Auction theory:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
San Diego, Calif. [u.a.]
Academic Press
2007
|
| Edition: | [Nachdr.] |
| Subjects: | |
| Online Access: | Verlagsinformation Inhaltsverzeichnis |
| Physical Description: | XI, 303 S. graph. Darst. |
| ISBN: | 012426297X 9780124262973 |
Staff View
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Record in the Search Index
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|---|---|
| adam_text | Contents
Preface ix
1 Introduction 1
1 Single Object Auctions 11
2 Private Value Auctions: A First Look 13
2.1 The Symmetrie Model 14
2.2 Second-Price Auctions 15
2.3 First-Price Auctions 16
2.4 Revenue Comparison 20
2.5 Reserve Prices 24
3 The Revenue Equivalence Principle 29
3.1 Main Result 29
3.2 Some Applications of the Revenue Equivalence Principle . . 31
3.2.1 Unusual Auctions 31
3.2.2 Uncertain Number of Bidders 34
4 Qualifications and Extensions 37
4.1 Risk-Averse Bidders 38
4.2 Budget Constraints 42
4.2.1 Second-Price Auctions 43
vi Contents
4.2.2 First-Price Auctions 45
4.2.3 Revenue Comparison 45
4.3 Asymmetries among Bidders 46
4.3.1 Asymmetrie First-Price Auctions with Two Bidders 46
4.3.2 Revenue Comparison 51
4.3.3 Efficiency Comparison 54
4.4 Resale and Efficiency 54
5 Mechanism Design 61
5.1 Mechanisms 62
5.1.1 The Revelation Principle 62
5.1.2 Incentive Compatibility 63
5.1.3 Individual Rationality 67
5.2 Optimal Mechanisms 67
5.2.1 Setup 67
5.2.2 Solution 68
5.2.3 Discussion and Interpretation 71
5.2.4 Auctions versus Mechanisms 75
5.3 Efficient Mechanisms 75
5.3.1 The VCG Mechanism 76
5.3.2 Budget Balance 78
5.3.3 An Application to Bilateral Trade 80
6 Auctions with Interdependent Values 83
6.1 The Symmetrie Model 86
6.2 Second-Price Auctions 87
6.3 English Auctions 90
6.4 First-Price Auctions 92
6.5 Revenue Comparisons 96
6.5.1 English versus Second-Price Auctions 96
6.5.2 Second-Price versus First-Price Auctions 97
6.6 Efficiency 100
7 The Revenue Ranking ( Linkage ) Principle 103
7.1 The Main Result 103
7.2 Public Information 106
7.3 An Alternative Linkage Principle 108
8 Asymmetries and Other Complications 111
8.1 Failures of the Linkage Principle 111
8.2 Asymmetrie Equilibria in Symmetrie Second-Price Auctions 116
8.3 Asymmetrically Informed Bidders 119
8.4 Reserve Prices and Entry Fees 121
Contents vii
9 Efflciency and the English Auction 125
9.1 The Single Crossing Condition 126
9.2 Two-Bidder Auctions 127
9.3 The Average Crossing Condition 130
9.4 Three or More Bidders 131
9.5 Proof of Proposition 9.2 133
9.6 Miscellany 137
10 Mechanism Design with Interdependent Values 141
10.1 Efficient Mechanisms 142
10.2 Optimal Mechanisms 146
11 Bidding Rings 151
11.1 Collusion in Second-Price Auctions 152
11.1.1 Efficient Collusion 154
11.1.2 Reserve Prices in the Face of Collusion 158
11.2 Collusion in First-Price Auctions 160
11 Multiple Object Auctions 163
12 An Introduction to Multiple Object Auctions 165
12.1 Sealed-Bid Auctions for Selling Identical Units 166
12.1.1 Discriminatory Auctions 168
12.1.2 Uniform-Price Auctions 169
12.1.3 Vickrey Auctions 171
12.2 Some Open Auctions 172
12.2.1 Dutch Auctions . 172
12.2.2 English Auctions 172
12.2.3 Ausubel Auctions 173
13 Equilibrium and Efflciency with Private Values 179
13.1 The Basic Model 179
13.2 Vickrey Auctions 181
13.3 Efficiency in Multiunit Auctions 183
13.4 Uniform-Price Auctions 185
13.4.1 Demand Reduction 187
13.4.2 Single-Unit Demand 190
13.5 Discriminatory Auctions 191
13.5.1 Structure of Equilibria 192
13.5.2 Single-Unit Demand 195
14 Some Revenue Considerations 199
14.1 Revenue Equivalence in Multiunit Auctions 200
14.2 Revenue Equivalence with Multiunit Demand: An Example 202
viii Contents
15 Sequential Sales 209
15.1 Sequential First-Price Auctions 209
15.1.1 TwoUnits 210
15.1.2 More than Two Units 213
15.1.3 Equilibrium Bids and Prices 216
15.2 Sequential Second-Price Auctions 217
15.2.1 Revenue Equivalence 217
15.2.2 Equilibrium Bids 218
16 Nonidentical Objects 223
16.1 The Model 223
16.2 Efficient Allocations 225
16.3 Substitutes and Complements 226
16.4 Bundling 228
16.5 Some Computational Issues 230
16.6 Budget Constraints 232
17 Multiple Objects and Interdependent Values 235
17.1 One-Dimensional Signals 235
17.1.1 An Efficient Direct Mechanism 236
17.1.2 Efficiency via Open Auctions 240
17.2 Multidimensional Signals 243
17.2.1 Single Object 244
17.2.2 Multiple Objects 248
III Appendices 251
A Continuous Distributions 253
B Stochastic Orders 259
C Order Statistics 265
D Affiliated Random Variables 269
E Some Linear Algebra 273
F Games of Incomplete Information 279
G Existence of Equilibrium in First-Price Auctions 283
References 289
Index 299
|
| adam_txt |
Contents
Preface ix
1 Introduction 1
1 Single Object Auctions 11
2 Private Value Auctions: A First Look 13
2.1 The Symmetrie Model 14
2.2 Second-Price Auctions 15
2.3 First-Price Auctions 16
2.4 Revenue Comparison 20
2.5 Reserve Prices 24
3 The Revenue Equivalence Principle 29
3.1 Main Result 29
3.2 Some Applications of the Revenue Equivalence Principle . . 31
3.2.1 Unusual Auctions 31
3.2.2 Uncertain Number of Bidders 34
4 Qualifications and Extensions 37
4.1 Risk-Averse Bidders 38
4.2 Budget Constraints 42
4.2.1 Second-Price Auctions 43
vi Contents
4.2.2 First-Price Auctions 45
4.2.3 Revenue Comparison 45
4.3 Asymmetries among Bidders 46
4.3.1 Asymmetrie First-Price Auctions with Two Bidders 46
4.3.2 Revenue Comparison 51
4.3.3 Efficiency Comparison 54
4.4 Resale and Efficiency 54
5 Mechanism Design 61
5.1 Mechanisms 62
5.1.1 The Revelation Principle 62
5.1.2 Incentive Compatibility 63
5.1.3 Individual Rationality 67
5.2 Optimal Mechanisms 67
5.2.1 Setup 67
5.2.2 Solution 68
5.2.3 Discussion and Interpretation 71
5.2.4 Auctions versus Mechanisms 75
5.3 Efficient Mechanisms 75
5.3.1 The VCG Mechanism 76
5.3.2 Budget Balance 78
5.3.3 An Application to Bilateral Trade 80
6 Auctions with Interdependent Values 83
6.1 The Symmetrie Model 86
6.2 Second-Price Auctions 87
6.3 English Auctions 90
6.4 First-Price Auctions 92
6.5 Revenue Comparisons 96
6.5.1 English versus Second-Price Auctions 96
6.5.2 Second-Price versus First-Price Auctions 97
6.6 Efficiency 100
7 The Revenue Ranking ("Linkage") Principle 103
7.1 The Main Result 103
7.2 Public Information 106
7.3 An Alternative Linkage Principle 108
8 Asymmetries and Other Complications 111
8.1 Failures of the Linkage Principle 111
8.2 Asymmetrie Equilibria in Symmetrie Second-Price Auctions 116
8.3 Asymmetrically Informed Bidders 119
8.4 Reserve Prices and Entry Fees 121
Contents vii
9 Efflciency and the English Auction 125
9.1 The Single Crossing Condition 126
9.2 Two-Bidder Auctions 127
9.3 The Average Crossing Condition 130
9.4 Three or More Bidders 131
9.5 Proof of Proposition 9.2 133
9.6 Miscellany 137
10 Mechanism Design with Interdependent Values 141
10.1 Efficient Mechanisms 142
10.2 Optimal Mechanisms 146
11 Bidding Rings 151
11.1 Collusion in Second-Price Auctions 152
11.1.1 Efficient Collusion 154
11.1.2 Reserve Prices in the Face of Collusion 158
11.2 Collusion in First-Price Auctions 160
11 Multiple Object Auctions 163
12 An Introduction to Multiple Object Auctions 165
12.1 Sealed-Bid Auctions for Selling Identical Units 166
12.1.1 Discriminatory Auctions 168
12.1.2 Uniform-Price Auctions 169
12.1.3 Vickrey Auctions 171
12.2 Some Open Auctions 172
12.2.1 Dutch Auctions . 172
12.2.2 English Auctions 172
12.2.3 Ausubel Auctions 173
13 Equilibrium and Efflciency with Private Values 179
13.1 The Basic Model 179
13.2 Vickrey Auctions 181
13.3 Efficiency in Multiunit Auctions 183
13.4 Uniform-Price Auctions 185
13.4.1 Demand Reduction 187
13.4.2 Single-Unit Demand 190
13.5 Discriminatory Auctions 191
13.5.1 Structure of Equilibria 192
13.5.2 Single-Unit Demand 195
14 Some Revenue Considerations 199
14.1 Revenue Equivalence in Multiunit Auctions 200
14.2 Revenue Equivalence with Multiunit Demand: An Example 202
viii Contents
15 Sequential Sales 209
15.1 Sequential First-Price Auctions 209
15.1.1 TwoUnits 210
15.1.2 More than Two Units 213
15.1.3 Equilibrium Bids and Prices 216
15.2 Sequential Second-Price Auctions 217
15.2.1 Revenue Equivalence 217
15.2.2 Equilibrium Bids 218
16 Nonidentical Objects 223
16.1 The Model 223
16.2 Efficient Allocations 225
16.3 Substitutes and Complements 226
16.4 Bundling 228
16.5 Some Computational Issues 230
16.6 Budget Constraints 232
17 Multiple Objects and Interdependent Values 235
17.1 One-Dimensional Signals 235
17.1.1 An Efficient Direct Mechanism 236
17.1.2 Efficiency via Open Auctions 240
17.2 Multidimensional Signals 243
17.2.1 Single Object 244
17.2.2 Multiple Objects 248
III Appendices 251
A Continuous Distributions 253
B Stochastic Orders 259
C Order Statistics 265
D Affiliated Random Variables 269
E Some Linear Algebra 273
F Games of Incomplete Information 279
G Existence of Equilibrium in First-Price Auctions 283
References 289
Index 299 |
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| index_date | 2024-07-02T21:44:43Z |
| indexdate | 2024-07-09T21:20:12Z |
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| isbn | 012426297X 9780124262973 |
| language | English |
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| physical | XI, 303 S. graph. Darst. |
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| spelling | Krishna, Vijay Verfasser (DE-588)104268255 aut Auction theory Vijay Krishna [Nachdr.] San Diego, Calif. [u.a.] Academic Press 2007 XI, 303 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Auktionstheorie Spieltheorie (DE-588)4056243-8 gnd rswk-swf Auktion (DE-588)4125859-9 gnd rswk-swf Unvollkommene Information (DE-588)4140474-9 gnd rswk-swf Auktionstheorie (DE-588)4732699-2 gnd rswk-swf Auktion (DE-588)4125859-9 s Unvollkommene Information (DE-588)4140474-9 s Spieltheorie (DE-588)4056243-8 s 1\p DE-604 Auktionstheorie (DE-588)4732699-2 s 2\p DE-604 application/pdf http://swbplus.bsz-bw.de/bsz274418029vlg.pdf Verlagsinformation HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016682894&sequence=000002&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 |
| spellingShingle | Krishna, Vijay Auction theory Auktionstheorie Spieltheorie (DE-588)4056243-8 gnd Auktion (DE-588)4125859-9 gnd Unvollkommene Information (DE-588)4140474-9 gnd Auktionstheorie (DE-588)4732699-2 gnd |
| subject_GND | (DE-588)4056243-8 (DE-588)4125859-9 (DE-588)4140474-9 (DE-588)4732699-2 |
| title | Auction theory |
| title_auth | Auction theory |
| title_exact_search | Auction theory |
| title_exact_search_txtP | Auction theory |
| title_full | Auction theory Vijay Krishna |
| title_fullStr | Auction theory Vijay Krishna |
| title_full_unstemmed | Auction theory Vijay Krishna |
| title_short | Auction theory |
| title_sort | auction theory |
| topic | Auktionstheorie Spieltheorie (DE-588)4056243-8 gnd Auktion (DE-588)4125859-9 gnd Unvollkommene Information (DE-588)4140474-9 gnd Auktionstheorie (DE-588)4732699-2 gnd |
| topic_facet | Auktionstheorie Spieltheorie Auktion Unvollkommene Information |
| url | http://swbplus.bsz-bw.de/bsz274418029vlg.pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016682894&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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