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EQUILIBRIUM IN n-PERSON GAME OF SHOWCASE SHOWDOWN

Published online by Cambridge University Press:  23 April 2010

Vladimir Mazalov  and
Anna Ivashko
Vladimir Mazalov
Affiliation:
Institute of Applied Mathematical Research, Karelian Research Center of RAS, Petrozavodsk, Russia E-mail: [email protected], [email protected]
Anna Ivashko
Affiliation:
Institute of Applied Mathematical Research, Karelian Research Center of RAS, Petrozavodsk, Russia E-mail: [email protected], [email protected]
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Abstract

In this article we consider a noncooperative n-person optimal stopping game of Showcase Showdown, in which each player observes the sum of independent and identically distributed random variables uniformly distributed in [0, 1]. Players can decide to stop the draw in each moment. The objective of a player is to get the maximal number of scores that does is not exceeded level 1. If the scores of all players exceed 1, then the winner is the player whose score is closest to 1. We derive the equilibrium in this game on the basis of the dynamic programming approach.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 24 , Issue 3 , July 2010 , pp. 397 - 403
Copyright
Copyright © Cambridge University Press 2010

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