Lost memories and useless coins: revisiting the absentminded driver

The puzzle of the absentminded driver combines an unstable decision problem with a version of the Sleeping Beauty problem. Its analysis depends on the choice between “halfing” and “thirding” as well as that between “evidential” and “causal” decision theory. I show that all four combinations lead to interestingly different solutions, and draw some general lessons about the formulation of causal decision theory, the interpretation of mixed strategies and the connection between rational credence and objective chance.

[1]  Wlodek Rabinowicz Stable and Retrievable Options , 1989, Philosophia Scientiæ.

[2]  T. Horgan,et al.  Generalized Conditionalization and the Sleeping Beauty Problem , 2013 .

[3]  David Etlin Desire, belief, and conditional belief , 2008 .

[4]  William Harper,et al.  Counterfactuals and Two Kinds of Expected Utility , 1978 .

[5]  P. Hawley Inertia, Optimism and Beauty , 2013 .

[6]  H. Price Against causal decision theory , 1986, Synthese.

[7]  Wlodek Rabinowicz Does Practical Deliberation Crowd Out Self-Prediction? , 2002 .

[8]  E. Eells Causal Decision Theory , 1984, PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association.

[9]  James M. Joyce The Foundations of Causal Decision Theory by James M. Joyce , 1999 .

[10]  Tamar Szabó Gendler,et al.  Oxford Studies in Epistemology , 2005 .

[11]  William Harper Mixed strategies and ratifiability in causal decision theory , 1986 .

[12]  E. Eells Weirich on decision instability , 1985 .

[13]  C. Jaffe Sleeping beauty. , 1996, The Birth gazette.

[14]  Adam Elga,et al.  Self‐locating belief and the Sleeping Beauty problem , 2000 .

[15]  D. Bradley,et al.  Confirmation in a Branching World: The Everett Interpretation and Sleeping Beauty , 2011, The British Journal for the Philosophy of Science.

[16]  A. Egan Some Counterexamples to Causal Decision Theory , 2007 .

[17]  Brian Skyrms,et al.  The Dynamics Of Rational Deliberation , 1990 .

[18]  Frank Arntzenius,et al.  No regrets: or: Edith Piaf revamps decision theory , 2007, TARK '07.

[19]  Sergiu Hart,et al.  The Absent-Minded Driver , 1996, TARK.

[20]  Christopher J. G. Meacham Unravelling the Tangled Web: Continuity, Internalism, Non-Uniqueness and Self-Locating Beliefs , 2010 .

[21]  James M. Joyce Regret and instability in causal decision theory , 2012, Synthese.

[22]  D. Lewis A Subjectivist’s Guide to Objective Chance , 1980 .

[23]  R. Aumann,et al.  Epistemic Conditions for Nash Equilibrium , 1995 .

[24]  T. Horgan Sleeping Beauty awakened: new odds at the dawn of the new day , 2004 .

[25]  Michael G. Titelbaum An Embarrassment for Double-Halfers , 2012, Thought: A Journal of Philosophy.

[26]  B. Skyrms Pragmatics And Empiricism , 1986 .

[27]  L. J. Savage,et al.  The Foundations of Statistics , 1955 .

[28]  J. Sobel Maximization, Stability of Decision, and Actions in Accordance with Reason , 1990, Philosophy of Science.

[29]  James M. Joyce The Foundations of Causal Decision Theory , 1999 .

[30]  Ariel Rubinstein,et al.  On the Interpretation of Decision Problems with Imperfect Recall , 1996, TARK.

[31]  A. Hájek,et al.  David Hume, David Lewis, and decision theory , 1997 .

[32]  E. McClennen,et al.  Foundations and Applications of Decision Theory , 1978 .

[33]  W. Schwarz Changing minds in a changing world , 2012 .

[34]  W. Harper Ratifiability and Causal Decision Theory: Comments on Eells and Seidenfeld , 1984, PSA Proceedings of the Biennial Meeting of the Philosophy of Science Association.

[35]  D. Lewis,et al.  Sleeping Beauty: reply to Elga , 2001 .

[36]  Cian Dorr,et al.  Sleeping Beauty: in defence of Elga , 2002 .

[37]  Frank Arntzenius,et al.  Some Problems for Conditionalization and Reflection , 2003 .

[38]  C. Aitken,et al.  The logic of decision , 2014 .

[39]  James M. Joyce Levi on Causal Decision Theory and the Possibility of Predicting One's Own Actions , 2002 .

[40]  Wlodek Rabinowicz,et al.  Remarks on the Absentminded Driver , 2003, Stud Logica.

[41]  Terry Horgan Synchronic Bayesian updating and the Sleeping Beauty problem: reply to Pust , 2006, Synthese.

[42]  Richard C. Jeffrey,et al.  Studies in inductive logic and probability , 1971 .

[43]  Frank Arntzenius Reflections on Sleeping Beauty , 2002 .

[44]  Huw Price,et al.  Agency and Probabilistic Causality , 1991, The British Journal for the Philosophy of Science.