Game

two-player formulation

(original) Suppose two players in a lottery game. The first player purchases AA number lottery tickets, and the second player purchases BB number of tickets, for a total of (A+B)(A+B) tickets. Then the probability of AA winning the lottery is

PA=AA+BP_A = \frac{A}{A+B}

(later formulations denote A,BA,B as "effort")

n-player formulation

#incomplete

References

  1. G. Tullock, “Efficient Rent Seeking,” in Efficient Rent-Seeking, Boston, MA: Springer US, 2001, pp. 3–16. doi: 10.1007/978-1-4757-5055-3_2.
  2. Y. He, F. Yao, Y. Yu, X. Qiu, M. Li, and H. Xu, “The Complexity of Tullock Contests,” Apr. 14, 2025, arXiv: arXiv:2412.06444. doi: 10.48550/arXiv.2412.06444.