arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2012.02893cs.GT
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准线性机构中的非准线性代理

Non-quasi-linear Agents in Quasi-linear Mechanisms

Moshe Babaioff, Richard Cole, Jason Hartline, Nicole Immorlica, Brendan Lucier

摘要:

有金钱的机制通常是在代理人是准线性的假设下设计的,这意味着他们对花钱有线性负效用。我们研究的影响,当代理与非线性(特别是凸)负效用支付参与机制设计的准线性代理。我们首先表明,任何机制,是真实的准线性买家有一个简单的最佳反应函数的买家与非线性负效用的付款,其中每个投标人只是规模缩小她的价值为每个潜在的结果由一个固定的因素,等于她的目标投资回报率(ROI)。我们称这种策略为ROI最优策略。我们证明了一个纳什均衡的存在,代理使用投资回报率最优策略的一般类的分配问题。出于在线市场的动机,我们然后专注于同时第二价格拍卖的添加剂投标人,并表明,所有的投资回报率最优均衡在这种设置实现恒定的因素近似合适的福利和收入基准。

英文摘要:

Mechanisms with money are commonly designed under the assumption that agents are quasi-linear, meaning they have linear disutility for spending money. We study the implications when agents with non-linear (specifically, convex) disutility for payments participate in mechanisms designed for quasi-linear agents. We first show that any mechanism that is truthful for quasi-linear buyers has a simple best response function for buyers with non-linear disutility from payments, in which each bidder simply scales down her value for each potential outcome by a fixed factor, equal to her target return on investment (ROI). We call such a strategy ROI-optimal. We prove the existence of a Nash equilibrium in which agents use ROI-optimal strategies for a general class of allocation problems. Motivated by online marketplaces, we then focus on simultaneous second-price auctions for additive bidders and show that all ROI-optimal equilibria in this setting achieve constant-factor approximations to suitable welfare and revenue benchmarks.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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