Imperfect recall and time inconsistencies: an experimental test of the absentminded driver “paradox”
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Absentmindedness is a special case of imperfect recall, in which a single history includes more than one decision node in an information set. Put differently, players, after making a decision, sometimes face it again without recalling having ‘been there before’. Piccione and Rubinstein (Game Econ Behav 20(1):3–24, 1997b) have argued that absentmindedness may lead to time inconsistencies. Specifically, in certain cases, a player’s optimal strategy as calculated when called to choose an action (the action stage) deviates from the optimal strategy as calculated in a preceding planning stage, although preferences remain constant and no new information is revealed between the two stages. An alternative approach assumes that the player maximizes expected payoff in the action stage while considering his actions at other decision nodes to be immutable. With this approach, no time inconsistencies arise. The present paper explores this issue from a behavioral point of view. We elicit participants’ strategies in an experimental game of absentmindedness, separately for a planning stage and an action stage. We find systematic and robust time inconsistencies under four variations of the experiment and using ten different parameterizations of the game. We conclude that real decisions under absentmindedness without commitment are susceptible to time inconsistencies.
KeywordsImperfect recall Absentmindedness Dynamic inconsistency Experiment
Financial support from the Max Planck Society is gratefully acknowledged. We thank the members and students of the Center for the Study of Rationality in Jerusalem and the Max Planck Institute of Economics in Jena, and particularly Bob Aumann, Ido Erev, Werner Güth, Joe Halpern, Sergiu Hart, Yaakov Kareev, Dave Lagnado, Motty Perry, Michele Piccione, Ariel Rubinstein, Larry Samuelson, Sudipta Sarangi, Ran Shorrer, and Shmuel Zamir for helpful discussions and comments. We thank Christoph Göring for assistance with programming.
- Bardsley N, Cubitt R, Loomes G, Moffatt P, Starmer C, Sugden R (2010) Experimental economics: rethinking the rules. Princeton University Press, PrincetonGoogle Scholar
- Binmore K (1996) A note on imperfect recall. In: Albers W, Güth W, Hammerstein P, Moldovanu B, Van Damme E (eds) Understanding strategic interaction—essays in honor of Reinhard Selten. Springer, Berlin, pp 51–62Google Scholar
- Fischbacher U (2007) z-tree: Zurich toolbox for ready-made economic experiments. Exp Econ 10(2): 171–178Google Scholar
- Greiner B (2004) An online recruitment system for economic experiments. In: Kremer K, Macho V (eds) Forschung und wissenschaftliches Rechnen 2003. GWDG Bericht 63, Gesellschaft für Wissenschaftliche Datenverarbeitung, Göttingen, pp 79–93Google Scholar
- Isbell J (1957) Finitary games. In: Contributions to the theory of games III. Princeton University Press, Princeton, pp 79–96Google Scholar
- Kahneman D (1973) Attention and effort. Prentice Hall, Englewood CliffsGoogle Scholar
- Kahneman D (2011) Thinking: fast and slow. Farrar Straus and Giroux, New YorkGoogle Scholar
- Kahneman D, Tversky A (1979) Prospect theory: analysis of decision under risk. Econometrica 47(2): 263–292Google Scholar
- Kareev Y, Warglien M (2003) Cognitive overload and the evaluation of risky alternatives: the effects of sample size, information format and attitude to risk. Discussion Paper 340, Center for the Study of RationalityGoogle Scholar
- Kuhn HW (1953) Extensive games and the problem of information. In: Contributions to the theory of games II. Princeton University Press, Princeton, pp 193–216Google Scholar
- Shiffrin RM (1976) Capacity limitations in information processing, attention, and memory. In: Estes WK (ed) Handbook of learning and cognitive processes, vol 4. Erlbaum, Hillsdale, pp 177–236Google Scholar