On the uniqueness of the mixed equilibrium in the Tullock contest
证明了两人图洛克竞赛在随机策略下存在唯一均衡，解决了竞赛文献中长期悬而未决的问题，证明过程涉及序列空间、柯西矩阵和狄利克雷级数。
It is shown that the two-player Tullock contest admits precisely one equilibrium in randomized strategies. • It is shown that the two-player Tullock contest has a unique mixed-strategy equilibrium. • The analysis addresses a long-standing research question in the contest literature. • The proof utilizes sequence spaces, Cauchy matrices, and Dirichlet series. • The paper also presents a result on infinite Cauchy matrices of independent interest.