We propose and characterize a class of stochastic decision functions for a decision-maker who has a capacity for processing at most $k$-alternatives at a time. When faced with a menu containing more than $k$ alternatives, she randomly chooses a sub-menu of size $k$ with uniform probability and selects the best alternative according to a strict ordering $\succ$. For smaller menus, she chooses the best alternative according to $\succ$.

中文翻译：

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具有有限处理能力的随机选择

我们为最多具有处理能力的决策者提出并描述了一类随机决策函数$k$-一次选择。当面对包含超过$k$备选方案，她随机选择大小的子菜单$k$具有统一的概率，并根据严格的顺序选择最佳方案$\succ$. 对于较小的菜单，她根据$\succ$.