First-Price Procurement Auctions

نویسندگان

  • Nicole Immorlica
  • David R. Karger
  • Evdokia Nikolova
  • Rahul Sami
چکیده

We study markets in which an auctioneer wishes to assemble a team of agents to accomplish some task. These agents offer fixed services that incur some privately known cost. The auctioneer must select a team, or feasible set of agents, that is capable of performing the task. To this end, he designs a procurement auction in which he solicits bids from the agents and then selects some feasible set of agents (the winners) to perform the task at hand and pays them according to the rules of the auction. One possible mechanism for procurement auctions is the Vickrey-Clark-Groves (VCG) mechanism. However, a drawback of this mechanism is the potentially large overpayment: the payment of the auctioneer may greatly exceed the true cost of even the second-cheapest feasible set. We thus propose and analyze variants on first-price auctions, or auctions in which the team with the lowest bid is selected and pays their bid. These auctions are not truthful; instead, we motivate analyzing their properties in a strong -Nash equilibrium. We show that in general procurement settings, strong -Nash exist, and the feasible set of agents selected in any strong -Nash equilibrium is approximately efficient. For path and flow auctions, we bound the total payment to the winning agents by relating it to the true cost of routing one additional unit of demand (assuming all edges have unit capacity). Finally, we study the setting in which the demand of the auctioneer is not known, but rather the auctioneer and bidders share a common prior belief regarding the amount of demand. For this model, we design a first-price mechanism involving two-parameter bids and derive a bound on the payments of this mechanism similar to that of the known demand case.

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تاریخ انتشار 2010