Equilibrium, welfare and uncertainty: beyond Arrow-Debreu
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
London [u.a.]
Routledge
2009
|
| Edition: | 1. publ. |
| Series: | Routledge frontiers of political economy
120 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. [305] - 319 |
| Physical Description: | XVII, 327 S. |
| ISBN: | 0203878736 0415701937 9780415701938 |
Staff View
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Record in the Search Index
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|---|---|
| adam_text | Contents
Preface
xi
Acknowledgements
xiii
Dedication
xiv
Notation
xviii
1
Equilibrium and welfare
1
/. 1
Introduction
1
1.2
The Gale-Nikaido-Debreu lemma and fixed
point theorems
6
1.3
A decentralized exchange economy
10
1.4
Some variations
24
1.5
Cournot—Nash equilibrium in an abstract economy
31
1.6
Pareto optimality
33
1.7
Decentralization: public goods and externalities
38
1.8
The core of an exchange economy
41
1.9
The Arrow-Debreu model
45
1.10
Complements and Details
52
2
Finiteness and comparative statics
65
2.1
Introduction
65
2.2
Preliminaries
66
2.3
Generic finiteness
67
2.4
Comparative statics
73
2.5
The transfer problem
77
2.6
Complements and Details
88
3
Chaotic
tâtonnement
90
3.1
Introduction
90
3.2
Examples of Scarf and Gale
91
3.3
Dynamical systems: preliminaries
94
xvi Contents
3.4
Complexity
95
3.5 Chaos in Cobb-Douglas
economies
97
3.6
Complements and
Details 100
4 Special
structures
101
4.1
Introduction
101
4.2 The Leontief
economy
101
4.3
The two-sector model
105
4.4
Identifying leading sectors: a computational approach
107
4.5
Complements and Details
112
5
Decentralization in infinite horizon economies
113
5.1
Introduction
113
5.2
Decentralized resource allocation mechanisms
114
5.3
An aggregative model of
intertemporal
allocation
116
5.4
On the optimality of competitive programs
128
5.5
Role of competitive prices in achieving optimality: some
further results in the strictly concave case
133
5.6
Intertemporal
decentralized mechanisms
136
5.7
Intertemporal
mechanisms under incomplete information:
an impossibility result
142
5.8
Decentralized evolutionary mechanisms
144
5.9
The overlapping generations model
149
5.10
Equilibrium of dynamic pure exchange models
160
5.11
Complements and Details
167
6
General equilibrium under
uncertainty: complete markets
173
6.1
Introduction
173
6.2
The Arrow-Debreu model: complete markets for present
and future contingent delivery
174
6.3
Diverse information structures
178
6.4
Choice
ofinformation
183
6.5
A critique of the extended Arrow-Debreu economy
184
6.6
Complements and Details
185
7
Radner equilibrium
186
7.1
Introduction
186
7.2
Sequential trading
187
7.3
Existence
192
Contents xvii
7.4
Incomplete
markets with nominal assets: existence
194
7.5
Local uniqueness and Pareto optimality
199
7.6
Complements and Details
201
8
Survival: random exchange economies
207
8.1
Introduction
207
8.2
The
probability
of survival: intrinsic uncertainty in a
Cobb-Douglas economy
209
8.3
An extension
217
8.4
A general model of a random exchange economy
223
8.5
Complements and Details
233
9
Equilibrium with an infinite number of commodities
250
9.1
Introduction
250
9.2
The Peleg-Yaari model
251
9.3
The core of the economy
£:
a digression
253
9.4
Existence of equilibrium
254
9.5
Pareto optimality in the Peleg-Yaari economy
259
9.6
Complements and Details
263
10
An axiomatization of the Walras correspondence in
infinite dimensional spaces
281
10.1
Introduction
281
10.2
The model
282
10.3
Some properties of the Walras correspondence
284
10.4
An axiomatization of the Walras correspondence
285
10.5
Existence of acceptable classes of economies I: countably
many commodities
286
10.6
Existence of acceptable classes of economies II: separable
utilities
289
10.7
Complements and Details
291
11
Appendix
292
References
305
Index
321
|
| adam_txt |
Contents
Preface
xi
Acknowledgements
xiii
Dedication
xiv
Notation
xviii
1
Equilibrium and welfare
1
/. 1
Introduction
1
1.2
The Gale-Nikaido-Debreu lemma and fixed
point theorems
6
1.3
A decentralized exchange economy
10
1.4
Some variations
24
1.5
Cournot—Nash equilibrium in an abstract economy
31
1.6
Pareto optimality
33
1.7
Decentralization: public goods and externalities
38
1.8
The core of an exchange economy
41
1.9
The Arrow-Debreu model
45
1.10
Complements and Details
52
2
Finiteness and comparative statics
65
2.1
Introduction
65
2.2
Preliminaries
66
2.3
Generic finiteness
67
2.4
Comparative statics
73
2.5
The transfer problem
77
2.6
Complements and Details
88
3
Chaotic
tâtonnement
90
3.1
Introduction
90
3.2
Examples of Scarf and Gale
91
3.3
Dynamical systems: preliminaries
94
xvi Contents
3.4
Complexity
95
3.5 Chaos in Cobb-Douglas
economies
97
3.6
Complements and
Details 100
4 Special
structures
101
4.1
Introduction
101
4.2 The Leontief
economy
101
4.3
The two-sector model
105
4.4
Identifying leading sectors: a computational approach
107
4.5
Complements and Details
112
5
Decentralization in infinite horizon economies
113
5.1
Introduction
113
5.2
Decentralized resource allocation mechanisms
114
5.3
An aggregative model of
intertemporal
allocation
116
5.4
On the optimality of competitive programs
128
5.5
Role of competitive prices in achieving optimality: some
further results in the strictly concave case
133
5.6
Intertemporal
decentralized mechanisms
136
5.7
Intertemporal
mechanisms under incomplete information:
an impossibility result
142
5.8
Decentralized evolutionary mechanisms
144
5.9
The overlapping generations model
149
5.10
Equilibrium of dynamic pure exchange models
160
5.11
Complements and Details
167
6
General equilibrium under
uncertainty: complete markets
173
6.1
Introduction
173
6.2
The Arrow-Debreu model: complete markets for present
and future contingent delivery
174
6.3
Diverse information structures
178
6.4
Choice
ofinformation
183
6.5
A critique of the extended Arrow-Debreu economy
184
6.6
Complements and Details
185
7
Radner equilibrium
186
7.1
Introduction
186
7.2
Sequential trading
187
7.3
Existence
192
Contents xvii
7.4
Incomplete
markets with nominal assets: existence
194
7.5
Local uniqueness and Pareto optimality
199
7.6
Complements and Details
201
8
Survival: random exchange economies
207
8.1
Introduction
207
8.2
The
probability
of survival: intrinsic uncertainty in a
Cobb-Douglas economy
209
8.3
An extension
217
8.4
A general model of a random exchange economy
223
8.5
Complements and Details
233
9
Equilibrium with an infinite number of commodities
250
9.1
Introduction
250
9.2
The Peleg-Yaari model
251
9.3
The core of the economy
£:
a digression
253
9.4
Existence of equilibrium
254
9.5
Pareto optimality in the Peleg-Yaari economy
259
9.6
Complements and Details
263
10
An axiomatization of the Walras correspondence in
infinite dimensional spaces
281
10.1
Introduction
281
10.2
The model
282
10.3
Some properties of the Walras correspondence
284
10.4
An axiomatization of the Walras correspondence
285
10.5
Existence of acceptable classes of economies I: countably
many commodities
286
10.6
Existence of acceptable classes of economies II: separable
utilities
289
10.7
Complements and Details
291
11
Appendix
292
References
305
Index
321 |
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| illustrated | Not Illustrated |
| index_date | 2024-07-02T18:32:12Z |
| indexdate | 2024-07-09T21:05:21Z |
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| spelling | Majumdar, Mukul 1944- Verfasser (DE-588)121897036 aut Equilibrium, welfare and uncertainty beyond Arrow-Debreu Mukul Majumdar 1. publ. London [u.a.] Routledge 2009 XVII, 327 S. txt rdacontent n rdamedia nc rdacarrier Routledge frontiers of political economy 120 Literaturverz. S. [305] - 319 Equilibrium (Economics) Uncertainty Welfare economics Wohlfahrt (DE-588)4128491-4 gnd rswk-swf Unsicherheit (DE-588)4186957-6 gnd rswk-swf Wohlfahrtstheorie (DE-588)4066735-2 gnd rswk-swf Gleichgewichtstheorie (DE-588)4071876-1 gnd rswk-swf Gesamtwirtschaftliches Gleichgewicht (DE-588)4156933-7 gnd rswk-swf Unsicherheit (DE-588)4186957-6 s Gesamtwirtschaftliches Gleichgewicht (DE-588)4156933-7 s Wohlfahrt (DE-588)4128491-4 s DE-604 Gleichgewichtstheorie (DE-588)4071876-1 s Wohlfahrtstheorie (DE-588)4066735-2 s DE-188 Erscheint auch als Online-Ausgabe 978-0-203-87873-6 Routledge frontiers of political economy 120 (DE-604)BV010502713 120 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015960419&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Majumdar, Mukul 1944- Equilibrium, welfare and uncertainty beyond Arrow-Debreu Routledge frontiers of political economy Equilibrium (Economics) Uncertainty Welfare economics Wohlfahrt (DE-588)4128491-4 gnd Unsicherheit (DE-588)4186957-6 gnd Wohlfahrtstheorie (DE-588)4066735-2 gnd Gleichgewichtstheorie (DE-588)4071876-1 gnd Gesamtwirtschaftliches Gleichgewicht (DE-588)4156933-7 gnd |
| subject_GND | (DE-588)4128491-4 (DE-588)4186957-6 (DE-588)4066735-2 (DE-588)4071876-1 (DE-588)4156933-7 |
| title | Equilibrium, welfare and uncertainty beyond Arrow-Debreu |
| title_auth | Equilibrium, welfare and uncertainty beyond Arrow-Debreu |
| title_exact_search | Equilibrium, welfare and uncertainty beyond Arrow-Debreu |
| title_exact_search_txtP | Equilibrium, welfare and uncertainty beyond Arrow-Debreu |
| title_full | Equilibrium, welfare and uncertainty beyond Arrow-Debreu Mukul Majumdar |
| title_fullStr | Equilibrium, welfare and uncertainty beyond Arrow-Debreu Mukul Majumdar |
| title_full_unstemmed | Equilibrium, welfare and uncertainty beyond Arrow-Debreu Mukul Majumdar |
| title_short | Equilibrium, welfare and uncertainty |
| title_sort | equilibrium welfare and uncertainty beyond arrow debreu |
| title_sub | beyond Arrow-Debreu |
| topic | Equilibrium (Economics) Uncertainty Welfare economics Wohlfahrt (DE-588)4128491-4 gnd Unsicherheit (DE-588)4186957-6 gnd Wohlfahrtstheorie (DE-588)4066735-2 gnd Gleichgewichtstheorie (DE-588)4071876-1 gnd Gesamtwirtschaftliches Gleichgewicht (DE-588)4156933-7 gnd |
| topic_facet | Equilibrium (Economics) Uncertainty Welfare economics Wohlfahrt Unsicherheit Wohlfahrtstheorie Gleichgewichtstheorie Gesamtwirtschaftliches Gleichgewicht |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015960419&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV010502713 |
| work_keys_str_mv | AT majumdarmukul equilibriumwelfareanduncertaintybeyondarrowdebreu |