Computation, multiplicity, and comparative statics of Cournot equilibria in integers. (English) Zbl 1347.91189
Summary: We give an efficient algorithm for computing a Cournot equilibrium when the producers are confined to integers, the inverse demand function is linear, and costs are quadratic. The method also establishes existence constructively. We use our characterization to discuss the multiplicity of integer Cournot equilibria and their relationship to the real Cournot equilibrium.
MSC:
| 91B52 | Special types of economic equilibria |
| 91A10 | Noncooperative games |
| 90C10 | Integer programming |
| 90C33 | Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) |
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