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- A Bayesian-optimal mechanism (BOM) is a mechanism in which the designer does not know the valuations of the agents for whom the mechanism is designed, but the designer knows that they are random variables and knows the probability distribution of these variables. A typical application is a seller who wants to sell some items to potential buyers. The seller wants to price the items in a way that will maximize their profit. The optimal prices depend on the amount that each buyer is willing to pay for each item. The seller does not know these amounts, but assumes that they are drawn from a certain known probability distribution. The phrase "Bayesian optimal mechanism design" has the following meaning:
* Bayesian means that we know the probability distribution from which the agents' valuations are drawn (in contrast to prior-free mechanism design, which do not assume any prior probability distribution).
* Optimal means that we want to maximize the expected revenue of the auctioneer, where the expectation is over the randomness in the agents' valuations.
* Mechanism means that we want to design rules that define a truthful mechanism, in which each agent has an incentive to report their true value. (en)
- 贝叶斯最优机制（英語：Bayesian-optimal mechanism，BOM）是一种拍卖机制，这种机制的设计者不知道参与者的出价具体是多少，但是知道这些参与者的出价是一个随机变量和这些随机变量的概率分布。 这种机制的实际应用是卖家向他的潜在客户出售商品，这些卖家希望通过这种机制实现利益最大化。最优的价格取决于每个买家愿意为每件商品支付的金额。卖家不知道买家愿意出价的具体值，但他假设这些出价属于某个已知的概率分布。贝叶斯最优机制一词有如下意涵：
* 贝叶斯的意思是卖家已经知道买家出价的概率分布。
* 最优意味着我们想要使拍卖商的预期收益最大化，在这种情况下，预期收入大于买家估值的预期。
* 机制意味着我们想要设计规则来定义一个真实的机制，在这个机制中，每个参与者都有报告其真实估价的动机。 (zh)
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- 贝叶斯最优机制（英語：Bayesian-optimal mechanism，BOM）是一种拍卖机制，这种机制的设计者不知道参与者的出价具体是多少，但是知道这些参与者的出价是一个随机变量和这些随机变量的概率分布。 这种机制的实际应用是卖家向他的潜在客户出售商品，这些卖家希望通过这种机制实现利益最大化。最优的价格取决于每个买家愿意为每件商品支付的金额。卖家不知道买家愿意出价的具体值，但他假设这些出价属于某个已知的概率分布。贝叶斯最优机制一词有如下意涵：
* 贝叶斯的意思是卖家已经知道买家出价的概率分布。
* 最优意味着我们想要使拍卖商的预期收益最大化，在这种情况下，预期收入大于买家估值的预期。
* 机制意味着我们想要设计规则来定义一个真实的机制，在这个机制中，每个参与者都有报告其真实估价的动机。 (zh)
- A Bayesian-optimal mechanism (BOM) is a mechanism in which the designer does not know the valuations of the agents for whom the mechanism is designed, but the designer knows that they are random variables and knows the probability distribution of these variables. (en)
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- Bayesian-optimal mechanism (en)
- 贝叶斯最优机制 (zh)
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