Add to ORKGMarengo and the second author have developed in the last years a geometric model of social choice when this takes place among bun-dles of interdependent elements, showing that by bundling and un-bundling the same set of constituent elements an authority has the power of determining the social outcome. In this paper we will tie the model above to tournament theory, solving some of the mathematical problems arising in their work and opening new questions which are interesting not only from a mathematical and a social choice point of view, but also from an economic and a genetic one. In particular, we will introduce the notion of u-local optima and we will study it from both a theoretical and a numerical/probabilistic point of view; we will al...