Working papers results

2018 - n° 631 19/10/2018
One of the most well-known models of non-expected utility is Gul (1991)'s bmodel of Disappointment Aversion. This model, however, is defined implicitly, as the solution to a functional equation; its explicit utility representation is unknown, which may limit its applicability. We show that an explicit representation can be easily constructed, using solely the components of the implicit one. We also provide a more general result: an explicit representation for preferences in the Betweenness class that also satisfy Negative Certainty Independence (Dillenberger, 2010).

Simone Cerreia-Vioglio, David Dillenberger, Pietro Ortoleva
Keywords: Betweenness, Cautious Expected Utility, Disappointment Aversion, Utility representation
2018 - n° 630 19/10/2018
In this teaching note we discuss the relation between rational inattention and a major branch of information theory called rate distortion theory. Focusing on methods, we translate tools from rate distortion theory into the language of rational inattention. These tools provide an alternative, more primitive, approach to the study of optimal attention allocation.

Tommaso Denti, Massimo Marinacci, Luigi Montrucchio
2018 - n° 629 16/10/2018
We adopt the epistemic framework of Battigalli and Siniscalchi (J. Econ. Theory 88:188-230, 1999) to model the distinction between a player's behavior at each node, which is part of the external state, and his plan, which is described by his beliefs about his own behavior. This allows us to distinguish between intentional and unintentional behavior, and to explicitly model how players revise their beliefs about the intentions of others upon observing their actions. Rational players plan optimally and their behavior is consistent with their plans. We illustrate our approach with detailed examples and some results. We prove that optimal planning, belief in continuation consistency and common full belief in both imply the backward induction strategies and beliefs in games with perfect information and no relevant ties. More generally, we present within our framework relevant epistemic assumptions about backward and forward-induction reasoning, and relate them to similar ones studied in the previous literature.


Pierpaolo Battigalli, Nicodemo De Vito
Keywords: Epistemic game theory, plans, perceived intentions, backward induction, forward induction
2018 - n° 628 28/09/2018
We develop a general framework to study source-dependent preferences in economic contexts. We behaviorally identify two key features. First, we drop the assumption of uniform uncertainty attitudes and allow for source-dependent attitudes. Second, we introduce subjective prices to compare outcomes across different sources. Our model evaluates profiles source-wise, by computing the source-dependent certainty equivalents; the latter are converted into the unit of account of a common source and then aggregated into a unique evaluation. By viewing time and location as instances of sources, we show that subjective discount factors and subjective exchange rates are emblematic examples of subjective prices. Finally, we use the model to explore the implications on optimal portfolio allocations and home bias.

V. Cappelli, S. Cerreia-Vioglio, F. Maccheroni, M. Marinacci, S. Minardi
Keywords: source preference, source-dependent uncertainty attitudes, subjective prices, competence hypothesis, home bias
2018 - n° 627 31/07/2018

We evaluate linear stochastic discount factor models using an ex-post portfolio metric: the realized out-of-sample Sharpe ratio of mean-variance portfolios backed by alternative linear factor models. Using a sample of monthly US portfolio returns spanning the period 1968-2016, we find evidence that multifactor linear models have better empirical properties than the CAPM, not only when the cross-section of expected returns is evaluated in-sample, but also when they are used to inform one-month ahead portfolio selection. When we compare portfolios associated to multifactor models with mean-variance decisions implied by the single-factor CAPM, we document statistically significant differences in Sharpe ratios of up to 10 percent. Linear multifactor models that provide the best in-sample fit also yield the highest realized Sharpe ratios.

Massimo Guidolin, Erwin Hansen, Martín Lozano-Bandaz
Keywords: Linear asset pricing models, Stochastic discount factor, Portfolio selection, Out-of-sample performance
2018 - n° 626 31/07/2018
We propose a Markov Switching Graphical Seemingly Unrelated Regression (MS-GSUR) model to investigate time-varying systemic risk based on a range of multi-factor asset pricing models. Methodologically, we develop a Markov Chain Monte Carlo (MCMC) scheme in which latent states are identified on the basis of a novel weighted eigenvector centrality measure. An empirical application to the constituents of the S&P100 index shows that cross-firm connectivity significantly increased over the period 1999-2003 and during the financial crisis in 2008-2009. Finally, we provide evidence that firm-level centrality does not correlate with market values and it is instead positively linked to realized financial losses.

Daniele Bianchi, Monica Billio, Roberto Casarin, and Massimo Guidolin
Keywords: Markov Regime-Switching, Weighted Eigenvector Centrality, Graphical Models, MCMC, Systemic Risk, Network Connectivity
2018 - n° 625 19/06/2018
What are the effects of a housing bubble on the rest of the economy? We show that if firms and banks face collateral constraints, a housing bubble initially raises credit demand by housing firms while leaving credit supply unaffected. It therefore crowds out credit to non-housing firms. If time passes and the bubble lasts, however, housing firms eventually pay back their higher loans. This leads to an increase in banks' net worth and thus to an expansion in their supply of credit to all firms: crowding-out gives way to crowding-in. These predictions are confirmed by empirical evidence from the recent Spanish housing bubble. In the early years of the bubble, non-housing firms reduced their credit from banks that were more exposed to the bubble, and firms that were more exposed to these banks had lower credit and output growth. In its last years, these effects were reversed.

Alberto Martín, Enrique Moral-Benito, Tom Schmitz
Keywords: Housing bubble, Credit, Investment, Financial Frictions, Financial Transmission, Spain
2018 - n° 624 19/06/2018
Since the middle of the 1990s, productivity growth in Southern Europe has been substantially lower than in other developed countries. In this paper, we argue that this divergence was partly caused by inefficient management practices, which limited Southern Europe's gains from the IT Revolution. To quantify this effect, we build a multi-country general equilibrium model with heterogeneous firms and workers. In our model, the IT Revolution generates divergence for three reasons. First, inefficient management limits Southern firms' productivity gains from IT adoption. Second, IT increases the aggregate importance of management, making its inefficiencies more salient. Third, IT-driven wage increases in other countries stimulate Southern high-skill emigration. We calibrate our model using firm-level evidence, and show that it can account for 28% of Italy's, 39% of Spain's and 67% of Portugal's productivity divergence with respect to Germany between 1995 to 2008.

Fabiano Schivardi, Tom Schmitz
Keywords: TFP, Southern Europe, Divergence, IT Technology adoption, Management
2018 - n° 623 19/06/2018
We experimentally explore decision-making under uncertainty using a framework that decomposes uncertainty into three distinct layers: (1) physical uncertainty, entailing inherent randomness within a given probability model, (2) model uncertainty, entailing subjective uncertainty about the probability model to be used and (3) model misspecification, entailing uncertainty about the presence of the true probability model among the set of models considered. Using a new experimental design, we measure individual attitudes towards these different layers of uncertainty and study the distinct role of each of them in characterizing ambiguity attitudes. In addition to providing new insights into the underlying processes behind ambiguity aversion -failure to reduce compound probabilities or distinct attitudes towards unknown probabilities- our study provides the first empirical evidence for the intermediate role of model misspecification between model uncertainty and Ellsberg in decision-making under uncertainty.

Ilke Aydogan, Loic Berger, Valentina Bosetti, Ning Liu
Keywords: Ambiguity aversion, reduction of compound lotteries, non-expected utility, model uncertainty, model misspecification
2018 - n° 622 20/04/2018
We study in a theoretical and experimental setting the interaction between belief-dependent preferences and reputation building in a finitely repeated trust game. We focus mainly on the effect of guilt aversion. In a simple two-types model, we analyze the effect of reputation building in presence of guilt-averse players and derive behavioral predictions. In the experiment, we elicit information on trustees' belief-dependent preferences and disclose it to the paired trustor before the repeated game. Our experimental results show that disclosing information on the trustee's belief-dependent preferences and thus letting players play the repeated trust game in presence of almost complete information leads to higher trust and cooperation than in the corresponding incomplete information game setting. In particular, disclosure of information on preferences of guilt-averse trustees also enhances the trustors'cooperation. Disclosure of information on belief-dependent preferences of reciprocity-concerned trustees, instead, does not lead to higher trust and cooperation. We show that this is theoretically consistent with subjects featuring low reciprocity concerns.

Giuseppe Attanasi, Pierpaolo Battigalli, Elena Manzoni, Rosemarie Nagel
Keywords: Repeated psychological game; reputation; guilt; reciprocity; almost complete information