Randall G. McCutcheon
University of Memphis
Several treatments of the Shooting Room Paradox have failed to recognize the crucial role played by its involving a number of players unbounded in expectation. We indicate Reflection violations and/or Dutch Book vulnerabilities in extant ``solutions''and show that the paradox does not arise when the expected number of participants is finite; the Shooting Room thus takes its place in the growing list of puzzles that have been shown to require infinite expectation. Recognizing this fact, we conclude that prospects for a ``straight solution" are dim.
Keywords Shooting Room  Unbounded Expectation  Reflection Principle
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References found in this work BETA

Self-Locating Beliefs.Michael Huemer - 2018 - In Paradox Lost. Palgrave Macmillan. pp. 219-243.
Stopping to Reflect.M. J. Schervish, T. Seidenfeld & J. B. Kadane - 2004 - Journal of Philosophy 101 (6):315-322.

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