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    The Stick-Breaking and Ordering Representations of Compositional Data: Copulas and Regression models

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    Compositional Data (CoDa) is usually viewed as data on the simplex and is studied via a log-ratio analysis, following the classical work of Aitchison (1986). We propose to bring to the fore an alternative view of CoDa as a stick breaking process, an approach which originates from Bayesian nonparametrics. The first stick-breaking approach gives rise to a view of CoDa as ordered statistics, from which we can derive “stick-ordered” distributions. The second approach is based on a rescaled stick-breaking transformation, and give rises to a geometric view of CoDa as a free unit cube. The latter allows to introduce copula and regression models, which are useful for studying the internal or external dependence of CoDa. These stick-breaking representations allow to effectively and simply deal with CoDa with zeroes. We establish connections with other topics of probability and statistics like i) spacings and order statistics, ii) Bayesian nonparametrics and Dirichlet distributions, iii) neutrality, iv) hazard rates and the product integral, v) mixability

    Human-Robot Interactions in Investment Decisions

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    We study the introduction of robo-advising on a large set of Employee Saving Plans. Differently from many services that fully automate portfolio decisions, our robo-advisor proposes investment and rebalancing strategies, leaving investors free to follow or ignore them. The resulting human-robot interactions occur both at the time of the subscription and over time, as the robot sends alerts when the investor’s portfolio gets too far from the target allocation. We show that the robo-service is associated with an increase in investors’ attention and trading activities. Following the robot’s alerts, investors change their rebalancing behaviors so as to stay closer to their target allocation, which results in larger portfolio returns. Counterfactual returns induced by automatic rebalancing by the robot would be only slightly higher, suggesting that on average the financial cost of letting investors retain control is not large

    Do carbon emissions affect the cost of capital?

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    We empirically study whether carbon emissions affect firms’ cost of capital raised on conventional bond markets. We find that firms with higher carbon emissions face higher spreads in the secondary market but not in the primary market. We show that this gap is related to uncertainty about climate concerns that affects differently primary and secondary market. This gap is also affected by the reputation of underwriting dealers: high reputation promotes the incorporation of climate concerns into bond yields. Our findings imply that, on average, carbon emissions do not affect the cost of capital in bond markets, thereby reducing firms’ financial incentives for decarbonization

    Souveraineté numérique : "Oui, nous devons et pouvons agir face aux GAFAM"

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    Nash versus Kant: A game-theoretic analysis of childhood vaccination behavior

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    The vaccination game exhibits positive externalities. The standard game-theoretic approach assumes that parents make decisions according to the Nash protocol, which is ndividualistic and non-cooperative. However, in more solidaristic societies, parents may behave cooperatively, optimizing according to the Kantian protocol, in which the equilibrium is efficient. We develop a random utility model of vaccination behavior and prove that the equilibrium coverage rate is larger with the Kant protocol than with the Nash one. Using survey data collected from six countries, we calibrate the parameters of the vaccination game, compute both Nash equilibrium and Kantian equilibrium profiles, and compare them with observed vaccination behavior. We find evidence that parents demonstrate cooperative behavior in all six countries. The study highlights the importance of cooperation in shaping vaccination behavior and underscores the need to consider these factors in public health interventions

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