A game-theoretic model of TV show "The Voice"

This paper proposes a game-theoretic model of the two-player best-choice problem with incomplete information. The players (experts) choose between objects by observing their quality in the form of two components forming a sequence of random variables (x (i) , y (i) ), i = 1,..., n. By assumption, the first quality component x (i) is known to the players and the second one y (i) is hidden. A player accepts or declines an object based on the first quality component only. A player with the maximal sum of the components becomes the winner in the game. The optimal strategies are derived in the cases of independent and correlated quality components.