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The ratio of Laplace transforms of powers of a function arises in the contextof auction theory. The question whether a function is uniquely identified bythis ratio has been answered affirmatively, if the function is non-negative,non-decreasing and right analytic.This paper extends the result to a largerclass of functions without monotonicity.A conjecture in the literature saysthat all c\`adl\`ag functions can be identified by the ratio. We disprove thisconjecture by providing simple functions that cannot be identified.

Revisiting the identification problem of a function by the ratio of Laplace transforms of powers