Dueling experts and imperfect verification
In the Dueling Experts Game, adversarial experts strategically produce "good" or "bad" evidence to support their partisan testimony. Good evidence is probative while bad evidence has no evidentiary value. The new feature of this Game is that Judge sometimes erroneously identifies good evidence as bad evidence and vice versa. Along the Game's equilibrium path, each partisan expert produces only good evidence if it supports his side. When favorable good evidence is unavailable, an expert produces bad evidence to support his testimony. Hence, dueling experts always contradict one another. Despite their conflicting testimony, one of the experts invariably produces the available good evidence for Judge. Therefore, Judge always receives the available good evidence. A central result is that the quality of experts, including their ability to persuade judges using available good evidence, and the quality of judges - their ability to distinguish good from bad evidence - determine the accuracy of verdicts. Remarkably, the likelihood that experts are endowed with good evidence does not matter provided that this likelihood is not identically zero or one.
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