论文标题
竞争匪徒:竞争下探索的危险
Competing Bandits: The Perils of Exploration Under Competition
论文作者
论文摘要
大多数在线平台都在努力从与用户的互动中学习,许多人从事探索:为了获取新信息而做出潜在的次优选择。我们研究探索与竞争之间的相互作用:这样的平台如何平衡学习探索和用户的竞争。在这里,用户扮演三个不同的角色:他们是产生收入的客户,他们是学习的数据来源,并且是自私的代理商,可以在竞争平台中进行选择。 我们考虑了一种风格化的双重垄断模式,其中两家公司面临着相同的多军强盗问题。用户一一到达,并在两家公司之间进行选择,因此,只有在选择它的情况下,每个公司都会在其强盗问题上取得进展。通过理论结果和数值模拟的混合,我们研究了竞争是否会激发更好的Bandit算法的采用,以及它是否导致用户增加福利。我们发现,Stark竞争会导致公司致力于导致低福利的“贪婪”强盗算法。但是,通过向公司提供一些“免费”用户来激励更好的探索策略并增加福利来削弱竞争。我们研究了两个削弱竞争的渠道:放松用户的合理性,并为一家公司带来首次推动者的优势。我们的发现与“竞争与创新”关系密切相关,并阐明了数字经济中的第一步优势。
Most online platforms strive to learn from interactions with users, and many engage in exploration: making potentially suboptimal choices for the sake of acquiring new information. We study the interplay between exploration and competition: how such platforms balance the exploration for learning and the competition for users. Here users play three distinct roles: they are customers that generate revenue, they are sources of data for learning, and they are self-interested agents which choose among the competing platforms. We consider a stylized duopoly model in which two firms face the same multi-armed bandit problem. Users arrive one by one and choose between the two firms, so that each firm makes progress on its bandit problem only if it is chosen. Through a mix of theoretical results and numerical simulations, we study whether and to what extent competition incentivizes the adoption of better bandit algorithms, and whether it leads to welfare increases for users. We find that stark competition induces firms to commit to a "greedy" bandit algorithm that leads to low welfare. However, weakening competition by providing firms with some "free" users incentivizes better exploration strategies and increases welfare. We investigate two channels for weakening the competition: relaxing the rationality of users and giving one firm a first-mover advantage. Our findings are closely related to the "competition vs. innovation" relationship, and elucidate the first-mover advantage in the digital economy.