@techreport{3b57c35564f44c6097bc5e5fcda5370d,

title = "Mixture-Dependent Preference for Commitment",

abstract = "The literature on temptation and self-control is motivated by evidence of a preference for commitment. This literature has typically put forth models for preferences over menus of lotteries that satisfy the Independence axiom. Independence requires that the ranking of two menus is not affected if each is mixed (probabilistically) with a common third menu. In particular, the preference for commitment is invariant under Independence. We argue that intuitive behavior may require that the preference for commitment be affected by such mixing, and hence be mixture-dependent. To capture such behavior, we generalize Gul and Pesendorfer (2001) by replacing their Independence axiom with a suitably adapted version of the Mixture-Betweenness axiom of Chew (1989)- Dekel (1986). Axiomatizing the model involves a novel extension of the Mixture Space Theorem to preferences that satisfy Mixture-Betweenness.",

keywords = "Temptation, self-control, Mixture Space, Independence",

author = "F. Payr{\'o}",

note = "I am deeply indebted to Larry Epstein for his guidance and support throughout this project, and to Jawwad Noor for many insightful conversations and detailed comments. I would also like to thank Bart Lipman for helpful comments and suggestions. I also benefited from comments by Philipp Sadowski, Todd Sarver, Pietro Ortoleva, Chiara Margaria, Juan Ortner, Michael Manove, Andrew F. Newman, Enrico De Magistris, Lester Chan, Doron Ravid and especially Asen Kochov. Comments and suggestions made by audiences of the Decision Theory Graduate Student Conference, Royal Holloway, ITAM, Academia Sinica (Taiwan), CSEF, Universitat Autonoma de Barcelona, Barcelona Summer Forum, Durham{\textquoteright}s 2nd Theory Conference and FUR 2022 are also gratefully acknowledged. All errors are my own. ",

year = "2022",

month = sep,

day = "12",

language = "English",

series = "BSE Working Paper",

publisher = "BSE Working Papers",

number = "1365",

address = "Spain",

type = "WorkingPaper",

institution = "BSE Working Papers",

}