ON THE WINNER‐TAKE‐ALL PRINCIPLE IN INNOVATION RACES

What is the optimal allocation of prizes in an innovation race? Should the winner take all, or is it preferable that the original inventor shares the market with subsequent independent duplicators? Some recent papers in law and economics have argued that the latter, more permissive solution is socially preferable under mild conditions. We re‐examine that issue, arguing that a permissive regime may turn the innovation race into a waiting game, reducing the power of incentives, and may invite socially wasteful duplicative R&D expenditures. In a model that accounts for these effects, the winner‐take‐all system turns out to be preferable in a broad set of circumstances, especially in highly innovative industries. (JEL: K11, L1, O34)     

A New Approach to Rank Several Multivariate Normal Populations with Application to Life Cycle Assessment

The need to establish the relative superiority of each treatment when compared to all the others, i.e., ordering the underlying populations according to some pre-specified criteria, often occurs in many applied research studies and technical/business problems. When populations are multivariate in nature, the problem may become quite difficult to deal with especially in case of small sample sizes or unreplicated designs. The purpose of this work is to propose a new approach for the problem of ranking several multivariate normal populations. It will be theoretically argued and numerically proved that our method controls the risk of false ranking classification under the hypothesis of population homogeneity while under the nonhomogeneity alternatives we expect that the true rank can be estimated with satisfactory accuracy, especially for the “best” populations. Our simulation study proved also that the method is robust in the case of moderate deviations from multivariate normality. Finally, an application to a real case study in the field of life cycle assessment is proposed to highlight the practical relevance of the proposed methodology.     

Asymptotic inference on a general measure of monotone dependence

Summary In this paper a class of measures of monotone dependence (concordance/discordance) for arbitrary (not necessarily continuous) bivariate distributions is considered. It is shown that the corresponding sampling index of concordance/discordance (which is the most natural estimator of the population index) converges in law to a normal distribution. A Berry-Esséen bound for its rate of convergence is given. Finally, a consistent estimator of the asymptotic variance of the sampling concordance/ discordance index is proposed. This last result is essential for constructing confidence intervals and testing hypotheses on the population measure of monotone dependence.     

Union–intersection permutation solution for two-sample equivalence testing

One of the well-known problems with testing for sharp null hypotheses against two-sided alternatives is that, when sample sizes diverge, every consistent test rejects the null with a probability converging to one, even when it is true. This kind of problem emerges in practically all applications of traditional two-sided tests. The main purpose of the present paper is to overcome this very intriguing impasse by considering a general solution to the problem of testing for an equivalence null interval against a two one-sided alternative. Our goal is to go beyond the limitations of likelihood-based methods by working in a nonparametric permutation framework. This solution requires the nonparameteric Combination of dependent permutation tests, which is the methodological tool that achieves Roy’s Union–intersection principle. To obtain practical solutions, the related algorithm is presented. To appreciate its effectiveness for practical purposes, a simple example and some simulation results are also presented. In addition, for every pair of consistent partial test statistics it is proved that, if sample sizes diverge, when the effect lies in the open equivalence interval, the Rejection probability (RP) converges to zero. Analogously, if the effect lies outside that interval, the RP converges to one.     

Inference for Quantiles of a Finite Population: Asymptotic versus Resampling Results

The aim of the paper is to study the problem of estimating the quantile function of a finite population. Attention is first focused on point estimation, and asymptotic results are obtained. Confidence intervals are then constructed, based on both the following: (i) asymptotic results and (ii) a resampling technique based on rescaling the ‘usual’ bootstrap. A simulation study to compare asymptotic and resampling‐based results, as well as an application to a real population, is finally performed.     

LONG‐TERM PERSISTENCE

We study whether a positive historical shock can generate long‐term persistence in development. We show that Italian cities that achieved self‐government in the Middle Ages have a higher level of civic capital today than similar cities in the same area that did not. The size of this effect increases with the length of the period of independence and its intensity. This effect persists even after accounting for the fact that cities did not become independent randomly. We conjecture that the Middle‐Age experience of self‐government fostered self‐efficacy beliefs—beliefs in one's own ability to complete tasks and reach goals—and this positive attitude, transmitted across generations, enhances civic capital today. Consistently, we find that fifth‐graders in former free city‐states exhibit stronger self‐efficacy beliefs and that these beliefs are correlated with a higher level of civic capital. (JEL: O43, P16, O10)     

THE RIGHT AMOUNT OF TRUST

We investigate the relationship between individual trust and individual economic performance. We find that individual income is hump‐shaped in a measure of intensity of trust beliefs. Our interpretation is that highly trusting individuals tend to assume too much social risk and to be cheated more often, ultimately performing less well than those with a belief close to the mean trustworthiness of the population. However, individuals with overly pessimistic beliefs avoid being cheated, but give up profitable opportunities, therefore underperforming. The cost of either too much or too little trust is comparable to the income lost by forgoing college. Our findings hold in large‐scale international survey data, as well as inside a country with high‐quality institutions, and are also supported by experimental findings. (JEL: A1, A12, D1, O15, Z1)     

Family dissolution and precautionary savings: an empirical analysis

The main research question of this paper is whether or not the risk of family disruption has an impact on the consumption/saving decisions of households. Although little empirical work exists in this area, often presenting indirect evidence, the theory is divided over the effect of family risk over saving and wealth accumulation. By using data from the Italian Survey on Households Income and Wealth, we build a probabilistic model to assess the probability of marital splitting, and then we insert this probability as a distinct or interacted regressor, in a statistically consistent way, into a linear model of consumption. Furthermore, we study the differential behaviour, in terms of consumption/saving choices, of couples experiencing marital splitting over the subsequent 2?years. The main result of our analysis is that family disruption risk generates precautionary savings, reducing current consumption. In fact, according to our estimates, on average, the risk of divorce generates an amount of additional yearly precautionary savings of around 800 euros at constant prices of the year 2000, which represents 11% of overall household savings.