We provide an axiomatic analysis of dynamic random utility, characterizing the stochastic choice behavior of agents who solve dynamic decision problems by maximizing some stochastic process (Ut) of utilities. We show first that even when (Ut) is arbitrary, dynamic random utility imposes new testable across-period restrictions on behavior, over and above period-by-period analogs of the static random utility axioms. An important feature of dynamic random utility is that behavior may appear history-dependent, because period-t choices reveal information about Ut, which may be serially correlated; however, our key new axioms highlight that the model entails specific limits on the form of history dependence that can arise. Second, we show that imposing natural Bayesian rationality axioms restricts the form of randomness that (Ut) can display. By contrast, a specification of utility shocks that is widely used in empirical work violates these restrictions, leading to behavior that may display a negative option value and can produce biased parameter estimates. Finally, dynamic stochastic choice data allows us to characterize important special cases of random utility—in particular, learning and taste persistence—that on static domains are indistinguishable from the general model.

%B Econometrica %G eng %0 Journal Article %J American Economic Review %D 2018 %T Speed, Accuracy, and the Optimal Timing of Choices %A Drew Fudenberg %A Philipp Strack %A Tomasz Strzalecki %X

We model the joint distribution of choice probabilities and decision times in binary decisions as the solution to a problem of optimal sequential sampling, where the agent is uncertain of the utility of each action and pays a constant cost per unit time for gathering information. We show that choices are more likely to be correct when the agent chooses to decide quickly provided that the agent’s prior beliefs are correct. This better matches the observed correlation between decision time and choice probability than does the classical drift-diffusion model, where the agent knows the utility difference between the choices.

%B American Economic Review %V 108 %P 3651-3684 %8 2018 %G eng %N 12 %0 Journal Article %J American Economic Review %D 2017 %T Coarse Competitive Equilibrium and Extreme Prices %A Faruk Gul %A Wolfgang Pesendorfer %A Tomasz Strzalecki %XWe introduce a notion of coarse competitive equilibrium (CCE), to study agents' inability to tailor their consumption to the state of the economy. Our notion is motivated by limited cognitive ability (in particular attention, memory, and complexity) and it maintains the complete market structure of competitive equilibrium. Compared to standard competitive equilibrium, our concept yields riskier allocations and more extreme prices. We provide a tractable model that is suitable for general equilibrium analysis as well as asset pricing.

%B American Economic Review %V 107 %P 109-137 %G eng %9 work in progress %0 Journal Article %J Econometrica %D 2015 %T Stochastic Choice and Revealed Perturbed Utility %A Drew Fudenberg %A Ryota Iijima %A Tomasz Strzalecki %B Econometrica %V 83 %P 2371–2409 %G eng %N 6 %0 Journal Article %J Econometrica %D 2015 %T Dynamic Logit with Choice Aversion %A Drew Fudenberg %A Tomasz Strzalecki %B Econometrica %V 83 %P 651–691 %G eng %N 2 %0 Journal Article %J Quarterly Journal of Economics %D 2014 %T Axiomatization and Measurement of Quasi-hyperbolic Discounting %A J.L. {Montiel Olea} %A Tomasz Strzalecki %B Quarterly Journal of Economics %V 129 %P 1449-1499 %G eng %9 work in progress %0 Journal Article %J American Economic Review %D 2014 %T How Much Would You Pay to Resolve Long-Run Risk? %A Larry Epstein %A Emmanuel Farhi %A Tomasz Strzalecki %B American Economic Review %V 104 %P 2680-2697 %G eng %9 work in progress %0 Journal Article %J Journal of Economic Behavior and Organization %D 2014 %T Depth of Reasoning and Higher Order Beliefs %A Tomasz Strzalecki %XAs demonstrated by the email game of Rubinstein (1989), the predictions of the standard equilibrium models of game theory are sensitive to assumptions about the fine details of the higher order beliefs. This paper shows that models of bounded depth of reasoning based on level-k thinking or cognitive hierarchy make predictions that are independent of the tail assumptions on the higher order beliefs. In addition to this finding, the tools developed in this paper oer a new direction for the analysis of models of bounded depth of reasoning and their applications to various economic settings. (JEL C72, D03)

%B Journal of Economic Behavior and Organization %V 108 %P 108-122 %G eng %U http://www.economics.harvard.edu/faculty/strzalecki/files/strzalecki-depth.pdf %0 Journal Article %J Econometrica %D 2013 %T Temporal Resolution of Uncertainty and Recursive Models of Ambiguity Aversion %A Tomasz Strzalecki %XModels of ambiguity aversion have recently found many applications in dynamic settings. This paper shows that there is a strong interdependence between ambiguity aversion and the preferences for the timing of the resolution of uncertainty, as dened by the classic work of Kreps and Porteus (1978): the modeling choices that are being made in the domain of ambiguity aversion influence the set of modeling choices available in the domain of timing attitudes. The main result of the paper is that the only model of ambiguity aversion that exhibits indierence to timing is the maxmin expected utility of Gilboa and Schmeidler (1989). This paper also examines the structure of the timing nonindierence implied by the other commonly used models of ambiguity aversion. The interdependence of ambiguity and timing that this paper identies is of interest both conceptually and practically–especially for economists using these models in applications.

%B Econometrica %V 81 %P 1039-1074 %G eng %N 3 %0 Journal Article %J Econometrica %D 2011 %T Axiomatic Foundations of Multiplier Preferences %A Tomasz Strzalecki %XThis paper axiomatizes the robust control criterion of multiplier preferences introduced by Hansen and Sargent (2001). The axiomatization relates multiplier preferences to other classes of preferences studied in decision theory, in particular, the variational preferences recently introduced by Maccheroni, Marinacci, and Rustichini (2006a). This paper also establishes a link between the parameters of the multiplier criterion and the observable behavior of the agent. This link enables measurement of the parameters on the basis of observable choice data and provides a useful tool for applications.

%B Econometrica %V 79 %P 47-73 %G eng %0 Journal Article %J Journal of Economic Theory %D 2011 %T Probabilistic Sophistication and Variational Preferences %A Tomasz Strzalecki %XThis paper shows that in the class of variational preferences the notion of probabilistic sophistication is equivalent to expected utility as long as there exists at least one event such that the independence axiom holds for bets on that event. This extends a result of Marinacci (2002) and provides a novel interpretation of his result.

%B Journal of Economic Theory %V 146 %P 2117–2125 %G eng %U http://dash.harvard.edu/handle/1/11352635 %0 Journal Article %J Journal of Economic Theory %D 2011 %T Efficient Allocations under Ambiguity %A Tomasz Strzalecki %A Jan Werner %XAn important implication of the expected utility model under risk aversion is that if agents have the same probability belief, then the efficient allocations under uncertainty are comonotone with the aggregate endowment, and if their beliefs are concordant, then the efficient allocations are measurable with respect to the aggregate endowment. We study these two properties of efficient allocations for models of preferences that exhibit ambiguity aversion using the concept of conditional belief, which we introduce in this paper. We provide characterizations of such conditional beliefs for the standard models of preferences used in applications. ∗

%B Journal of Economic Theory %V 146 %P 1173-1194 %G eng %U http://dash.harvard.edu/handle/1/11352637 %0 Manuscript %D 2009 %T Second-Order Expected Utility %A Simon Grant %A Ben Polak %A Tomasz Strzalecki %XWe present two axiomatizations of the Second-Order Expected Utility model in the context of the standard models of choice under uncertainty.

%B SSRN %G eng %0 Journal Article %J Econometrica %D 2008 %T Subjective Beliefs and Ex Ante Trade %A Luca Rigotti %A Chris Shannon %A Tomasz Strzalecki %XWe study a deﬁnition of subjective beliefs applicable to preferences that allow for the perception of ambiguity, and provide a characterization of such beliefs in terms of market behavior. Using this deﬁnition, we derive necessary and sufﬁcient conditions for the efﬁciency of ex ante trade and show that these conditions follow from the fundamental welfare theorems. When aggregate uncertainty is absent, our results show that full insurance is efﬁcient if and only if agents share some common subjective beliefs. Our results hold for a general class of convex preferences, which contains many functional forms used in applications involving ambiguity and ambiguity aversion. We show how our results can be articulated in the language of these functional forms, conﬁrming results existing in the literature, generating new results, and providing a useful tool for applications.

%B Econometrica %V 76 %P 1176–1190 %G eng %0 Journal Article %J Journal of African Economies %D 2004 %T Collective Action, Heterogeneous Loyalties, and Path Dependence: Micro-Evidence from Senegal %A Jean-Philippe Platteau %A Tomasz Strzalecki %XIn Senegal we encountered a situation in which a minority group of migrant fishermen had completely different sets of expectations regarding a collective action depending on the location where they operated. In one village expectations were pessimistic, while in the other village they were optimistic. Understanding this contrast and its implications provides the main justification for the paper. To be able to account for the contrast between the two areas, pessimistic expectations in the first area have to be traced back to a preceding conflict that could never be settled satisfactorily. A perverse path -dependent process had thus been set in motion that could not be changed by a simple act of will of a determined leadership. To demonstrate the links between expectations and actions that fit with the story told, we propose a simple model of collective action with asymmetric information.

%B Journal of African Economies %P 417 - 445 %G eng %N 13