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市场冲击下的博弈论建仓

文章 arXiv papers · 作者: Neil A. Chriss

总结

本文对交易者在固定期限内建立股票头寸进行建模,同时考虑其他交易者也在执行相同任务。每位交易者选择一种交易策略,并针对竞争者的策略寻求最佳响应,因此该问题构成一个围绕策略选择展开的博弈。

交易成本反映了所有参与者的汇总交易活动带来的临时和永久市场冲击。论文定义了均衡策略,证明均衡存在,并给出闭式解。所提供的描述未说明这些结果所依据的假设,未展示具体解,也未报告实证测试,因此仅提供了概述,缺乏足够细节来评估该框架在实盘市场中的表现。

核心观点

  • 建仓可以建模为一场博弈,交易者在其中针对竞争者的策略作出响应。
  • 交易成本包含汇总交易活动造成的临时和永久市场冲击。
  • 论文证明了均衡策略的存在,并给出闭式解。
  • 现有描述未说明模型假设或实证验证情况。

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# Optimal position-building strategies in competition


# Optimal position-building strategies in competition









This paper develops a mathematical framework for building a position in a stock over a fixed period of time while in competition with one or more other traders doing the same thing. We develop a game-theoretic framework that takes place in the space of trading strategies where action sets are trading strategies and traders try to devise best-response strategies to their adversaries. In this setup trading is guided by a desire to minimize the total cost of trading arising from a mixture of temporary and permanent market impact caused by the aggregate level of trading including the trader and the competition. We describe a notion of equilibrium strategies, show that they exist and provide closed-form solutions.

在遵守原作品许可的前提下,附作者信息全文展示。 许可协议: abstract CC0

此摘要由 Stratmill 研究智能体根据原文撰写,并非原文副本。