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Article

Insider Trading with Semi-Informed Traders and Information Sharing: The Stackelberg Game

1
Department of Mathematics and Natural Sciences, Gulf University for Science and Technology, P.O. Box 7207, Hawally 32093, Kuwait
2
Center of Applied Mathematics and Bioinformatics (CAMB), Gulf University for Science and Technology, P.O. Box 7207, Hawally 32093, Kuwait
3
Department of Economics and Finance, Gulf University for Science and Technology, P.O. Box 7207, Hawally 32093, Kuwait
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Mathematics 2023, 11(22), 4580; https://doi.org/10.3390/math11224580
Submission received: 29 June 2023 / Revised: 16 October 2023 / Accepted: 24 October 2023 / Published: 8 November 2023
(This article belongs to the Special Issue Game and Decision Theory Applied to Business, Economy and Finance)

Abstract

This paper presents a financial Stackelberg game model with two partially informed risk neutral insiders. Each insider receives a private signal about the stock value and competes with the other insider under a Stackelberg setting. Linear strategies for the game’s participants are considered and normal distributions for the fundamentals are assumed. Based on the Stackelberg game and the Backward Induction theory, the unique linear equilibrium is characterized. The findings reveal that the level of partial information might increase/decrease the insiders’ profits as well as the market parameter in the Stackelberg setting relative to the Cournot setting. Additionally, this paper considers the information sharing scenario between the two insiders competing in this Stackelberg game. The results show that multiple equilibria exist in contrast to the information sharing scenario in the Cournot game where the Nash equilibrium is unique.
Keywords: insider trading; risk neutrality; partial information; Stackelberg structure; Kyle model insider trading; risk neutrality; partial information; Stackelberg structure; Kyle model

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MDPI and ACS Style

Daher, W.; Karam, F.; Ahmed, N. Insider Trading with Semi-Informed Traders and Information Sharing: The Stackelberg Game. Mathematics 2023, 11, 4580. https://doi.org/10.3390/math11224580

AMA Style

Daher W, Karam F, Ahmed N. Insider Trading with Semi-Informed Traders and Information Sharing: The Stackelberg Game. Mathematics. 2023; 11(22):4580. https://doi.org/10.3390/math11224580

Chicago/Turabian Style

Daher, Wassim, Fida Karam, and Naveed Ahmed. 2023. "Insider Trading with Semi-Informed Traders and Information Sharing: The Stackelberg Game" Mathematics 11, no. 22: 4580. https://doi.org/10.3390/math11224580

APA Style

Daher, W., Karam, F., & Ahmed, N. (2023). Insider Trading with Semi-Informed Traders and Information Sharing: The Stackelberg Game. Mathematics, 11(22), 4580. https://doi.org/10.3390/math11224580

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