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    Clicks and Mortar

    Efficiency and the Internet

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    Price Discrimination

    Uniform versus non-uniform pricing Possibility of arbitrage Uniform pricing

    Uniform pricing is linear pricing

    Tariff T(q)=pq Distribution of surplus and efficiency

    Types of price discrimination

    First degree

    Seller extracts full surplus

    Second degree Partial discrimination based on buyer self-selection into pricing

    category

    Third degree

    Discrimination based on signal correlated with preference

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    Price Discrimination

    First degree discrimination

    Charge each customer her maximum willingness to pay

    Extracts total social surplus from the market

    Resulting allocation is efficient:

    Let p(q) be the inverse demand function. Then the monopolist receives

    p(q) for the qth unit sold. This the monopolists marginal revenue. Profit

    maximization requires that the monopolist produce and sell to the point

    where MR=MC. But this is the same condition that determines the

    competitive equilibrium allocation which is efficient.

    Implementation in monopoly market by two-part tariff

    Let Sc be the competitive consumer surplus

    dqpqpScq

    o

    c

    c

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    Price Discrimination

    Graphically:

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    Price Discrimination

    Suppose there are n buyers each of whom has the

    same demand schedule.

    The monopolist offers a two-part tariff of the form

    The profit per unit sold is then

    where C(q) is the monopolists marginal cost

    if

    if

    00

    0

    q

    qn

    Sqp

    qTcc

    qCn

    Sqpq c

    c

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    Price Discrimination

    Total profit is obtained by integrating the marginal

    profit with respect to q:

    But this is just the total surplus in the market.

    It is straightforward to show that the profit the monopolist

    obtains exceed what she would have gotten at the uniform

    monopoly price. Difficulties with implementing first-degree

    discrimination

    Lack of knowledge about demand

    Heterogeneity of demand

    qCSqp ccc

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    Price Discrimination

    Second-degree price discrimination

    Applicable when buyers are heterogeneous and seller has limited

    information about preferences

    Uses a menu of non-linear tariffs to allow buyers to self-select into

    a pricing scheme (personalized pricing)

    Two-part tariff is a simple example of non-linear pricing scheme

    Digital goods implementation in the form of versioning

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    Price Discrimination

    Tie-in Sales

    Bundling of complementary goods or services leads naturally to a

    two-tier pricing system

    Cameras and film Amusement parks and rides

    Online news subscriptions and access to archived material

    Information tracking and analysis capabilities of the web

    Flip side of targeted advertising

    Track buyer preferences

    Conduct price sensitivity experiments

    Structure pricing tariffs according to data collected

    Dark Side: Privacy Issues

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    Price Discrimination

    Third-degree price discrimination

    Monopolist is able to segment the market using external signals

    about buyer types

    Signals: Age

    Sex

    Occupation

    Location (or referring site)

    New vs. repeat purchases The monopolist then sets a uniform price in each market segment

    to maximize profits from each segment.

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    Price Discrimination

    Model

    N market segments

    pi = price in segment i, qi = quantity sold in segment i

    Di(pi) = segmented demand function q = i Di(pi)

    Assuming a uniform cost function across segments, the monopolists

    profit maximization is then to choose prices for each market segment

    to solve the problem

    i

    ii

    i

    iiippp

    pDCpDpN,...,1

    max

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    Price Discrimination

    The first-order conditions for this problem can be manipulated into

    the form

    The optimal pricing rule then is for the monopolist to set the markup

    over marginal cost (as a percentage of the price) equal to the inverse

    of the elasticity of demand.

    ii

    iiii

    ii

    i

    pD

    pDp

    p

    qCp

    where

    1

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    Price Discrimination

    Some implications of the markup rule

    Market segments with higher demand elasticity will receive a lower

    price

    Greater price sensitivity market segments get lower prices

    Conversely, segments which are less price sensitive will pay higher

    prices

    Welfare analysis for simple cases shows that the overall effects of

    market segmentation are ambiguous. Depending on how price sensitive

    different segments are relative to each other, overall consumer surplusmay be larger or smaller with discrimination than without

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    Price Discrimination

    Privacy Issues

    Sensitivity of personal information

    Medical information and insurance

    Access to credit

    Protection from job actions

    Exposure to spam

    Exposure to price discrimination

    Information value-added Customization of products

    Targeting of useful information about products

    Simplification of transactions

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    Price Discrimination

    The myth of anonymity

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    Price Discrimination

    Internet communications

    Complexity of communication protocols requires tracking

    information

    Packet switching Message fragmented into uniform size packets

    Headers encode information about packet destination using the internet

    protocol (IP) address of the recipient

    Packets routed through network under control of network transmission

    control protocol (TCP)

    TCP checks for errors in packets and will request retransmission ofbad packetspackets can be traced

    Message reconstructed as packets reach destination

    Cookies

    Internet communication is anything but anonymous

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    Price Discrimination

    Protecting content while revealing identity

    Encryption

    Secure communications

    Online payment systems Digital signatures

    Trust relationships

    Legal protections

    Privacy guarantees and the First Amendment (freedom of speech) and

    Fourth Amendment (freedom from unlawful searches)

    Legal restrictions on distribution of personal information disclosed intransactions

    Truth in advertising enforcement of pledges to protect customer

    privacy by firms

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    Price Discrimination

    Market mechanisms for privacy protection

    Service for information arrangements

    Email

    Search

    Online file storage

    Data analysis engines

    Trust relationships

    Trusted independent intermediary verifies content and claims

    Provision for legal intervention by violators

    Better business bureau model

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    Intermediation

    Economic role of intermediaries

    Transactional efficiencies

    Lower costs in inventory holding, product delivery, insurance,

    financing, accounting Inventory and demand issues

    The internet as an information aggregator and transactional role for

    intermediaries in markets for digital goods

    Intermediaries as Experts

    Repeat purchases Incentive to acquire knowledge about product

    Intermediary as Long-term Player

    Ongoing benefit to credibility

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    Intermediation

    Intermediaries as information sources

    Long-term, multi-product intermediaries and reputational

    spillovers

    Intermediary has incentive to ensure high quality in any given productto avoid lost sales in other, unrelated products

    Intermediary role provides a punishment mechanism in the form of

    exclusion of a sellers product if quality lags

    Intermediate production activities

    Combining of separate products in retail bundles

    Particularly germane in the information industry

    News and entertainment content providers combine, package and

    distribute work of individual authors

    CNN, Napster

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    Auctions and Contracts

    Market Efficiency and Competition

    Contracts versus Auctions

    Auctions are competitive but costly to hold when all parties tothe transaction must be present in the same place and time to

    participate

    Contracts are negotiated bilaterally

    Less information about costs

    Less competitive pricing (Ford-Autolite example) Less flexibility if terms change

    Lower cost since contract governs relationship for an extended

    period of time

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    Auctions and Contracts

    Auction Types Direct vs. Reverse

    English vs. Dutch

    Sealed bid vs. open outcry Vickerys Theorem

    If buyers have the same information about an object being sold, arerisk-neutral, and have independent valuations of the object, thenany of the above auction formats will achieve maximum revenue

    for the seller. Key points:

    Uncertainty about value

    Independence of valuations

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    Auctions and Contracts

    Common value auctions

    Most common type of auction

    Valuations are unknown but closely (or perfectly) correlated

    Example: Offshore oil tracts

    Example: Procurement contracts for manufactured intermediate

    products

    The Winners Curse

    Experiment: Auctioning off a jar of money Format

    Sealed Bid

    First price (i.e. highest price wins)

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    Auctions and Contracts

    Information and the Winners Curse

    Distribution of guesses

    Mean guess as best estimate of actual value

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    Auctions and Contracts

    Since the winning bid must be higher than the mean (unless all

    bids are at the mean), if the mean is an accurate estimate of the true

    value, then the winning bid necessarily overstates the value of the

    object at auction, and the winner ends up paying too much for the

    object.

    Optimal bid when faced with the winners curse?

    Shave bids below what you believe the true value to be

    Reduces revenue to the seller

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    Auctions and Contracts

    Reducing the risk of the Winners curse

    Second-price auction

    Highest bid wins, but pays second highest price

    Eliminates incentive to shave bids

    Open outcry auctions

    Allows sharing of information among bidders as to the best guess of

    the true value of the object

    Multi-object auctions

    Discriminatory vs. Uniform

    Potential inefficiencies in sequential auctions

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    Auctions and Contracts

    Example: 2 units to be auctioned

    Buyer 1 values one unit at 10 and 2 at 20

    Buyer 2 values one unit at 9 and 2 at 10

    Simultaneous auction of both units

    Buyer 1 wins with a bid of 10

    Sequential auction: Backward induction

    Suppose Buyer 1 wins in round 1

    To win round 2, Buyer 1 must bid at least 9

    Moving back to round 1, since Buyer 2 values one unit at 9, for Buyer

    1 to win round 1, she must bid at least 9.

    Buyer 1s profit from this is 20-9-9=2.

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    Auctions and Contracts

    Now, suppose Buyer 1 loses in first round.

    Buyer 1 can win in round 2 with a bid of 1, yielding a profit of 10-

    1=9. Hence, Buyer 1 is better of losing in round 1.

    Knowing this, Buyer 2 can win round 1 with a bid of 2. To see why,

    we note the following:

    Buyer 1 can get a profit of 9 by losing round1 and winning round 2.

    Hence, her maximum round 1 bid, if she wins, must yield profit at least

    equal to what she gets if she loses, i.e. 9.

    Letting this bid be x, we need 20-9-x=9 or x=2 and buyer 2 can win in

    round 1 with a bid of 2

    Revenue from the sequential auction is then 2+1=3 so the sequential

    auction is clearly inefficient.