Optimal Strategies in Best-Choice Game with Incomplete Information — The Voice Show

Vladimir V. Mazalov (), Anna A. Ivashko () and Elena N. Konovalchikova ()
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Vladimir V. Mazalov: Institute of Applied Mathematical Research, Karelian Research Centre, Russian Academy of Sciences, 11, Pushkinskaya str., Petrozavodsk 185910, Russia
Anna A. Ivashko: Institute of Applied Mathematical Research, Karelian Research Centre, Russian Academy of Sciences, 11, Pushkinskaya str., Petrozavodsk 185910, Russia
Elena N. Konovalchikova: Transbaikal State University, 30, Alexandro-Zavodskaya str., Chita 672039, Russia

International Game Theory Review (IGTR), 2016, vol. 18, issue 02, 1-18

Abstract: This paper studies a game-theoretic model of best choice with incomplete information. In this model, players observe a sequence of incoming objects each described by two random quality components. The first component is announced to players and the other one is hidden. Players choose an object based on known information about it. The winner is the player having a higher sum of the quality components than the opponents do. The optimal strategies of the players and their payoffs in the game are derived.

Keywords: Best-choice game; game with incomplete information; threshold strategies; n-person games (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1142/S0219198916400016

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