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arXiv · 2304.11577

Present-Biased Lobbyists in Linear Quadratic Stochastic Differential Games

Ali Lazrak·Hanxiao Wang·Jiongmin Yong
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Abstract

We investigate a linear quadratic stochastic zero-sum game where two players lobby a political representative to invest in a wind turbine farm. Players are time-inconsistent because they discount performance with a non-constant rate. Our objective is to identify a consistent planning equilibrium in which the players are aware of their inconsistency and cannot commit to a lobbying policy. We analyze the equilibrium behavior in both single player and two-player cases, and compare the behavior of the game under constant and non-constant discount rates. The equilibrium behavior is provided in closed-loop form, either analytically or via numerical approximation. Our numerical analysis of the equilibrium reveals that strategic behavior leads to more intense lobbying without resulting in overshooting.

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Ali Lazrak, Hanxiao Wang, Jiongmin Yong. 2023-04-23. Present-Biased Lobbyists in Linear Quadratic Stochastic Differential Games. https://arxiv.org/abs/2304.11577

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