5.2 Ad Auctions

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    FLOWER AUCTIONS IN AMSTERDAM

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    Ad Auctions

    October 2, 2009

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    Overture slide

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    Motivation

    Market inherently interesting

    98% of Googles and ~50% of Yahoos revenues

    Future of advertising

    Unusual auction rules Multiple units, but only one bid. Continuous time.

    Structured market

    Rules. Almost like a lab. Good data. Purely electronic market

    No goods ever shipped anywhere.

    Flexibility to change auction rules from time to time

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    Market history & evolution

    early banner ads(circa 1994)

    Overture (Goto.com)(1997)

    per-impression pricing per-click pricing

    limited targeting keyword targeting

    person-to-personnegotiations

    automated acceptanceof revised bids

    generalized first-price

    auction rules

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    Generalized first price auctions

    Problem: Generalized first price auctions areunstable.

    No pure strategy equilibrium, and bids can beadjusted dynamically. Bidders want to revisetheir bids as often as possible.

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    Edelman and Ostrovsky, 2007

    Yahoo data from June 15, 2002 to June 14, 2003

    1000 top markets

    10,475 bidders18,634,347 bids

    Observe bids at the quarter-hour

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    CyclingTime Market Bidder Bid6/17/2002 6:30 AM 24 13 $5.916/17/2002 6:30 AM 24 810 $5.92

    6/17/2002 6:30 AM 24 14 $5.936/17/2002 6:30 AM 24 13 $5.946/17/2002 6:30 AM 24 60 $5.956/17/2002 6:30 AM 24 14 $5.966/17/2002 6:45 AM 24 810 $5.97

    6/17/2002 6:45 AM 24 13 $5.976/17/2002 11:30 PM 24 13 $9.986/17/2002 11:30 PM 24 14 $9.986/17/2002 11:45 PM 24 14 $10.00

    6/17/2002 11:45 PM 24 60 $10.006/17/2002 11:45 PM 24 13 $10.006/17/2002 11:45 PM 24 810 $10.016/17/2002 11:45 PM 24 14 $10.026/17/2002 11:45 PM 24 13 $5.12

    6/17/2002 11:45 PM 24 14 $5.13

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    Cycling

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    7/18/20020

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    7/18/2002

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    7/24/20022

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    7/24/20029

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    7/24/2002

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    Alternative mechanisms

    Generalized first-price

    Generalized second-price

    Pay the bid of the next-highest bidder

    First implemented by Google (2002),later adopted by Yahoo

    VCG

    Each bidder pays the externality heimposes on others

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    Generalized second-price auctions

    Position Bidder Bid

    1 A $7

    2 B $6

    3 C $5

    Payment

    $6.01

    $5.01

    $0.10

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    Computing VCG payments: example

    Position # clicks

    1 100

    2 80

    Bidder Valuation

    A $8

    B $5

    C $10

    Cs payment:

    C pushes A from 1 to 2C pushes B out completely

    So C should pay $160+$400=$560

    loss of surplus (100-80)*$8=$160 loss of surplus 80*$5=$400

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    GSP in use

    Adv Bid Payment

    A $3.01 $3.01

    B $3.00 $2.81

    C $2.80 $1.11

    D $1.10

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    GSP versus Vickrey and VCG

    With only one slot, GSP is identical tostandard second price auctions (Vickrey, VCG)

    With multiple slots, the mechanisms differ GSP charges bidder i the bid of bidder i+1

    VCG charges bidder i for his externality

    [Googles] unique auction model uses NobelPrize-winning economic theory to eliminate

    that feeling that youve paid too much.- Google marketing materials

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    Truth-telling is not a dominantstrategy under GSP

    Intuition: Sometimes, bid below your true valuation.You may get less traffic, but youll earn greater profits.

    bidder bid

    A $8

    B $5

    Cs valuation: $10

    C bids $10, pays $8 payoff ($10-$8)*100 =$200

    C bids $6, pays $5 payoff ($10-$5)*80 =$400

    Suppose there are 3 bidders but 2 positions.

    Positions have click-through rates 100 and 80.

    $400>$200. So C should place a bid below its valuation.

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    Bidders actual strategies