Optimal position-building strategies in competition

Fuente: arXiv
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Autor principal: Chriss, Neil A.
Formato: Preprint
Publicado: 2024
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author Chriss, Neil A.
author_facet Chriss, Neil A.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2409_03586
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Optimal position-building strategies in competition
Chriss, Neil A.
Trading and Market Microstructure
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.
title Optimal position-building strategies in competition
topic Trading and Market Microstructure
url https://arxiv.org/abs/2409.03586