
An Introduction to Auction Theory
by Menezes, Flavio M.; Monteiro, Paulo K.-
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Summary
Author Biography
Flavio Menezes joined the University of Queensland as a Chair in Economics after more than a decade at the Australian National University, where he was, amongst other responsibilities, the Foundation Director of the Australian Centre of Regulatory Economics. Flavio is also a former part-time Vice President and Senior Consultant with the Regulatory Economics and Public Policy Practice at CRA International in Canberra. Flavio Menezes has published widely in the economics of information and uncertainty. He is regarded as Australasia's leading auction expert. Paulo Monteiro was Associate Professor at Federal University of Rio de Janeiro and then at IMPA (Institute of Pure and Applied Mathematics.) He is presently at the Postgraduate School of Economics of the Getulio Vargas Foundation (FGV-EPGE). Monteiro researches on infinite dimensional general equilibrium theory, mechanism design, and auction theory.
Table of Contents
Introduction | p. 1 |
Preliminaries | p. 5 |
Notation | p. 5 |
Bayesian Nash Equilibrium | p. 6 |
Auctions as Games | p. 9 |
What is an Auction? | p. 9 |
Auction Types | p. 10 |
Auction as Bayesian Games | p. 11 |
Private Values | p. 13 |
The Independent Private Values Model | p. 13 |
First-price Auctions | p. 14 |
Second-price Auctions | p. 18 |
Revenue Equivalence | p. 20 |
Reserve Prices and Entry Fees | p. 22 |
The Correlated Private Values Model | p. 25 |
Second-price Auction | p. 26 |
First-price Auction | p. 27 |
Comparison of Expected Payment | p. 29 |
The Effect of Risk Aversion | p. 32 |
Revenue Comparison | p. 33 |
The Discrete Valuation Case | p. 34 |
Exercises | p. 35 |
Common Value | p. 39 |
An Example with Independent Signals | p. 40 |
First-price Auction | p. 40 |
Second-price Auction Example | p. 42 |
An Example with Correlated Types | p. 42 |
First-price Auction | p. 43 |
Second-price Auction | p. 45 |
The Symmetric Model with Two Bidders | p. 46 |
Second-price Auctions | p. 50 |
First-price Auctions | p. 51 |
Revenue Comparison | p. 54 |
Exercises | p. 55 |
Affiliated Values | p. 57 |
The General Model | p. 58 |
Second-price Auctions | p. 63 |
First-price Auctions | p. 65 |
English Auctions | p. 67 |
Expected Revenue Ranking | p. 68 |
The Effects of Risk Aversion | p. 70 |
Exercises | p. 73 |
Mechanism Design | p. 75 |
The Revelation Principle | p. 75 |
Direct Mechanisms | p. 79 |
Revenue Equivalence and the Optimal Auction | p. 83 |
Some Extensions | p. 89 |
Non-monotonic Marginal Valuation | p. 89 |
Correlated Values | p. 101 |
Several Objects | p. 115 |
Common Values Auction | p. 117 |
Exercises | p. 119 |
Multiple Objects | p. 121 |
Sequential Auctions | p. 122 |
Simultaneous Auctions | p. 124 |
Discriminatory Auctions | p. 125 |
Uniform price Auctions | p. 130 |
Optimal Auction | p. 137 |
Exercises | p. 143 |
Probability | p. 145 |
Probability Spaces | p. 145 |
Uncountable Sample Space Case | p. 147 |
Random Variables | p. 148 |
Random Vectors and their Distribution | p. 150 |
Independence of Random Variables | p. 152 |
The Distribution of the Maximum of Independent Random Variables | p. 152 |
The Distribution of the Second Highest Value | p. 153 |
Mean Value of Random Variables | p. 154 |
Conditional Probability | p. 156 |
Differential Equations | p. 159 |
The Simplest Differential Equation | p. 159 |
Integrating Factor | p. 159 |
Affiliation | p. 161 |
Convexity | p. 165 |
References | p. 169 |
Index of Notations | p. 173 |
Index of Proper Names | p. 175 |
Index | p. 177 |
Table of Contents provided by Ingram. All Rights Reserved. |
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