Sequential games
Kyle Siegrist and John Steele
Source: J. Appl. Probab. Volume 38, Number 4
(2001), 1006-1017.
Abstract
We give a general construction of sequential games among multiple players, as well as a construction of the composition of sequential games. We obtain new properties of the optimal class of win-by-k games, including closure under composition and independence between the winner of the game and the number of points played. We obtain new results on the asymptotic efficiency of the n-point, win-by-k games.
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Keywords: Sequential game; composition; coherence; irrelevant point; independence property; efficiency; win-by-k game
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.jap/1011994188
Digital Object Identifier: doi:10.1239/jap/1011994188
Mathematical Reviews number (MathSciNet): MR1876555
Zentralblatt MATH identifier: 1002.60082
Journal of Applied Probability
