A network is a collection of gates, each with many inputs and many outputs, where links join individual outputs to individual inputs of gates; the unlinked inputs and outputs of gates are viewed as inputs and outputs of the network. A stable configuration assigns values to inputs, outputs, and links in a network, to ensure that the gate equations are satisfied. The problem of finding stable configurations in a network is computationally hard. In this work, Feder restricts attention to gates that satisfy a nonexpansiveness condition requiring small perturbations at the inputs of a gate to have only a small effect at the outputs of the gate. The stability question on the class of networks satisfying this local nonexpansiveness condition contains stable matching as a main example, and defines the boundary between tractable and intractable versions of network stability.

Abstract 
Acknowledgements 
Introduction 
Preliminaries 
Stability in nonexpansive networks 
Optimization and enumeration 
Stable matching 
Metric networks and product graphs 
Bibliography 
Index

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