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    Public Persuasion with Endogenous Fact-Checking

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    We study public persuasion when a sender communicates with a large audience that can fact-check at heterogeneous costs. The sender commits to a public information policy before the state is realized, but any verifiable claim she makes after observing the state must be truthful (an ex-post implementability constraint). Receivers observe the public message and then decide whether to verify; this selective verification feeds back into the sender’s objective and turns the design problem into a constrained version of Bayesian persuasion. Our main result is a reverse comparative static: when factchecking becomes cheaper in the population, the sender optimally supplies a strictly less informative public signal. Intuitively, cheaper verification makes bold claims invite scrutiny, so the sender coarsens information to dampen the incentive to verify. We also endogenize two ex-post instruments—continuous falsification and fixed-cost repression—and characterize threshold substitutions from persuasion to manipulation and, ultimately, to repression as monitoring improves. The framework provides testable predictions for how transparency, manipulation, and repression co-move with changes in verification technology

    SPORT ET LAICITE, histoire, philosophie et droit

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    La laïcité exalte la puissance de concorde et d’accomplissement qui fait tout le prix de l’activité sportive. Pour le montrer il fallait un petit livre pluridisciplinaire. Histoire, philosophie, et droit. C’est chose faite avec cet ouvrage. On y trouvera un aperçu historique qui raconte l’épanouissement du sport dans l’éducation des jeunes gens. On y puisera aussi les principes philosophiques de la laïcité qui orientent le sport vers la paix et le respect mutuel. On en tirera enfin des repères juridiques précieux pour tous les sportifs, quel que soit le cadre de leur pratique et, plus largement, pour toutes les personnes qui ont en charge l’organisation et la gestion d’une structure sportive

    Directive sur la surveillance des sols : celle que l’on attendait plus !

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    Une nouvelle année qui s'ouvre entre loi spéciale et attente du vote

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    La mondialisation face à l'urgence écologique

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    Swarm dynamics for global optimization on finite sets

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    Consider the global optimisation of a function defined on a finite set endowed with an irreducible and reversible Markov generator. By integration, we extend to the set of probability distributions on and we penalize it with a time-dependent generalized entropy functional. Endowing with a Maas’ Wasserstein-type Riemannian structure enables us to consider an associated time-inhomogeneous gradient descent algorithm. There are several ways to interpret this -valued dynamical system as the time-marginal laws of a time-inhomogeneous non-linear Markov process taking values in , each of them allowing for interacting particle approximations. This procedure extends to the discrete framework the continuous state space swarm algorithm approach of Bolte et al. (2023), but here we go further by considering more general generalized entropy functionals for which functional inequalities can be proven. Thus in the full generality of the above finite framework, we give conditions on the underlying time dependence ensuring the convergence of the algorithm toward laws supported by the set of global minima of . Numerical simulations illustrate that one has to be careful about the choice of the time-inhomogeneous non-linear Markov process interpretation

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