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**:** 54
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**:** 2015
**:** . . / . 54. .: , 2015. .114-133.

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** (.):** game of the best choice, incomplete information, threshold strategy

**:** - : c . (xi,yi), i = 1...,n, . , . , . , , . .

** (.):** We suggest two approaches to the construction of a twoperson game of the best choice under incomplete information with the priority of the first player and equal player weights. We consider a sequence of independent identically distributed random variables (xi,yi), i = 1...,n, which represent the quality of incoming objects. The first component is announced to players and the second component is hidden. Each player chooses an object based on the information available. A player wins when the sum of quality components of the object she chooses exceeds that of the object chosen by her opponent. Optimal threshold strategies are derived and compared for both approaches.

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