Abstract
In this paper we consider an approach for searching an equilibrium in a linear fixed budgets exchange model and its “antipode” the so-called cooperation model. This approach, which may be characterized as a polyhedral complementarity one, leads to the consideration of piecewise constant point-to-set mappings of the unit price simplex into itself. The fixed points of these mappings yield the equilibrium prices. Some finite algorithms are proposed.
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© 2006 Springer-Verlag Berlin Heidelberg
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Shmyrëv, V.I. (2006). An algorithmic approach for searching an equilibrium in fixed budget exchange models. In: Driessen, T.S.H., van der Laan, G., Vasil’ev, V.A., Yanovskaya, E.B. (eds) Russian Contributions to Game Theory and Equilibrium Theory. Theory and Decision Library C:, vol 39. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-32061-X_12
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DOI: https://doi.org/10.1007/3-540-32061-X_12
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