Geodesic
One game-theoretical tender model
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 1 (2015), pp. 25-32

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In the paper game-theoretical tender model is suggested. The model uses the idea of competitive prediction of a random variable, which could have defective distribution. The value of player's reward depends on the accuracy of predictions made by the player. The economic motivation of the considered payoff function is proposed. The tender model is considered as the non-zero sum game of two or three persons with proposed payoff function. The game is defined on the unit square with a continuous payoff function as a result of the variable change. Strategy sets of the players are segments of unit length. Equilibria in pure strategies are found for the suggested game-theoretic models. Bibliogr. 9.
Keywords: competitive prediction, defective probability distribution, equilibrium in pure strategies, tender. 
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     author = {A. V. Bure},
     title = {One game-theoretical tender model},
     journal = {Vestnik Sankt-Peterburgskogo universiteta. Prikladna\^a matematika, informatika, processy upravleni\^a},
     pages = {25--32},
     publisher = {mathdoc},
     number = {1},
     year = {2015},
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     url = {http://geodesic.mathdoc.fr/item/VSPUI_2015_1_a2/}
}
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A. V. Bure. One game-theoretical tender model. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 1 (2015), pp. 25-32. http://geodesic.mathdoc.fr/item/VSPUI_2015_1_a2/