The possibility of mixed-strategy equilibria with constant-returns-to-scale technology under Bertrand competition
نویسندگان
چکیده
We analyze the Nash equilibria of a standard Bertrand model. We show that in addition to the marginal-cost pricing equilibrium there is a possibility for mixed-strategy equilibria yielding positive profit levels. We characterize these equilibria and find that having unbounded revenues is the necessary and sufficient condition for their existence. Hence, we demonstrate that under realistic assumptions the only equilibrium is marginal-cost pricing. JEL classification: C72, L13
منابع مشابه
Creating Full Envelopment in Data Envelopment Analysis with Variable Returns to Scale Technology
In this paper, weak defining hyperplanes and the anchor points in DEA, as an important subset of the set of extreme efficient points of the Production Possibility Set (PPS), are used to construct unobserved DMUs and in the long run to improve the envelopment of all observed DMUs. There has been a surge of articles on improving envelopment in recent years. What has been done first is in Constant...
متن کاملTwo-stage Production Systems under Variable Returns to Scale Technology: A DEA Approach
Data envelopment analysis (DEA) is a non-parametric approach for performance analysis of decision making units (DMUs) which uses a set of inputs to produce a set of outputs without the need to consider internal operations of each unit. In recent years, there have been various studies dealt with two-stage production systems, i.e. systems which consume some inputs in their first stage to produce ...
متن کاملCharacterization of efficient points of the production possibility set under variable returns to scale in DEA
We suggest a method for finding the non-dominated points of the production possibility set (PPS) with variable returns to scale (VRS) technology in data envelopment analysis (DEA). We present a multiobjective linear programming (MOLP) problem whose feasible region is the same as the PPS under variable returns to scale for generating non-dominated points. We demonstrate that Pareto solutions o...
متن کاملPrice Competition with Decreasing Returns-to-Scale: A General Model of Bertrand-Edgeworth Duopoly
We present a novel approach to analyzing models of price competition. By realizing price competition as a class of all-pay contests, we are able to generalize the models in which pricing behavior can be characterized, accommodating convex (possibly asymmetric) cost structures and general demand rationing schemes. Using this approach, we identify necessary and sufficient conditions for a pure st...
متن کامل