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                                SYLLABUS 

    Generally, classes will include at least some of these components: 

      1) an experiment, or discussion of a previous experiment, or both; 
         a round in a tournament 
      2) discussion of problem sets and programming assignments 
      3) discussion of practical matters, including data-gathering and
         experimentation on eBay, your case histories from eBay, news items
      4) discussion of published empirical work, including both field and
         laboratory experiments
      5) development of mathematical theory
     
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Week 1          HOMEWORK: chapter 1 of S3 (Snipers, Shills, & Sharks)
                          Vickrey 1961 (paper #1)
                          assignment 1, DUE Feb 15, in class
            
1    Tue Feb  6 

     o Introduction and outline, course goals, methodologies, 
       common auction forms

1    Thu Feb  8

     o History of auctions, starting with Herodotus, c. 500 B.C.

     o The English auction: Cassady on executing the bid

     o The Japanese Button auction, Dominant strategies, 
       variants of the English: Ascending price and outcry forms

     o Book bids, anticipating eBay.
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Week 2          HOMEWORK: chapter 2 of S3
                          assignment 2, DUE March 1

2    Tue Feb 13 

     o Mail-bid sales, sealed-bid second-price (Vickrey) auctions

     o Buy-or-Bid sales (cf Buy-It-Now on eBay)

     o (Weak) strategic equivalence, English vs. second-price

     o Sealed-bid first-price auctions, Dutch Auctions

     o Strong strategic equivalence 

     o The four canonical action forms and their relationships

     o ticks (= increments), details

     o Spying on some auctions

2    Thu Feb 15

     o Reports on assignment 1. Please hand in short hard copy of
       descriptions of how you did it, maybe with output for a couple
       of examples. Links to your code might be helpful if I want to 
       take a look.

     o Disincentives to truthful bidding

     o Evolution of eBay from mail-bid sales (conceptually anyway), 
       the "California auction" as an abstraction

     o Other online closing rules, Amazon & Yahoo 

     o Taobao, the Chinese online auction site? 

     o The simplest example of revenue equivalence (section A.2)
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Week 3          HOMEWORK: appendix A of S3
                          Katkar & Lucking-Reiley 2000
                          Rasmusen 2006 (on sniping)
                          assignment 3: DUE March 8

3    Tue Feb 20 

     o Preliminary discussion of some empirical work: Lucking-Reiley 1999,
       test of revenue equivalence (see S3 sections 5.9, 5.10, 
       and 6.5.1). To be continued.

     o Some exemplary empirical field work, a senior thesis 
       from Northwestern University: Katkar & Lucking-Reiley 2000:
       "Public vs. Secret Reserve Prices in eBay Auctions:
        Results from a Pokémon Field Experiment", 
        Working Paper, Department of Economics, Vanderbilt University,
        Dec. 5, 2000.

3    Thu Feb 22 

     o Order statistics (section A.4)

     o What is eBay's complete algorithm? Raising your own (high) 
       bid below secret reserve, raising your own (high) bid when 
       you're less than a bidding increment above the second price,
       a simple field experiment. 

     o Application of order statistics: Expected revenue of second-price 
       auctions (A.5)

     o Derivation of first-price equilibrium from scratch for general 
       distribution F (sections A.7, A.8)

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Week 4          HOMEWORK: chapters 3 and 4 of S3
                          part I of Riley & Samuelson 1981 (paper #2)
                          Ockenfels & Roth 2006 (on bidding early)

4    Tue Feb 27 

     o Third-price auctions: their theory and utility 

     o A best response calculation, begin equilibrium of first-price
       IPV auctions

4    Thu Mar  1

     o We'll go over your solutions to assignment 2. Tell us about
       your approach. Show us examples. We have an ethernet connection
       for laptops, and overhead projector if you can make transparencies. 

     o Finish equilibrium of first-price IPV auctions using the explicit
       method

     o eBay as a spectator sport. Some plot histories: Start-End 
       clustering; wars; advantage of sniping; searching up to
       find reserve (chapter 3)
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Week 5          HOMEWORK: chapter 5 and appendix B of S3
                          part II of Riley & Samuelson 1981 (paper #2)
                          Lucking-Reiley 1999 ("Magic on the Internet")
                          Reminder: DUE Thursday, March 8: Assignment 3
                          DUE Tuesday, March 27: one-paragraph written plus 
                           oral report on proposal for term paper projects
 
5    Tue Mar  6 

     o Formulating equilibria in value space 

     o A test of revenue equivalence: D. Lucking-Reiley, "Using field 
       experiments to test revenue equivalence between auction formats: 
       Magic on the internet," American Economic Revue, vol. 89, no. 5, 
       pp. 1063-80, Dec. 1999. See also sections 5.9, 5.10, and 6.5.1.

5    Thu Mar  8 

     o Compare our experiment last class with theory: FP with reserve

     o Discuss assignment #3 (due today) (a) all-pay equilibrium; 
       (b) Frank Robinson's mail-bid sale 

     o Implicit collusion: (a) Missed snipes (Ockenfels & Roth 2006); 
       (b) An equilibrium for early bidding (Rasmusen 2006)
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Week 6          HOMEWORK: chapter 6 of S3 
                          Hossain and Morgan 2004   
                          Roth & Ockenfels 2002 (ending rules)

6    Tue Mar 13 Guest: Paul Provost, Christie's

6    Thu Mar 15

     o Discussion: Reasons for late bidding, reasons for early bidding,
       ending rules on Yahoo and Amazon (Roth & Ockenfels 2002)

     o Revenue of IPV symmetric first-price auctions (section A.9); 
       derive revenue equivalence
     
     o Conditional expectation (section A.10)

     o A stronger version of revenue equivalence, expected payment as 
       a function of your value, and an elegant and famous graphical 
       interpretation (section A.11)

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                                BREAK
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Week 7          HOMEWORK: assignment 3a, DUE April 5
                          Lucking-Reiley 2000a
                          appendix C of S3

7    Tue Mar 27

     o Review of term paper proposals, please prepare brief oral report.
       Class feedback is essential.

     o Average-price auction

7    Thu Mar 29

     o Discussion of Average-price auction

     o Bidder preference revelation and monotonicity of the bidding function

     o A new kind of class experiment, Tournament 1.1

     o Segue to Riley & Samuelson 1981 (appendix B, paper #2): there 
       are more auction forms out there, but sometimes generalizing makes 
       a problem easier! Riley & Samuelson's class of auctions, a more
       general form of revenue equivalence, entry value.
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Week 8          HOMEWORK: Morgan & Steiglitz 2003 ("The Spite Motive...")

     Tue Apr  3

8    o Discussion of Tournament 1.1; then 1.2

     o Quick review of Riley & Samuelson's benchmark theory
       and revenue equivalence 

     o Another prototype term paper---"A test of the revenue 
       equivalence theorem using field experiments on eBay", T. Hossain 
       and J. Morgan, working paper, Princeton University and 
       UC Berkeley, 2004. 

8    Thu Apr  5

     o Assignment 3a is due today, and we'll go over it.   

     o (con't) Review of hypothesis testing; one-sided binomial test

     o Continue Riley & Samuelson 1981 (paper #2), equilibria with reserves,
       optimal choice of reserves

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Week 9          HOMEWORK: appendix D of text 
                          Kagel 1995 chapt. 7   
                          part III of Riley & Samuelson 1981 (paper #2)
                          Bulow & Roberts 1989 (paper #3)

9    Tue Apr 10

     o The sad-loser's auction

     o The Santa-Claus auction

     o All-pay auction with reserve
 
     o Tournament 2.1  
 
     o A matching auction 

9    Thu Apr 12

     o Modeling of tournaments 

     o Tournament 2.2

     o Lucking-Reiley 2000a: "Field experiments on the effects of reserve 
       prices on the internet: More Magic on the internet", another test
       of a result in Riley & Samuelson 1981, namely the effect of reserves 
       on number of bidders, probability of sale, total revenue 

     o Average-price auction, equilibrium
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Week 10          HOMEWORK: Due Thursday, April 26: A one-paragraph
                            progress report for your term paper, with as 
                            sharp a description of your topic as possible, 
                            plus an annotated list of the references you've 
                            read so far.
                           Bulow & Klemperer 1996 (paper #5)
                           assignment 4, DUE May 3

10   Tue Apr 17

     o Results of tournament 2.2

     o Review of the major laboratory experimental work 

     o Kagel's experiments with 3rd-price auctions

     o Risk aversion ==> overbidding in first-price equilibrium

10   Thu Apr 19

     o Risk aversion (con't), revenue ranking, first-price equilibrium 

     o Overbidding and spite (Morgan and Steiglitz 03)

     o Equilibria in tournaments

     o Bidding for Paramount

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Week 11         HOMEWORK: chapter 7 and 8 of S3   
                          Graham & Marshall 1987
                          sections 1-3 of Milgrom & Weber 1982 
                          Myerson and Satterthwaite 1983

11   Tue Apr 24

     o Bidding for Paramount: discussion, analysis

     o Experimental results for the common-value model, Winner's Curse

     o Tournaments and evolutionary biology, pairwise competition
       and the replicator equation (Morgan & Steiglitz 03, "Pairwise
       Competition...") 

11   Thu Apr 26

     o Due: Updated reports on term paper projects, plus references

     o Asymmetric bidders in IPV auctions; discriminatory reserves,
       optimal auctions for asymmetric bidders.

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Week 12         HOMEWORK: sections 1-3 of Milgrom & Weber 1982
                          Myerson and Satterthwaite 1983
                          Morgan 2001
                          Bulow & Klemperer 1994   

12   Tue May  1

     o The revelation principle; Riley and Samuelson auctions are optimal
       selling mechanisms (Appendix C)

     o The importance of an extra bidder: Bulow and Klemperer 1996, 
       "Auctions versus negotiations" (paper #5)

     o DVD excerpt: "I sell Anything" (1934); Spot Cash Cutler and shills

     o An experiment in cheating---collusion 

     o Cassady on shills, rings, etc.

12   Thu May 3 (as time permits)

     o Assignment 4 due Fri (I'll give some hints)

     o How to cheat: Graham & Marshall 1987, "Collusive bidding behavior 
       at single-object second-price and English auctions" (paper #8)

     o Interrelated values: Milgrom & Weber 1982, "Theory of auctions 
       and competitive bidding," affiliated values; linkage principle, 
       revenue ranking

     o An impossibility result for bilateral trade: Myerson and 
       Satterthwaite 1983, "Efficient Mechanisms for Bilateral Trading" 
       (paper #6)

     o Price bubbles in the laboratory (Vernon Smith et al.)

     o Double auctions, asset markets, agent-based simulation

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     o Bulow and Klemperer 1994, "Rational Frenzies and Crashes" 
        --- rational behavior can lead to weird-looking prices
       (paper #7)

     o DVD excerpt: "Dressed to Kill" (1946); Sherlock Holmes and a 
       multi-unit auction

     o Multi-unit auctions: No efficient uniform-price multi-unit auction;
       VCG mechanism. Morgan, "Efficiency in auctions: Theory and practice" (2001)
       (paper #4)