Multidimensional screening:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2005
|
| Series: | Studies in Economic Theory
22 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIV, 202 S. |
| ISBN: | 3540239065 |
Staff View
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Record in the Search Index
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|---|---|
| adam_text | SUREN BASOV
MULTIDIMENSIONAL
SCREENING
4Q SPRINGER
CONTENTS
I MATHEMATICA
L PRELIMINARIE
S 1
1 VECTOR CALCULUS 3
1.1 THE MAIN OPERATIONS OF VECTOR CALCULUS:
DIV, GRAD,
AND A 3
1.2 CONSERVATIVE VECTOR FIELDS 5
1.3 CURVILINEAR INTEGRALS AND THE POTENTIAL 7
1.4 MULTIPLE AND REPEATED INTEGRALS 8
1.5 THE FLOW OF A VECTOR FIELD AND THE GAUSS-OSTROGRADSKY
THEOREM 12
1.6 THE CIRCULATION OF A VECTOR FIELD AND THE GREEN FORMULA . 15
1.7 EXERCISES 16
1.8 BIBLIOGRAPHIC NOTES 18
2 PARTIAL DIFFERENTIAL EQUATION
S 19
2.1 THE FIRST ORDER PARTIA
L DIFFERENTIAL EQUATIONS 19
2.1.1 THE COMPLETE INTEGRAL AND TH
E GENERAL INTEGRAL . . 20
2.1.2 THE SINGULAR INTEGRAL 21
2.1.3 THE METHOD OF CHARACTERISTICS 22
2.1.4 COMPATIBLE SYSTEMS OF TH
E FIRST ORDER PDES ...
. 24
2.1.5 THE METHOD OF CHARACTERISTICS FOR A NON-QUASILINEAR
FIRST ORDER PDE 26
2.1.6 EXAMPLES 27
2.2 THE SECOND ORDER PARTIA
L DIFFERENTIAL EQUATIONS 30
XII CONTENTS
2.2.1 LINEAR SECOND ORDER PARTIA
L DIFFERENTIAL EQUATION
S . 30
2.2.2 BOUNDARY VALUE PROBLEMS FOR ELLIPTIC EQUATION
S . . 31
2.2.3 EXAMPLES 32
2.3 GROU
P THEORETIC ANALYSIS OF PARTIA
L DIFFERENTIAL EQUATION
S . 38
2.3.1 ONE PARAMETE
R LIE GROUPS 38
2.3.2 INVARIANCE OF PDES
, SYSTEMS OF PDES
, AN
D BOUNDARY
PROBLEMS UNDER LIE GROUPS 41
2.3.3 CALCULATING A LIE GROUP OF A PD
E 44
2.3.4 CALCULATING INVARIANTS OF TH
E LIE GROU
P 45
2.3.5 EXAMPLES 46
2.4 EXERCISES 47
2.5 BIBLIOGRAPHIC NOTES 49
3 THEOR
Y O
F GENERALIZE
D CONVEXIT
Y 51
3.1 TH
E GENERALIZED FENCHEL CONJUGATES 52
3.2 GENERALIZED CONVEXITY AN
D CYCLIC MONOTONICITY 55
3.3 EXAMPLES 58
3.4 EXERCISES 59
3.5 BIBLIOGRAPHIC NOTES 60
4 CALCULU
S OF VARIATION
S AN
D TH
E OPTIMA
L CONTRO
L 61
4.1 BANACH SPACES AN
D POLISH SPACES 61
4.2 HILBERT SPACES 65
4.3 DUAL SPACE FOR A NORMED SPACE AN
D A HILBERT SPACE ...
. 66
4.4 FRECHET DERIVATIVE OF A MAPPING BETWEEN NORMED SPACES . 69
4.5 FUNCTIONA
L AN
D GATEAU
X DERIVATIVES 71
4.6 EULER EQUATIO
N 73
4.7 OPTIMA
L CONTROL 74
4.8 EXAMPLES 76
4.9 EXERCISES 78
4.10 BIBLIOGRAPHIC NOTES 79
5 MISCELLANEOU
S TECHNIQUE
S 81
5.1 DISTRIBUTIONS AS SOLUTIONS OF DIFFERENTIAL EQUATION
S 81
5.1.1 A MOTIVATING EXAMPLE 82
5.1.2 TH
E SET OF TEST FUNCTIONS AN
D IT
S DUA
L 83
5.1.3 EXAMPLES OF DISTRIBUTION
S 84
5.1.4 TH
E DERIVATIVE OF A DISTRIBUTIO
N 87
5.1.5 TH
E PRODUC
T OF A DISTRIBUTIO
N AN
D A TEST FUNCTION
AN
D TH
E PRODUC
T OF DISTRIBUTION
S 88
5.1.6 TH
E RESULTAN
T OF A DISTRIBUTIO
N AN
D A DILATION ..
. 89
5.1.7 ADJOINT LINEAR DIFFERENTIAL OPERATOR
S AN
D GENERAL
IZED SOLUTIONS OF TH
E PARTIA
L DIFFERENTIAL EQUATION
S . 91
5.2 SOBOLEV SPACES AN
D POINCARE THEOREM 92
5.3 SWEEPING OPERATOR
S AN
D BALAYAGE OF MEASURES 94
CONTENT
S XIII
5.4 COERCIV
E FUNCTIONA
L 9
6
5.5 OPTIMIZATIO
N B
Y VECTO
R SPAC
E METHOD
S 9
6
5.6 CALCULU
S O
F VARIATIO
N PROBLE
M WIT
H CONVEXIT
Y CONSTRAINT
S . 9
8
5.7 SUPERMODULARIT
Y AN
D MONOTON
E COMPARATIV
E STATIC
S ...
. 9
9
5.8 HAUSDORF
F METRI
C O
N COMPAC
T SET
S O
F A METRI
C SPAC
E ...
. 10
3
5.9 GENERALIZE
D ENVELOP
E THEOREM
S 10
7
5.10 EXERCISE
S 10
9
5.11 BIBLIOGRAPHI
C NOTE
S 11
0
II ECONOMICS OF MULTIDIMENSIONAL SCREENING 111
6 TH
E UNIDIMENSIONA
L SCREENIN
G MODE
L 115
6.1 SPENCE-MIRRLEES CONDITION AN
D IMPLEMENTABILITY 116
6.2 THE CONCEPT OF TH
E INFORMATION RENT 119
6.3 THREE APPROACHES TO TH
E UNIDIMENSIONAL RELAXED PROBLEM 119
6.3.1 TH
E DIRECT APPROACH 119
6.3.2 TH
E DUAL APPROACH 120
6.3.3 TH
E HAMILTONIAN APPROACH 121
6.4 HAMILTONIAN APPROACH T
O TH
E COMPLETE PROBLEM 122
6.5 TYPE DEPENDENT PARTICIPATIO
N CONSTRAINT 124
6.6 RANDOM PARTICIPATIO
N CONSTRAINT 126
6.7 EXAMPLES 127
6.8 EXERCISES 133
6.9 BIBLIOGRAPHIC NOTES 134
7 TH
E MULTIDIMENSIONA
L SCREENIN
G MODE
L 135
7.1 TH
E GENERICITY OF EXCLUSION 137
7.2 GENERALIZED CONVEXITY AND IMPLEMENTABILITY 141
7.2.1 IS BUNCHING ROBUST IN TH
E MULTIDIMENSIONAL CASE? . 143
7.3 PAT
H INDEPENDENCE OF INFORMATION RENTS 145
7.4 COST BASED TARIFFS 146
7.5 DIRECT APPROACH AND IT
S LIMITATIONS 148
7.6 DUAL APPROACH FOR
M - N
151
7.6.1 TH
E RELAXED PROBLEM 152
7.6.2 AN ALTERNATIVE APPROACH TO TH
E RELAXED PROBLEM . 153
7.6.3 TH
E COMPLETE PROBLEM 154
7.6.4 TH
E GEOMETRY OF TH
E PARTICIPATIO
N REGION 155
7.6.5 A SUFFICIENT CONDITION FOR BUNCHING 156
7.6.6 TH
E EXTENSION OF TH
E DUAL APPROACH FOR
N M . . .
157
7.7 HAMILTONIAN APPROACH AND TH
E FIRS
T ORDER CONDITIONS ..
. 158
7.7.1 TH
E ECONOMIC MEANING OF TH
E LAGRANGE MULTIPLIERS 161
7.8 SYMMETRY ANALYSIS OF THE FIRS
T ORDER CONDITIONS 161
7.9 TH
E HAMILTONIAN APPROACH T
O TH
E COMPLETE PROBLEM . . . 166
7.10 EXAMPLES AN
D ECONOMIC APPLICATIONS 168
XIV CONTENTS
7.11 EXERCISES
*.
174
7.12 BIBLIOGRAPHI
C NOTE
S 174
8 BEYON
D TH
E QUASILINEA
R CAS
E 177
8.1 TH
E UNIDIMENSIONA
L CAS
E 178
8.2 TH
E MULTIDIMENSIONA
L CAS
E 181
8.2.1 IMPLEMENTABILIT
Y OF A SURPLU
S FUNCTIO
N 182
8.2.2 IMPLEMENTABILIT
Y OF A
N ALLOCATIO
N 183
8.3 TH
E FIRS
T ORDE
R CONDITION
S FOR TH
E RELAXE
D PROBLE
M ...
. 186
8.4. EXERCISES 189
8.5 BIBLIOGRAPHI
C NOTE
S .
?
189
9 EXISTENCE
, UNIQUENESS
, AN
D CONTINUIT
Y O
F TH
E SOLUTIO
N 19
1
9.1 EXISTENC
E AN
D UNIQUENES
S FOR TH
E RELAXE
D PROBLE
M 191
, 9.2 EXISTENC
E OF A SOLUTIO
N FOR TH
E COMPLET
E PROBLE
M 193
9.3 CONTINUIT
Y OF TH
E SOLUTIO
N 194
9.4 BIBLIOGRAPHI
C NOTE
S 196
1
0 CONCLUSION
S 19
7
1
1 REFERENCE
S 199
|
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| id | DE-604.BV019804339 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T20:06:30Z |
| institution | BVB |
| isbn | 3540239065 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-013129862 |
| oclc_num | 58602498 |
| open_access_boolean | |
| owner | DE-19 DE-BY-UBM DE-703 DE-945 DE-706 DE-83 DE-11 DE-188 |
| owner_facet | DE-19 DE-BY-UBM DE-703 DE-945 DE-706 DE-83 DE-11 DE-188 |
| physical | XIV, 202 S. |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | Springer |
| record_format | marc |
| series | Studies in Economic Theory |
| series2 | Studies in Economic Theory |
| spelling | Basov, Suren Verfasser aut Multidimensional screening Suren Basov Berlin [u.a.] Springer 2005 XIV, 202 S. txt rdacontent n rdamedia nc rdacarrier Studies in Economic Theory 22 Econometrische modellen gtt Modèles économétriques Multidimensionale systemen gtt Économétrie Ökonometrisches Modell Econometric models Econometrics Screening (DE-588)4054045-5 gnd rswk-swf Mehrdimensionalität (DE-588)4474159-5 gnd rswk-swf Wirtschaftsmodell (DE-588)4079348-5 gnd rswk-swf Wirtschaftsmodell (DE-588)4079348-5 s Screening (DE-588)4054045-5 s Mehrdimensionalität (DE-588)4474159-5 s DE-604 Studies in Economic Theory 22 (DE-604)BV004683666 22 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013129862&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Basov, Suren Multidimensional screening Studies in Economic Theory Econometrische modellen gtt Modèles économétriques Multidimensionale systemen gtt Économétrie Ökonometrisches Modell Econometric models Econometrics Screening (DE-588)4054045-5 gnd Mehrdimensionalität (DE-588)4474159-5 gnd Wirtschaftsmodell (DE-588)4079348-5 gnd |
| subject_GND | (DE-588)4054045-5 (DE-588)4474159-5 (DE-588)4079348-5 |
| title | Multidimensional screening |
| title_auth | Multidimensional screening |
| title_exact_search | Multidimensional screening |
| title_full | Multidimensional screening Suren Basov |
| title_fullStr | Multidimensional screening Suren Basov |
| title_full_unstemmed | Multidimensional screening Suren Basov |
| title_short | Multidimensional screening |
| title_sort | multidimensional screening |
| topic | Econometrische modellen gtt Modèles économétriques Multidimensionale systemen gtt Économétrie Ökonometrisches Modell Econometric models Econometrics Screening (DE-588)4054045-5 gnd Mehrdimensionalität (DE-588)4474159-5 gnd Wirtschaftsmodell (DE-588)4079348-5 gnd |
| topic_facet | Econometrische modellen Modèles économétriques Multidimensionale systemen Économétrie Ökonometrisches Modell Econometric models Econometrics Screening Mehrdimensionalität Wirtschaftsmodell |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013129862&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV004683666 |
| work_keys_str_mv | AT basovsuren multidimensionalscreening |