Abstract
This paper is concerned with the formulation of an equilibrium model where each agent’s objective is a linear combination of two criteria, and the ratio of the weights associated with each criterion is continuously distributed across the population. I present several reformulations of that model in different variable spaces, some finite, some infinite While the various reformulations possess quite different theoretical properties, a common numerical procedure for their solution can be worked out. Indeed this algorithm has a very natural relationship with a subproblem common to each reformulation of the model.
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Marcotte, P. (1998). Reformulations of a Bicriterion Equilibrium Model. In: Fukushima, M., Qi, L. (eds) Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods. Applied Optimization, vol 22. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-6388-1_14
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DOI: https://doi.org/10.1007/978-1-4757-6388-1_14
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