NON-ZERO-SUM GAMES RELATED TO THE SECRETARY PROBLEM
Minoru Sakaguchi · Journal of the Operations Research Society of Japan · 1980
This note reanalyzes a non-zero-sum game version of the secretary problem recently treated by Kurano, Nakagami and Yasuda [3], under a modified formulation of the problem. The equilibrium derived differs from the former one and has an interesting assymptotic behavior which reconfirms a main theorem formerly proved by Presman and Sonin [4]. The equilibrium value in the limit is a positive number which is a unique root in (0,1/2) of a transcendental equation.