16,045 research outputs found

    PRICES IN SEQUENTIAL AUCTIONS: PRELIMINARY EVIDENCE FROM AUSTRALIAN RARE BOOK AUCTIONS

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    This paper examines price paths in sequential ascending auctions of identical rare books in Australia. Economic theory is inconclusive but suggests prices in sequential auctions of identical objects should follow flat or rising paths. The empirical literature is in several ways unsatisfactory, but points most commonly to falling price paths. Data from rare book auctions promise to overcome some of the problems in the empirical literature. A preliminary examination of rare book auction data from Australia indicates prices tended to be equal in sequential auctions of identical books in the 1980's and 1990's, and unequal in the 1970's. These results are consistent with the conjecture that more mature auction markets feature flatter price paths in sequential auctions of identical assets. Rare book auctions are a context in which further progress on sequential auctions is likely.

    Multi-Unit Open Ascending Price Efficient Auction

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    This paper presents an open ascending price mechanism that allocates efficiently M units of the same good among N bidders with interdependent values The mechanism consists of a number of sequential English auctions with reentry and has the following attributes. In each of the individual auctions all the bidders compete simultaneously in the open ascending price format. The most distinctive feature of the mechanism is that winners are determined first, and then additional auxillary auctions are conducted to determine prices. The total number of auctions depends only on the number of goods to be allocated and not on the number of bidders.Multiple units, Interdependent values, Sequential auctions, Ascending price auction

    Draft Auctions

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    We introduce draft auctions, which is a sequential auction format where at each iteration players bid for the right to buy items at a fixed price. We show that draft auctions offer an exponential improvement in social welfare at equilibrium over sequential item auctions where predetermined items are auctioned at each time step. Specifically, we show that for any subadditive valuation the social welfare at equilibrium is an O(log2(m))O(\log^2(m))-approximation to the optimal social welfare, where mm is the number of items. We also provide tighter approximation results for several subclasses. Our welfare guarantees hold for Bayes-Nash equilibria and for no-regret learning outcomes, via the smooth-mechanism framework. Of independent interest, our techniques show that in a combinatorial auction setting, efficiency guarantees of a mechanism via smoothness for a very restricted class of cardinality valuations, extend with a small degradation, to subadditive valuations, the largest complement-free class of valuations. Variants of draft auctions have been used in practice and have been experimentally shown to outperform other auctions. Our results provide a theoretical justification

    Are eBay auctions efficient? A model with buyer entries

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    I use a sequential-auction model to mimic the environment of Internet auction sites, such as eBay. For a sequence of auctions, new buyers may enter the auction site after some of the auctions has completed and only bid for the remaining auctions. Because an incumbent buyer may have revealed their own valuation in earlier auctions while a new entrant do not, their expectations about the future are asymmetric. As a result, a buyer with a lower valuation may win an auction while a buyer with a higher valuation may restrain from bidding higher, resulting an inefficient allocation. On the contrary, selling the multiple items in a single simultaneous auction results in an efficient outcome. The profit from selling all items together in one simultaneous auction is less than that from selling them sequentially.Internet auction, sequential auctions, affiliated private values

    Sequential vs. Single-Round Uniform-Price Auctions

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    We study sequential and single-round uniform-price auctions with affiliated values. We derive symmetric equilibrium for the auction in which k1 objects are sold in the first round and k2 in the second round, with and without revelation of the first-round winning bids. We demonstrate that auctioning objects in sequence generates a lowballing effect that reduces the first-round price. Total revenue is greater in a single-round, uniform auction for k = k1 + k2 objects than in a sequential uniform auction with no bid announcement. When the first-round winning bids are announced, we also identify a positive informational effect on the second-round price. Total expected revenue in a sequential uniform auction with winning-bids announcement may be greater or smaller than in a single-round uniform auction, depending on the model’s parameters.Multi-Unit Auctions; Sequential Auctions; Uniform-Price Auction; Affiliated Values; Information Revelation

    Three Sequential Cases: from Symmetry to Asymmetry

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    Three critical cases, involving asymmetric and symmetric cases, in the sequential stages of the n-player repeated auctions are analyzed and compared. These cases might arise in a process of sequential, identical or equivalent auctions, where the auction result may reveal information about the strength or competitiveness of the participants. The behaviours of different players are characterized. Generally a player bids more aggressively when facing a strong player rather than a weak player. However a player favours competing with a weak one rather than a strong one. By applying the concept of Conditional Stochastic Dominance, revenues of players and the seller between the three stages are compared. It is proved that in this sequential process the information structure of the auctions changes and the seller’s revenue increases. Finally, this n-player asymmetric auction model can also be used to compare the revenues between high-bid and open auctions and especially the results first derived by Maskin and Riley (2000) in two-player case are proved to be valid in the n-player case.Asymmetric auction; Revenue comparison

    Sequential vs. Single-Round Uniform-Price Auctions

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    We study sequential and single-round uniform-price auctions with affiliated values. We derive symmetric equilibrium for the auction in which k1 objects are sold in the first round and k2 in the second round, with and without revelation of the first-round winning bids. We demonstrate that auctioning objects in sequence generates a lowballing effect that reduces first-round revenue. Thus, revenue is greater in a single-round, uniform auction for k = k1 + k2 objects than in a sequential uniform auction with no bid announcement. When the first-round winning bids are announced, we also identify two informational effects: a positive effect on second-round price and an ambiguous effect on first-round price. The expected first-round price can be greater or smaller than with no bid announcement, and greater or smaller than the expected price in a single-round uniform auction. As a result, total expected revenue in a sequential uniform auction with winning-bids announcement can be greater or smaller than in a single-round uniform auction.Multi-unit auctions, Sequential auctions, Uniform-price auction, Affiliated values, Information revelation
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