User talk:Gill110951/Two envelopes problem sources

Two envelopes problem: sources

The following is a list of sources, ordered chronologically, that discuss the well-known two-envelope paradox.

1943

Maurice Kraitchik, Mathematical Recreations, George Allen & Unwin, London. (2nd edition, 1953, Dover publications, New York).

1953

J.E. Littlewood, A Mathematician's Miscellany, Methuen & Co, London.

1982

Martin Gardner, Aha! Gotcha: Paradoxes to Puzzle and Delight, W.H. Freeman and Company, New York, p 106.

1987

Carlos Rodriguez, Understanding Ignorance, Maximum Entropy and Bayesian Methods, pages 189–204. G Erickson and C R Smith (eds.), Kluwer Academic Publishers. [draft]DjVu
Thomas M Cover, Pick the largest number, Open Problems in Communication and Computation, T Cover and B Gopinath, eds., Springer Verlag, p 152.
Laurence McGilvery, 'Speaking of Paradoxes . . .' or Are We?, Journal of Recreational Mathematics 19: 15-19.

1988

Sandy Zabell, Loss and gain: the exchange paradox, J M Bernardo, M H DeGroot, D V Lindley, and A F M. Smith, editors, Bayesian statistics 3, Proceedings of the third Valencia international meeting, pages 233–236. Clarendon Press, Oxford.
Sandy Zabell, Symmetry and and Its Discontents, Brian Skyrms, William Harper, editors, Causation, Chance, and Credence: Proceedings from the Irvine Conference on Probability and Causation, Volume 1, pages 155-190. Kluwer, Dordrecht.
Randall Barron, The paradox of the money pump: a resolution, Maximum Entropy and Bayesian Methods, ed J Skilling.
Barry Nalebuff, Puzzles: Cider in Your Ear, Continuing Dilemma, The Last Shall Be First, and More, The Journal of Economic Perspectives, 2, 149-156.

1989

Barry Nalebuff, Puzzles: The Other Person’s Envelope is Always Greener, Journal of Economic Perspectives 3(1): 171–181.
Martin Gardner, Penrose Tiles to Trapdoor Ciphers and the Return of Dr Matrix, The Mathematical Association of America, W H Freeman, New York, p 148.

1990

R. Guy, Where the Grass is Greener, contributed to column Flaws, Fallacies and Flimflam, College Mathematics Journal, January, p. 35.

1991

Christensen and Utts, Bayesian Resolution of Classical Paradoxes: Two Examples, Technical Report 220, University of California, Davis, Division of Statistics.

1992

Ronald Christensen, Jessica Utts, Bayesian Resolution of the 'Exchange Paradox', The American Statistician 46(4): 274–76.
Raymond Smullyan, Satan, Cantor, and Inﬁnity Alfred A. Knopf. Oxford: Oxford University Press.
David J. Chalmers, The Two-Envelope Paradox: A Complete Analysis?, published online [html]
James Cargile, On a Problem about Probability and Decision, Analysis, 52(4): 211-16.
Ruma Falk and Clifford Konold, The Psychology of Learning Probability, pp. 151-164 in F.S. and S.P. Gordon (eds), Statistics for the Twenty-First Century, The Mathematical Association of America.

1993

David A Binder, Comment on Christensen and Utts (1992), The Amercian Statistician 47(2): 160.
Ronald Christensen, Jessica Utts, Reply to Binder, The American Statistician 47(2): 160.
Terry Ridgway, Comment on Christensen and Utts (1992), The American Statistician 47(4): 311.
Ronald Christensen, Jessica Utts, Reply to Ridgway, The American Statistician 47(4): 311.
Paul Anand, The Philosophy of Intransitive Preference, The Economic Journal 103(417): 337-346. [jstor]

1994

Jordan Howard Sobel, Two Envelopes, Theory and Decision, 36: 69–96.
Frank Jackson, Peter Menzies, Graham Oppy, The Two Envelope 'Paradox', Analysis 54(1): 43–45.
Paul Castell, Diderik Batens, The Two Envelope Paradox: The Infinite Case, Analysis 54(1): 46–49.
Piers Rawling. A note on the two envelopes problem Theory and Decision 36(1): 97-102.
Elliot Linzer, The Two Envelope Paradox, The American Mathematical Monthly 101(5): 417-419.
Sheldon M Ross, Comment on Christensen and Utts (1992), The American Statistician 48(3): 267.
Ronald Christensen, Jessica Utts, Reply to Ross, The American Statistician 48(3): 268.

1995

John Broome, The Two-envelope Paradox, Analysis 55: 6–11.
Charles Chihara, The Mystery of Julius: A Paradox in Decision Theory Philosophical Studies 80: 1–16.
S J Brams, D M Kilgour, The box problem: To switch or not to switch Mathematics Magazine 68: 27–34.
Kyung Chae, A resolution of the ’exchange paradox’, Int. J. Math. Educ. Sci. Technol. 26(4): 553-558.

1996

Nelson M Blachman, Ronald Christensen, Jessica Utts and David J Finney, Comment on Christensen and Utts, Bayesian resolution of the ‘Exchange Paradox’(1992), The American Statistician 50(1): 98–99 [jstor]
F T Bruss, The Fallacy of the Two Envelopes Problem, The Mathematical Scientist 21(2): 112–119.

1997

McGrew, Shier, Silverstein, The Two-Envelope Paradox Resolved Analysis 57(1): 28–33.
Alexander D Scott, Michael Scott, What’s in the Two Envelope Paradox? Analysis 57(1): 34–41.
Frank Arntzenius, David McCarthy, The two envelope paradox and infinite expectations, Analysis 57(1): 42–50.
Piers Rawling, Perspectives on a pair of envelopes, Theory and Decision 43: 253–277.
K G Merryﬁeld, N Viet, S Watson, The Wallet Paradox Amer. Math. Monthly 104(7): 647-649.
Raymond Smullyan, The Riddle of Scheherazade, and Other Amazing Puzzles, Ancient and Modern Knopf, New York.

1998

John D Norton, When the sum of our expectations fails us: The exchange paradox Pacific Philosophical Quarterly 79: 34–58. [pdf]
S J Brams, D M Kilgour, The fallacy of the two envelopes problem, Mathematical Scientist 23: 58–59.

1999

Carl G Wagner, Misadventures in conditional expectation: The two-envelope problem, Erkenntnis 51: 233–241.

2000

M Clark, N Shackel, The Two-Envelope Paradox, Mind 109(435): 415–442.
Wilfried Hausmann, On The Two Envelope Paradox, unpublished?
Terry Horgan, The Two-Envelope Paradox, Nonstandard Expected Utility, and the Intensionality of Probability, Noûs 34(4): 578-603.
Z Schuss, To switch or not to switch, this is the question!, unpublished.
Ian Stewart, Mathematical Recreations: Paradox Lost Scientiﬁc American 6: 88–89.
Christopher M. Langan, Paradox Resolved: The Kraitchik and 2-Envelopes Paradoxes, unpublished [html]

2001

Olav Gjelsvik, Can Two Envelopes Shake The Foundations of Decision Theory?, unpublished?
Terry Horgan, The Two-Envelope Paradox and the Foundations of Rational Decision Theory, unpublished.
N M Blachman, D M Kilgour, Elusive optimality in the box problem, Mathematics Magazine 74: 171-181.
Peter Winkler, Murray Hill, Games people don't play, Puzzlers' Tribute, David Wolfe and Tom Rodgers (eds), A K Peters Ltd.

2002

Jeff Speaks, The two-envelope paradox and inference from an unknown, unpublished?
David Chalmers, The St. Petersburg Two-Envelope Paradox, Analysis 62(2): 155-57.
James Chase, The Non-Probabilistic Two Envelope Paradox, Analysis 62(2): 157–60.
Aaron S Edlin, Forward Discount Bias, Nalebuff’s Envelope Puzzle, and the Siegel Paradox in Foreign Exchange, Topics in Theoretical Economics 2(1).
Olav Gjelsvik, Paradox lost, but in which envelope? Croatian Journal of Philosophy II(6): 353–62.

2003

Friedel Bolle, The Envelope Paradox, the Siegel Paradox, and the Impossibility of Random Walks in Equity and Financial Markets, unpublished?
Graham Priest, Greg Restall, Envelopes and Indifference, published online [pdf]
Casper Albers, Trying to resolve the two-envelope problem, Chapter 2 of his thesis Distributional Inference: The Limits of Reason, March 2003. (Has also appeared as Albers, Casper J.; Kooi, Barteld P. and Schaafsma, Willem (2005), Trying to resolve the two-envelope problem, Synthese, 145(1): 89–109)
Gary Malinas, "Two envelope problems and the roles of ignorance, Acta Analytica 18(30/31): 217–225.
C J G Meacham, J Weisberg, Clark and Shackel on the Two-Envelope Paradox, Mind 112(448): 685-689.
Michael Clark, Nicholas Shackel, Decision Theory, Symmetry and Causal Structure: Reply to Meacham and Weisberg, Mind 112(448): 691-701.
Terry Horgan, The Two-Envelope Paradox and the Foundations of Rational Decision Theory, unpublished [html]
Frank Arntzenius, Adam Elga, John Hawthorne, Bayesianism, Infinite Decisions, and Binding, unpublished draft [pdf]

2004

Eric Schwitzgebel, Josh Dever, Using Variables Within the Expectation Formula, Kluwer Academic Publishers.
Dov Samet, Iddo Samet, David Schmeidler, One Observation behind Two-Envelope Puzzles, The American Mathematical Monthly 111(4): 347–51. [abstract]
R Jeffrey, Subjective probability: The real thing, Cambridge University Press.
Bruce Langtry. The Classical and Maximin Versions of the Two-Envelope Paradox, Australasian Journal of Logic 2: 30–43.
Robert A. Agnew, "On the Two-Box Paradox", Mathematics Magazine 77(4): 302–308. [pdf]
Keith Devlin, The Two Envelopes Paradox, published online [html]
Brian Weatherson, How Surprising is the Two Envelope Paradox, unpublished [html]
Tom Loredo, The Two-Envelope Paradox, unpublished.

2005

Jan Poland, The Two Envelopes Paradox in a Short Story, unpublished.
C J Albers, B P Kooi, W Schaafsma, Trying to resolve the two-envelope problem, Synthese 145: 89–109.
Franz Dietrich, Christian List, The Two-Envelope Paradox: An Axiomatic Approach, Mind 114(454): 239-248.
Richard Harter, The two envelopes puzzle, unpublished [html]
Amos Storkey, Money Trouble and Money Trouble – Solution, unpublished.
P Rawling, A note on the two envelopes problem, Theory and Decision 36(1): 97-102.
Ned Markosian, A simple solution to the two-envelope problem, unpublished.

2006

Rich Turner and Tom Quilter, The Two Envelopes Problem, published online [pdf].
Adom Giffin, The Error in the Two Envelope Paradox, arXiv:physics/0608172v1
Raymond Nickerson and Ruma Falk, The exchange paradox: Probabilistic and cognitive analysis of a psychological conundrum, Thinking & Reasoning 12(2): 181–213.
Dennis V Lindley, Understanding Uncertainty, Wiley, NY.
D R Cox, Principles of Statistical Inference, Cambridge University Press.
Eric Schwitzgebel and Josh Dever, The Two Envelope Paradox and Using Variables Within the Expectation Formula, Department of Philosophy, UC Riverside, published online [pdf].
Randall Barron, Continuous Version of the Two Envelopes Puzzle, published online [pdf]
John Kay, Don’t box yourself in when making decisions, Financial Times, August 22.
Graham Oppy, Philosophical Perspectives on Infinity, Cambridge University Press, pp 185-194.

2007

Jeff Chen, The Puzzle of the Two-Envelope Puzzle—a Logical Approach, published online [abstract]
Bernard D Katz, Doris Olin, A Tale of Two Envelopes, Mind 116(464): 903-926.
Igor Douven, A Three-step Solution to the Two-envelope Paradox, Logique et Analyse 50(200) [pdf]
Aris Spanos, The Exchange (or Two Envelope) Paradox Revisited, published online.
Moshe Sniedovich, The Two-Envelope Paradox: A Primer for Dummies, unpublished draft.
Peter Olofsson, Probabilities: the little numbers that rule our lives, John Wiley & Sons, New Jersey, pages 129-132.

2008

Ruma Falk, The Unrelenting Exchange Paradox, Teaching Statistics 30(3): 86-88.
Susan F Butler, Raymond S Nickerson, Keep or Trade? An Experimental Study of the Exchange Paradox, Thinking and Reasoning 14(4): 365–394.
Eric Schwitzgebel, Josh Dever, The Two Envelope Paradox and Using Variables Within the Expectation Formula, Sorites 20: 135-140 [pdf].
Graham Priest, Greg Restall, Envelopes and indifference, C Dégremont, L Keiff, H Rückert (eds.), Dialogues, Logics and Other Strange Things: Essays in Honour of Shahid Rahman, London: College Publications, 277-284 [pdf].

2009

Mark D McDonnell, Derek Abbott, Randomized switching in the two-envelope problem, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 465: 3309–3322. [abstract]
Don Fallis, Taking the Two Envelope Paradox to the Limit, Southwest Philosophy Review 25(2). [abstract]
Byeong-Uk Yi, The Two-envelope Paradox With No Probability, unpublished draft [pdf]
Melinda Roberts, The Nonidentity Problem and the Two Envelope Problem: When is One Act Better for a Person than Another? Chapter 10 of M A Roberts, D T Wasserman (eds.), Harming Future Persons, International Library 201 of Ethics, Law, and the New Medicine 35.
Tad Boniecki, Two Envelope Paradox Solution, unpublished [html]
Ruma Falk, Raymond Nickerson, An inside look at the two envelopes paradox, Teaching Statistics 31(2): 39-41.

2010

Peter A. Sutton, The Epoch of Incredulity: A Response to Katz and Olin’s ‘A Tale of Two Envelopes’ Mind 119(473): 159-169.
Bernard D Katz, Doris Olin, Conditionals, Probabilities, and Utilities: More on Two Envelopes Mind 119(473): 172-183.
Federico O’Reilly, Is there a two-envelope paradox?, published online [pdf]
Paul Syverson, Opening Two Envelopes, Acta Analytica 25:479–498.
Martin C. Cooke, Two Envelopes, two paradoxes, The Reasoner 4(5): 74 - 75 [pdf]
Derek Abbott, Bruce R Davis, The two-envelope problem revisited, Fluctuation and Noise Letters 9(1): 1–8.
Jeremy Gwiazda, Repeated St Petersburg two-envelope trials and expected value, unpublished draft.

2011

Mark D McDonnell, Alex J Grant, Ingmar Land, Badri N Vellambi, Derek Abbott, Ken Lever, Gain from the two-envelope problem via information asymmetry: on the suboptimality of randomized switching, Proceedings of the Royal Society.
Richard D Gill, Anna Karenina and The Two Envelopes Problem, unpublished draft [pdf]