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From coin tossing to rock-paper-scissors and beyond: a log-exp gap theorem for selecting a leader

  • Michael Fuchs (a1), Hsien-Kuei Hwang (a2) and Yoshiaki Itoh (a3)

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.

Corresponding author
* Postal address: Department of Applied Mathematics, National Chiao Tung University, Hsinchu, 300, Taiwan. Email address:
** Postal address: Institute of Statistical Science, Academia Sinica, Taipei, 115, Taiwan.
*** Postal address: Institute of Statistical Mathematics, 10-3 Midori-cho, Tachikawa, Tokyo, 190-8562, Japan.
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