Domains, ranges and strategy-proofness: the case of single-dipped preferences

We characterize the set of all individual and group strategy-proof rules on the domain of all single-dipped preferences on a line. For rules defined on this domain, and on several of its subdomains, we explore the implications of these strategy-proofness requirements on the maximum size of the rules’ range. We show that when all single-dipped preferences are admissible, the range must contain two alternatives at most. But this bound changes as we consider different subclasses of single-dipped preferences: we provide examples of subdomains admitting strategy-proof rules with larger ranges. We establish exact bounds on the maximal size of strategy-proof functions on each of these domains, and prove that the relationship between the sizes of the subdomains and those of the ranges of strategy-proof functions on them need not be monotonic. Our results exhibit a sharp contrast between the structure of strategy-proof rules defined on subdomains of single-dipped preferences and those defined on subsets of single-peaked ones.     

Sequential Monte Carlo for rare event estimation

This paper discusses a novel strategy for simulating rare events and an associated Monte Carlo estimation of tail probabilities. Our method uses a system of interacting particles and exploits a Feynman-Kac representation of that system to analyze their fluctuations. Our precise analysis of the variance of a standard multilevel splitting algorithm reveals an opportunity for improvement. This leads to a novel method that relies on adaptive levels and produces, in the limit of an idealized version of the algorithm, estimates with optimal variance. The motivation for this theoretical work comes from problems occurring in watermarking and fingerprinting of digital contents, which represents a new field of applications of rare event simulation techniques. Some numerical results show performance close to the idealized version of our technique for these practical applications.     

Corporate social responsibility and corporate governance in Italian SMEs: the experience of some “spirited businesses”

The study proposes to individuate the relationship between social engagement, social statements and governance of SMEs. Does an adhesion to the philosophy and to the practices of CSR, which are reflected in a firm’s mission and accountability, positively influences its governance? If so, is this influence more or less significant for SMEs with respect to large-sized firms? This paper winds itself around these questions and describes the principle findings that have emerged from a qualitative investigation focused on a selected group of “cohesive” Italian SMEs, in which their management complies with both economic and social issues. The empirical study finds that the diffusion of CSR is tied above all to the entrepreneur’s values and orientation and to the company embeddedness to the local socio-economic environment. The concluding reflections trace the features of a territorial model of socially responsible orientation centered on the best practices of SMEs who are excellent examples of “spirited businesses” and are part of a network (which includes institutions, trade associations, non-profit organizations, etc.) that contributes to the diffusion of an orientation towards CSR and to sustainability across the territory.     

The role of grandparenting in early childcare and child outcomes

This paper examines the short and medium term impact of early childcare provision by grandparents and formal care settings on child cognitive outcomes, using data from the Millennium Cohort Study (UK). Compared with children placed in formal childcare, children cared for by their grandparents are better at naming objects, but perform worse on tests of basic concept development and non-verbal reasoning. These results mask strong heterogeneities. On the one hand, the positive association between grandparental care and child outcomes is stronger for children from more advantaged households; on the other, the negative association is only significant for those from more disadvantaged households. The results of OLS estimations used for our analysis are confirmed using panel methods and an instrumental variable approach.     

Post-Divorce Transfers and the Welfare of Mothers and Children in the United States

ABSTRACT In this paper we analyze the relationship between post-divorce private transfers (child support and alimony), mothers' economic independence and children's welfare using US data. Our empirical results show that mothers who receive child support and alimony from absent fathers are more likely to work and to spend a higher proportion of the income on child-related goods. We argue that the pattern of empirical results is consistent with there being significant externalities between parents even after divorce.     

Testing non-oblique hypotheses

This paper considers a likelihood ratio test for testing hypotheses defined by non-oblique closed convex cones, satisfying the so called iteration projection property, in a set of k normal means. We obtain the critical values of the test using the Chi-Bar-Squared distribution. The obtuse cones are introduced as a particular class of cones which are non-oblique with every one of their faces. Examples with the simple tree order cone and the total order cone are given to illustrate the results.     

Bayesian monitoring of local residual autocorrelations taking into account the run-length

This paper proposes new two-sided monitoring algorithms for detecting the presence of first order residual autocorrelations in Dynamic Normal Models. The methodology uses a Bayesian decision approach with loss function which takes into account the run-length of the process. The power and mean run-length of the proposed algorithms are analysed by Monte Carlo methods. The results obtained improve those corresponding to the monitoring algorithm for residual autocorrelations proposed in Gargallo and Salvador [2003. Monitoring residual autocorrelations in dynamic linear models. Comm. Statist. Simulation Comput. 32(4), 1079–1104.] with respect to the run-length, and also exhibit more homogeneous behaviour.