McCutcheon, Randall (2018) Unbounded expectations and the Shooting Room. [Preprint]

Preview

Text gigo7a.pdf Download (258kB) | Preview

Abstract

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.

---

Export/Citation:

EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL

Social Networking:

Share |

---

Item Type:	Preprint
Creators:	Creators Email ORCID McCutcheon, Randall cutch17@yahoo.com 0000-0002-5305-3662
Keywords:	Shooting Room, Countable Additivity, Reflection
Subjects:	General Issues > Decision Theory Specific Sciences > Probability/Statistics
Depositing User:	Dr. Randall G. McCutcheon
Date Deposited:	28 Sep 2018 17:23
Last Modified:	28 Sep 2018 17:23
Item ID:	15069
Subjects:	General Issues > Decision Theory Specific Sciences > Probability/Statistics
Date:	19 September 2018
URI:	https://philsci-archive.pitt.edu/id/eprint/15069

Available Versions of this Item

• Unbounded expectations and the Shooting Room. (deposited 20 Sep 2018 18:14)
  • Unbounded expectations and the Shooting Room. (deposited 28 Sep 2018 17:23) [Currently Displayed]
    • Unbounded expectations and the Shooting Room. (deposited 03 May 2019 21:55)

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Actions (login required)

View Item