Many questions of interest can be stated in terms of monotone comparative statics: if a parameter of a constrained optimization problem “increases,” when does its solution “increase” as well. This paper studies monotone comparative statics in different directions in finite-dimensional...

This paper studies games with both strategic substitutes and strategic complements, and more generally, games with strategic heterogeneity (GSH). Such games may behave differently from either games with strategic complements or games with strategic sub- stitutes. Under mild assumptions (on one...

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

This paper studies games with both strategic substitutes and strategic complements, and more generally, games with strategic heterogeneity (GSH). Such games may behave differ- ently from either games with strategic complements or games with strategic substitutes. Under mild assumptions (on one...

This paper analyzes games with both strategic substitutes and strategic complements. Such games may behave differently from either games with strategic complements or games with strategic substitutes. In such games, equilibria do not decrease as the parameter increases. Moreover, natural...