Prime objects of this note are (I) excess demand generated by price-taking economic agents, and (II) an alternative version of tatonnement. We relate laws of demand, axioms of revealed preferences, and other notions of generalized monotonicity to "evolutionary stable" prices. Focus is on local...

We provide necessary condition for Pareto optimum in economies where tastes or technologies may be nonconvex, nonsmooth, and affected by externalities. Firms can pursue own objectives, much like the consumers. Infinite-dimensional commodity spaces are accomodated. Public goods and material...

Motivated by economic examples the authors study equation solving undertaken in parallel by several non-communicating agents, each dealing with his own block of variables. The process is akin to Newton's method in using derivative information. It does, however, proceed without matrix inversion...