Final published version
Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Declining valuations in sequential auctions
AU - Kittsteiner, T.
AU - Nikutta, J.
AU - Winter, E.
PY - 2004/12
Y1 - 2004/12
N2 - We analyze an independent private values model where a number of objects are sold in sequential first- and second-price auctions. Bidders have unit demand and their valuation for an object is decreasing in the rank number of the auction in which it is sold. We derive efficient equilibria if prices are announced after each auction or if no information is given to bidders. We show that the sequence of prices constitutes a supermartingale. Even if we correct for the decrease in valuations for objects sold in later auctions we find that average prices are declining.
AB - We analyze an independent private values model where a number of objects are sold in sequential first- and second-price auctions. Bidders have unit demand and their valuation for an object is decreasing in the rank number of the auction in which it is sold. We derive efficient equilibria if prices are announced after each auction or if no information is given to bidders. We show that the sequence of prices constitutes a supermartingale. Even if we correct for the decrease in valuations for objects sold in later auctions we find that average prices are declining.
KW - Declining valuations
KW - Martin-gale property
KW - Price decline
KW - Sequential auctions
U2 - 10.1007/s001820400186
DO - 10.1007/s001820400186
M3 - Journal article
VL - 33
SP - 89
EP - 106
JO - International Journal of Game Theory
JF - International Journal of Game Theory
SN - 0020-7276
IS - 1
ER -