Present-Biased Lobbyists in Linear Quadratic Stochastic Differential Games

• Tác giả: Ali Lazrak, Hanxiao Wang, Jiongmin Yong
• Ngôn ngữ: eng
• Ký hiệu phân loại: 324.4 Interest and pressure groups
• Thông tin xuất bản: 2023
• Bộ sưu tập: Báo, Tạp chí
• ID: 197006

Tóm tắt

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.