Pari, commande, restitution

The Pari-Mutuel Model

We explore generalizations of the pari-mutuel model (PMM), a formalization of an intuitive way of assessing an upper probability from a precise one. We discuss a naive extension of the PMM considered in insurance and generalize the natural extension of the PMM introduced by P. Walley and other related formulae. The results are subsequently given a risk measurement interpretation: in particular ...

Questa e quella per me pari sono.

Optimisation et théorie de la commande robuste

Le paradigme central en théorie de la commande robuste repose sur la structure de commande à contre-réaction et sur les modèles linéaires à temps invariant (LTI) des systèmes dynamiques (cf. figure 1). La première utilise l’information des sorties mesurées y pour élaborer un signal de commande u. Les modèles LTI quant à eux sont des objets mathématiques bien caractérisés et simples à utiliser. ...

Pari-Mutuel Markets: Mechanisms and Performance

Recently, there has been an increase in the usage of centrally managed markets which are run by some form of pari-mutuel mechanism. A parimutuel mechanism is characterized by the ability to shield the market organizer from financial risk by paying the winners from the stakes of the losers. The recent introduction of new, modified pari-mutuel methods has spurred the growth of prediction markets ...

Restitution and Reconciliation