標題: FROM COIN TOSSING TO ROCK-PAPER-SCISSORS AND BEYOND: A LOG-EXP GAP THEOREM FOR SELECTING A LEADER
作者: Fuchs, Michael
Hwang, Hsien-Kuei
Itoh, Yoshiaki
應用數學系
Department of Applied Mathematics
關鍵字: Leader selection;Janken game;recurrence relation;functional equation;Mellin transform;saddle-point method;limit theorem;periodic function;gap theorem;tie
公開日期: 1-三月-2017
摘要: A class of games for finding a leader among a group of candidates is studied in detail. This class covers games based on coin tossing and rock-paper-scissors as special cases and its complexity exhibits similar stochastic behaviors: either of logarithmic mean and bounded variance or of exponential mean and exponential variance. Many applications are also discussed.
URI: http://dx.doi.org/10.1017/jpr.2016.96
http://hdl.handle.net/11536/145352
ISSN: 0021-9002
DOI: 10.1017/jpr.2016.96
期刊: JOURNAL OF APPLIED PROBABILITY
Volume: 54
起始頁: 213
結束頁: 235
顯示於類別:期刊論文