First-Price Auction
An auction mechanism in which the highest bidder wins and pays their own bid. The rule is simple but the auction is not truthful, as participants have an incentive to shade their bids.
Timeline (last 90 days)
The paper evaluates three auction protocols—first-price, second-price, and Vickrey (credit-conserving)—among which the Vickrey auction with credit constraints produced the most stable profit margins and the highest task success rate.
In the agent market, the formula for each agent's expected value is: E[response reward] - inference cost; the highest bidder wins the right to process the prompt and pays its own bid.
For the general first-price auction, the upper bound of the price of anarchy (PoA) is about 1 - 1/e ≈ 0.63, meaning up to 37% of potential welfare may be lost.
In a second-price auction (Vickrey auction), honest bidding is the dominant strategy, so this mechanism is called an honest mechanism; in a first-price auction, honest bidding is defeated by competitors who underbid, forcing rational players to engage in bid shading.
The first-price auction is not truthful, and participants have an incentive to underbid to obtain higher profits, which may lead to welfare loss.
Classical auction theory proves that the PoA of the first-price auction is at least 1 - 1/e (about 63%), which is a worst-case guarantee that holds for any valuation distribution.
The first-price auction (FPA) is the most natural allocation mechanism: the highest bidder wins the prompt and pays the price it bid.
All Facts (7)
The paper evaluates three auction protocols—first-price, second-price, and Vickrey (credit-conserving)—among which the Vickrey auction with credit constraints produced the most stable profit margins and the highest task success rate.
50%UnverifiedIn the agent market, the formula for each agent's expected value is: E[response reward] - inference cost; the highest bidder wins the right to process the prompt and pays its own bid.
50%UnverifiedFor the general first-price auction, the upper bound of the price of anarchy (PoA) is about 1 - 1/e ≈ 0.63, meaning up to 37% of potential welfare may be lost.
50%UnverifiedIn a second-price auction (Vickrey auction), honest bidding is the dominant strategy, so this mechanism is called an honest mechanism; in a first-price auction, honest bidding is defeated by competitors who underbid, forcing rational players to engage in bid shading.
50%UnverifiedThe first-price auction is not truthful, and participants have an incentive to underbid to obtain higher profits, which may lead to welfare loss.
50%UnverifiedClassical auction theory proves that the PoA of the first-price auction is at least 1 - 1/e (about 63%), which is a worst-case guarantee that holds for any valuation distribution.
50%UnverifiedThe first-price auction (FPA) is the most natural allocation mechanism: the highest bidder wins the prompt and pays the price it bid.
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