Email this article A game-theoretic model of TV show “The Voice”
- Authors: Konovalchikova E.N.1, Mazalov V.V.2
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Affiliations:
- Transbaikal State University
- Institute of Applied Mathematical Research, Karelian Research Centre
- Issue: Vol 77, No 8 (2016)
- Pages: 1468-1479
- Section: Mathematical Game Theory and Applications
- URL: https://ogarev-online.ru/0005-1179/article/view/150422
- DOI: https://doi.org/10.1134/S0005117916080130
- ID: 150422
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Abstract
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 (xi, yi), i = 1,..., n. By assumption, the first quality component xi is known to the players and the second one yi 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.
About the authors
E. N. Konovalchikova
Transbaikal State University
Author for correspondence.
Email: konovalchikova_en@mail.ru
Russian Federation, Chita
V. V. Mazalov
Institute of Applied Mathematical Research, Karelian Research Centre
Email: konovalchikova_en@mail.ru
Russian Federation, Petrozavodsk
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