Solutions périodiques de systèmes hamiltoniens sur des surfaces d'énergie étoilées
Degré et théorèmes de point fixe pour les fonctions multivoques ; applications
Instantaneous self-fulfilling of long-term prophecies on the probabilistic distribution of financial asset values
A system of non-linear functional differential equations arising in an equilibrium model of an economy with borrowing constraints
On knowledge games.
We give a formalization of the ?knowledge games? which allows to study their decidability and convergence as a problem of mathematics. Our approach is based on a metalemma analogous to those of Von Neumann and Morgenstern at the beginning of Game Theory. We are led to definitions which characterize the knowledge games as objects is standard set theory. We then study rigorously the most classical knowledge games and, although we also prove that the ?common knowledge? in these games may be incomputable,...
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