In this thesis, we are interested in collective decision-making. The objective is to find a tradeoff solution for problems that are evaluated by multiple points of view. We consider problems having a matroid structure. Matroid theory is significant in combinatorial optimization, it helped to...

The ex ante incentive compatible core of an exchange economy with private information is the (standard) core of a characteristic function which expresses the fact that coalitions allocate goods by means of random incentive compatible mechanisms. We first survey some results in the case of...

Le coeur ex ante incitatif d'une économie d'échange en information incomplète est le coeur, au sens de la théorie des jeux coopératifs standard, d'une fonction caractéristique qui rend compte du fait que les coalitions allouent les biens grâce à des mécanismes aléatoires incitatifs....