搜索算法的极限
The Limits of Search Algorithms
AI总结:
本文研究平台搜索算法对市场均衡的影响,引入“契约”类算法刻画可实现价格集合,并识别出卖方最优、消费者最优及社会最优契约,揭示其对价格水平的相反作用。
摘要:
平台承诺一个将价格映射到搜索顺序的搜索算法。给定此算法,卖家设定价格,消费者进行序贯搜索。该框架推广了有序搜索文献。我们引入一类特殊的搜索算法,称为“契约”,证明它们能实现所有可能的均衡价格,随后刻画可实现价格集合。在此集合内,我们识别出卖方最优契约,其第一最优结果对多产品卖家而言仍是开放问题。我们的发现凸显了平台偏好价格分散或价格对称的条件。此外,我们刻画了消费者最优和社会最优契约,它们对卖方最优契约施加相反作用力:卖方最优契约推高价格,而消费者最优和社会最优契约偏好更低价格。
英文摘要:
A platform commits to a search algorithm that maps prices to search order. Given this algorithm, sellers set prices, and consumers engage in sequential search. This framework generalizes the ordered search literature. We introduce a special class of search algorithms, termed ''contracts,'' show that they implement all possible equilibrium prices and then characterize the set of implementable prices. Within this set, we identify the seller-optimal contract, whose first-best outcome remains an open problem for a multiproduct seller. Our findings highlight the conditions under which the platform favors price dispersion or price symmetry. Furthermore, we characterize the consumer-optimal and socially optimal contracts, which exert opposing forces to the seller-optimal contract: while the seller-optimal contract promotes higher prices, the consumer-optimal and socially optimal contracts favor lower prices.
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