We provide a utility representation theorem for the revealed preference of an agent choosing in an arbitrary space endowed with a separable partial order. The result can be applied to construct new revealed preference tests for choices over infinite consumption streams and probability distribution spaces, among other cases of interest in economics. As an illustration, we construct revealed preference tests for best-responding behavior in strategic games and infinite horizon consumption problems.

中文翻译：

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一般揭示偏好的效用表示定理

我们提供了一个效用表示定理，用于揭示代理在具有可分偏序的任意空间中进行选择的偏好。该结果可用于构建新的揭示性偏好测试，以选择无限的消费流和概率分布空间，以及其他对经济学感兴趣的案例。作为说明，我们构建了针对战略游戏中最佳响应行为和无限期消费问题的揭示性偏好测试。