Geodesic
Game-theoretic model of TV show ``The Voice”
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 7 (2015) no. 2, pp. 14-32

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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". 
@article{MGTA_2015_7_2_a1,
     author = {Elena N. Konovalchikova and Vladimir V. Mazalov},
     title = {Game-theoretic model of {TV} show {``The} {Voice{\textquotedblright}}},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
     pages = {14--32},
     publisher = {mathdoc},
     volume = {7},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2015_7_2_a1/}
}
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Elena N. Konovalchikova; Vladimir V. Mazalov. Game-theoretic model of TV show ``The Voice”. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 7 (2015) no. 2, pp. 14-32. http://geodesic.mathdoc.fr/item/MGTA_2015_7_2_a1/