Game-theoretic model of TV show "The Voice”

Elena N. Konovalchikova^a, Vladimir V. Mazalov<sup>b

a</sup> Transbaikal State University
^b Institute of Applied Mathematical Research, Karelian Research Center of RAS

Abstract: A game-theoretic model of two-person best-choice problem with non-complete information is proposed. The players (experts) observe a sequence of random vectors $(x_i, y_i), i=1,\ldots,n$ where the value of the first component $x_i$ is known and the second value $y_i$ is hidden. In each stage player can accept the object or reject it. The choice have to made on the base of the value of the first component. A player with maximal value of the sum of the components is winner in the game. The optimal strategies are derived for the dependent and correlated components.

Keywords: best-choice game, incomplete information, threshold strategy, TV show "The Voice".

UDC: 519.86
BBK: 22.18

 English version: Automation and Remote Control, 2016, 77:8, 1468–1479

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