386642 |
| illustrated | Not Illustrated |
| indexdate | 2024-08-18T00:43:54Z |
| institution | BVB |
| isbn | 3540602003 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006915897 |
| oclc_num | 33047715 |
| open_access_boolean | |
| owner | DE-384 DE-12 DE-20 DE-19 DE-BY-UBM DE-521 DE-83 DE-634 DE-188 |
| owner_facet | DE-384 DE-12 DE-20 DE-19 DE-BY-UBM DE-521 DE-83 DE-634 DE-188 |
| physical | XVII, 180 S. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Springer |
| record_format | marc |
| spelling | Billot, Antoine Verfasser aut Economic theory of fuzzy equilibria an axiomatic analysis Antoine Billot 2., rev. and enl. ed. Berlin u.a. Springer 1995 XVII, 180 S. txt rdacontent n rdamedia nc rdacarrier Zugl. Diss. Ensembles flous ram Mathématiques économiques ram Prise de décision ram Équilibre (économie politique) ram Equilibrium (Economics) Decision making Fuzzy sets Economics, Mathematical Gleichgewichtsmodell (DE-588)4125214-7 gnd rswk-swf Wirtschaftstheorie (DE-588)4079351-5 gnd rswk-swf Wirtschaftswissenschaften (DE-588)4066528-8 gnd rswk-swf Gleichgewichtstheorie (DE-588)4071876-1 gnd rswk-swf Fuzzy-Menge (DE-588)4061868-7 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Gleichgewichtstheorie (DE-588)4071876-1 s Fuzzy-Menge (DE-588)4061868-7 s DE-604 Wirtschaftstheorie (DE-588)4079351-5 s 1\p DE-604 Gleichgewichtsmodell (DE-588)4125214-7 s 2\p DE-604 Wirtschaftswissenschaften (DE-588)4066528-8 s 3\p DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006915897&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Billot, Antoine Economic theory of fuzzy equilibria an axiomatic analysis Ensembles flous ram Mathématiques économiques ram Prise de décision ram Équilibre (économie politique) ram Equilibrium (Economics) Decision making Fuzzy sets Economics, Mathematical Gleichgewichtsmodell (DE-588)4125214-7 gnd Wirtschaftstheorie (DE-588)4079351-5 gnd Wirtschaftswissenschaften (DE-588)4066528-8 gnd Gleichgewichtstheorie (DE-588)4071876-1 gnd Fuzzy-Menge (DE-588)4061868-7 gnd |
| subject_GND | (DE-588)4125214-7 (DE-588)4079351-5 (DE-588)4066528-8 (DE-588)4071876-1 (DE-588)4061868-7 (DE-588)4113937-9 |
| title | Economic theory of fuzzy equilibria an axiomatic analysis |
| title_auth | Economic theory of fuzzy equilibria an axiomatic analysis |
| title_exact_search | Economic theory of fuzzy equilibria an axiomatic analysis |
| title_full | Economic theory of fuzzy equilibria an axiomatic analysis Antoine Billot |
| title_fullStr | Economic theory of fuzzy equilibria an axiomatic analysis Antoine Billot |
| title_full_unstemmed | Economic theory of fuzzy equilibria an axiomatic analysis Antoine Billot |
| title_short | Economic theory of fuzzy equilibria |
| title_sort | economic theory of fuzzy equilibria an axiomatic analysis |
| title_sub | an axiomatic analysis |
| topic | Ensembles flous ram Mathématiques économiques ram Prise de décision ram Équilibre (économie politique) ram Equilibrium (Economics) Decision making Fuzzy sets Economics, Mathematical Gleichgewichtsmodell (DE-588)4125214-7 gnd Wirtschaftstheorie (DE-588)4079351-5 gnd Wirtschaftswissenschaften (DE-588)4066528-8 gnd Gleichgewichtstheorie (DE-588)4071876-1 gnd Fuzzy-Menge (DE-588)4061868-7 gnd |
| topic_facet | Ensembles flous Mathématiques économiques Prise de décision Équilibre (économie politique) Equilibrium (Economics) Decision making Fuzzy sets Economics, Mathematical Gleichgewichtsmodell Wirtschaftstheorie Wirtschaftswissenschaften Gleichgewichtstheorie Fuzzy-Menge Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006915897&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT billotantoine economictheoryoffuzzyequilibriaanaxiomaticanalysis |