Working papers results

We study from a preferential viewpoint absolute and relative attitudes toward ambiguity determined by wealth effects. We provide different characterizations of these attitudes for a large class of preferences: monotone and continuous preferences which satisfy risk independence. We specify our results for different subclasses of preferences.

Pre-Hilbert A-Modules are a natural generalization of inner product spaces in which the scalars are allowed to be from an arbitrary algebra. In this perspective, submodules are the generalization of vector subspaces. The notion of orthogonality generalizes in an obvious way too. In this paper, we provide necessary and sufficient topological conditions for a submodule to be orthogonally complemented. We present three applications of our results. In the most important one, we obtain the Kunita-Watanabe decomposition for conditionally square-integrable martingales as an orthogonal decomposition result carried out in an opportune pre-Hilbert A-module. Second, we show that a version of Stricker's Lemma can be also derived as a corollary of our results. Finally, we provide a version of the Koopman-von Neumann decomposition theorem for a specific pre-Hilbert module which is useful in Ergodic Theory.

The results of an experiment extending Ellsberg's setup demonstrate that attitudes towards ambiguity and compound uncertainty are closely related. However, this association is much stronger when the second layer of uncertainty is subjective than when it is objective. Provided that the compound probabilities are simple enough, we find that most subjects, consisting of both students and policy makers, (1) reduce compound objective probabilities, (2) do not reduce compound subjective probabilities, and (3) are ambiguity non-neutral. By decomposing ambiguity into risk and model uncertainty, and jointly eliciting the attitudes individuals manifest towards these two types of uncertainty, we characterize individuals' degree of ambiguity aversion. Our data provides evidence of decreasing absolute ambiguity aversion and constant relative ambiguity aversion.

This paper investigates the differential response of male and female voters to competitive persuasion in political campaigns. We implemented a survey experiment during the (mixed gender) electoral race for mayor in Milan (2011), and a field experiment during the (same gender) electoral race for mayor in Cava de' Tirreni (2015). In both cases, a sample of eligible voters was randomly divided into three groups. Two were exposed to either a positive or a negative campaign by one of the opponents. The third-control-group received no electoral information. In Milan, the campaigns were administered online and consisted of a bundle of advertising tools (videos, texts, slogans). In Cava de' Tirreni, we implemented a large scale door-to-door campaign in collaboration with one of the candidates, randomizing positive vs. negative messages. In both experiments, stark gender differences emerge. Females vote more for the opponent and less for the incumbent when they are exposed to the opponent's positive campaign. Exactly the opposite occurs for males. These gender differences cannot be accounted for by gender identification with the candidate, ideology, or other observable attributes of the voters.

In this article, we provide novel survey evidence on mid schoolers' awareness and ambiguity perceptions and on how such perceptions evolve during the process of high school track choice. Children in our study display partial awareness about the set of available tracks. Additionally, children report substantial belief ambiguity about their likelihood of a regular high school path, especially for lower-ranked tracks. Students start 8th grade with greater information about their favorite alternatives and continue to concentrate their search on the latter during the months before pre-enrollment. Children from less advantaged families display lower initial perceived knowledge and acquire information at a slower pace, particularly about college-preparatory schools.

This paper provides a general framework for analyzing self-confirming policies. We study self-confirming equilibria in recurrent decision problems with incomplete information about the true stochastic model. We characterize stationary monetary policies in a linear-quadratic setting.

We study the design of child care subsidies in an optimal welfare and tax problem. The optimal subsidy schedule is qualitatively similar to the existing US scheme. Efficiency mandates a subsidy on formal child care costs for working mothers, with higher subsidies paid to lower income earners. The optimal subsidy is also kinked as a function of child care expenditure.To counterbalance the sliding scale pattern of the optimal subsidy rates, marginal labor income tax rates are set lower than the labor wedges, with the potential to generate negative marginal tax rates. We calibrate our model to features of the US labor market and focus on single mothers with children aged below 6. The optimal program provides stronger participation incentives compared to the US scheme. The intensive margin incentives provided by the efficient program are milder, with subsidy rates decreasing with income more steeply than those in the US.

This article provides an overview of long-term changes in the relative conditions of the rich in preindustrial Europe. It covers four pre-unification Italian states (Sabaudian State, Florentine State, Kingdom of Naples and Republic of Venice) as well as other areas of Europe (Low Countries, Catalonia) during the period 1300-1800. Three different kinds of indicators are measured systematically and combined in the analysis: headcount indexes, the share of the top rich, and richness indexes. Taken together, they suggest that overall, during the entirety of the early modern period the rich tended to become both more prevalent and more distanced from the other strata of society. The only period during which the opposite process took place was the late Middle Ages, following the Black Death epidemic of the mid-fourteenth century. In the period from ca. 1300 to 1800, the prevalence of the rich doubled. In the Sabaudian State, the Florentine State and the Kingdom of Naples, for which reconstructions of regional wealth distributions exist, in about the same period the share of the top 10% grew from 45-55% to 70-80% - reaching almost exactly the same level which has recently been suggested as the European average at 1810. Consequently, the time series presented here might be used to add about five centuries of wealth inequality trends to current debates on very long-term changes in the relative position of the rich.

In this paper we study alternative methods to construct a daily indicator of growth for the euro area. We aim for an indicator that (i) provides reliable predictions, (ii) can be easily updated at the daily frequency, (iii) gives interpretable signals, and (iv) it is linear. Using a large panel of daily and monthly data for the euro area we explore the performance of two classes of models: bridge and U-MIDAS models, and different forecast combination strategies. Forecasts obtained from U-MIDAS models, combined with the inverse MSE weights, best satisfy the required criteria.

Do elderly workers retire early voluntarily, or are they induced (or even forced) by their employees? To establish the relevance of the labor demand component in retirement decisions, we consider a trade liberalization between Switzerland and the EU – the Mutual Recognition Agreement (MRA). A vast literature suggests that these trade liberalizations induce firms to relocate and to restructure, with large compositional effects on the labor market particularly for the elderly workers, who face higher mobility costs. Using Swiss Labor Force Survey data, we use a difference in differences approach to compareearly retirement behavior in three periods (pre-liberalization, announcement, and implementation) for three groups of industries. MRA industries represent our treatment group; control groups are non-MRA manufacturing industries, and services. Our empirical results show that elderly workers are more likely to retire early in the MRA sector during the announcement period, and that the employment of young (30-years old) male workers increases. The distribution of wages by age is instead unaffected. Additional empirical evidence using Swiss Business Census and UN Comtrade data suggests that the increase in early retirement in MRA is not explained by more firms' exits, nor by more early retirement among the exiting firms. It is rather the surviving MRA firms, which react to the increase in competition by adjusting their labor force and use more early retirement.