arXiv Open Access 2023

A multi-agent targeted trading equilibrium with transaction costs

Jin Hyuk Choi Jetlir Duraj Kim Weston
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Abstrak

We prove the existence of a continuous-time Radner equilibrium with multiple agents and transaction costs. The agents are incentivized to trade towards a targeted number of shares throughout the trading period and seek to maximize their expected wealth minus a penalty for deviating from their targets. Their wealth is further reduced by transaction costs that are proportional to the number of stock shares traded. The agents' targeted number of shares is publicly known, making the resulting equilibrium fully revealing. In equilibrium, each agent optimally chooses to trade for an initial time interval before stopping trade. Our equilibrium construction and analysis involves identifying the order in which the agents stop trade. The transaction cost level impacts the equilibrium stock price drift. We analyze the equilibrium outcomes and provide numerical examples.

Topik & Kata Kunci

Penulis (3)

J

Jin Hyuk Choi

J

Jetlir Duraj

K

Kim Weston

Format Sitasi

Choi, J.H., Duraj, J., Weston, K. (2023). A multi-agent targeted trading equilibrium with transaction costs. https://arxiv.org/abs/2306.08519

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Tahun Terbit
2023
Bahasa
en
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arXiv
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Open Access ✓