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Sequential games

Published online by Cambridge University Press:  14 July 2016

Kyle Siegrist*
Affiliation:
University of Alabama in Huntsville
John Steele*
Affiliation:
University of Alabama in Huntsville
*
Postal address: Department of Mathematical Sciences, University of Alabama in Huntsville, Huntsville, AL 35899, USA.
Postal address: Department of Mathematical Sciences, University of Alabama in Huntsville, Huntsville, AL 35899, USA.

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.

Type
Research Papers
Copyright
Copyright © by the Applied Probability Trust 2001 

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