An Infinite Decision Puzzle

Theory and Decision 46 (1):101-103 (1999)
Abstract
We tell a story where an agent who chooses in such a way as to make the greatest possible profit on each of an infinite series of transactions ends up worse off than an agent who chooses in such a way as to make the least possible profit on each transaction. That is, contrary to what one might suppose, it is not necessarily rational always to choose the option that yields the greatest possible profit on each transaction
Keywords Decision theory  Dutch book  Puzzles
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DOI 10.1023/A:1005094023022
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A Proof of the Impossibility of Completing Infinitely Many Tasks.Jeremy Gwiazda - 2012 - Pacific Philosophical Quarterly 93 (1):1-7.
A Paradox for Supertask Decision Makers.Andrew Bacon - 2011 - Philosophical Studies 153 (2):307.
Stakes and Beliefs.Brad Armendt - 2009 - Philosophical Studies 147 (1):71 - 87.
Infinite Exchange Problems.Michael Scott & Alexander Scott - 2004 - Theory and Decision 57 (4):397-406.

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