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(1) See Bresnahan (1989) on empirical models of oligopolistic
markets and Hendricks and Porter (forthcoming) and Athey and Haile
(forthcoming) for reviews of the recent empirical literature on
auctions. Klemperer (2003) and Einav (2004) clarify the connections
between oligopoly models and auction models.
(2) Several other papers use "outside" estimates of
marginal cost to measure price-cost margins and test strategic oligopoly
models. For example, Genesove and Mullin (1998) analyze the sugar
industry in the early 20th century. Hendricks, Porter, and Boudreau
(1987) investigate the ex post returns of bidders in Outer Continental
Shelf oil and gas lease auctions using drilling and production data from
auctioned tracts. Bajari and Hortacsu (2005) use experimental data with
assigned bidder valuations to gauge the performance of structural
econometric models of auctions.
(3) Ausubel and Cramton (2002), Wang and Zender (2002), Hortacsu
(2002b), and Viswanathan, Wang, and Witelski (2002) develop this
theoretical framework further. See Cramton (2004) for a particularly
accessible account of these models.
(4) Wolak (2000) and Bushnell, Mansur, and Saravia (forthcoming)
also point out that forward contract positions are important
determinants of bidding behavior.
(5) The SFE model has been influential in the modelling and
analysis of electricity markets, as in Green and Newbery (1992), Green
(1996), Rudkevich (1999), Baldick, Grant, and Kahn (2004), and Crawford,
Crespo, and Tauchen (forthcoming).
(6) Sweeting (2007), in contrast, makes the assumption that the
generators have 80% contract cover, and tests robustness to alternative
assumptions.
(7) Wolak (2003a) demonstrates how one can obtain contract
quantities under the assumption of profit maximization. Because our goal
is to test profit maximization, the method proposed by Wolak is not
feasible in our context.
(8) See Wilson (2002) and Joskow (2000) for more detailed
discussions of transactions in restructured electricity markets. Further
details on the ERCOT market are in Baldick and Niu (2005).
(9) Examples of both the bidding and operations interfaces can be
found in a supplementary materials Section at
econweb.tamu.edu/puller/HPsupplementary.htm. We thank the real time
trading desk at Bryan Texas Utilities and Reliant/TexasGenco for
allowing us to visit and observe their trading desk and allowing us to
interview their traders. A variety of other market participants provided
very helpful insights into trading in the balancing market.
(10) To compare this with other intervals, the average MW
transacted across all intervals varies only slightly over the day with
an average volume of 890. Note that because firms can submit only one
bid function for each hour, optimal bids must cover a wide range of
possible demand quantities. Demand varies by an average of 617 MW during
each 6:00-7:00 pm bidding hour.
(11) In our application, we assume that demand is perfectly
inelastic. However, our model generalizes to the ease where D'(p)
[less than or equal to] 0.
(12) Although the analysis of the two-stage game with endogenous
contract quantity choices adds a further and interesting strategic
dimension, we found that traders who negotiate forward contracts and
traders who bid in the balancing (real-time) market are distinct, and
often belong to different trading desks. Thus, our model can be thought
of as applying to the real-time trader.
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