Abstract
It is now well-known that a plethora of equilibrium problems, notably, network equilibrium problems, can be uniformly formulated and studied as finite-dimensional variational inequality problems. Indeed, it was precisely the traffic network equilibrium problem, as stated by Smith (1979), and identified by Dafermos (1980) to be a variational inequality problem, that gave birth to the ensuing research activity in variational inequality theory and applications in transportation science, regional science, operations research, and, more recently, in economics.
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Nagurney, A., Zhang, D. (1998). Introduction to Projected Dynamical Systems for Traffic Network Equilibrium Problems. In: Lundqvist, L., Mattsson, LG., Kim, T.J. (eds) Network Infrastructure and the Urban Environment. Advances in Spatial Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-72242-4_8
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