A game with three players |
| |
| Institution: | 1. Warwick Manufacturing Group (WMG), The University of Warwick, Coventry CV4 7AL, UK;2. Loughborough Business School, Loughborough University, Loughborough LE11 3TU, UK;1. State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources, School of New Energy, North China Electric Power University, Beijing 102206, China;2. School of Urban Planning and Design, Peking University, Shenzhen 518055, Guangdong Province, China;3. State Grid Hubei Electric Power Co., Ltd, Wuhan 430077, China. |
| |
| Abstract: | In the classical gambling problem (two players with initial capital a1 and a2, respectively) the expected time to ruin is a1a2. Here we extend this problem to three players and prove that the expected time to ruin equals (a1a2a3)/(a1 + a2 + a3 − 2). |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
