In games with strategic substitutes (GSS), convergence of the best response dynamic startingfrom the inf (or sup) of the strategy space is equivalent to global stability (convergence ofevery adaptive dynamic to the same pure strategy Nash equilibrium). Consequently, inGSS, global stability can...

Recent developments in voting theory show that Condorcet profiles embedded in electoratesare responsible for conflicts between pairwise voting methods and for reversals ofrankings under positional methods whenever candidates are dropped or added. Because ofthe strong symmetry of the rankings of...