Title
From Coin Tossing To Rock-Paper-Scissors And Beyond: A Log-Exp Gap Theorem For Selecting A Leader
Abstract
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.
Year
DOI
Venue
2017
10.1017/jpr.2016.96
JOURNAL OF APPLIED PROBABILITY
Keywords
Field
DocType
Leader selection, Janken game, recurrence relation, functional equation, Mellin transform, saddle-point method, limit theorem, periodic function, gap theorem, tie
Mellin transform,Periodic function,Combinatorics,Recurrence relation,Gap theorem,Functional equation,Coin flipping,Mathematics
Journal
Volume
Issue
ISSN
54
1
0021-9002
Citations 
PageRank 
References 
0
0.34
2
Authors
3
Name
Order
Citations
PageRank
Michael Fuchs1528.98
Hsien-Kuei Hwang236538.02
Yoshiaki Itoh300.34