SFB 303 Discussion Paper No. A - 135

Author: Maschler, Michael, Guillermo Owen, and Bezalel Peleg
Title: Paths Leading to the Nash Set
Abstract: A dynamic system is constructed to model a possible negotiation process for players facing a (not necessarily convex) pure bargaining game. The critical points of this system are the points where the "Nash product" is stationary. All accumulation points of the solutions of this system are critical points. It turns out that the asymptotically stable critical points of the system are precisely the isolated critical points where the Nash product has a local maximum.
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Creation-Date: October 1987
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