A note on a class of equilibrium problems with equilibrium constraints. (English) Zbl 1249.49017
Summary: The paper concerns a two-level hierarchical game, where the players on each level behave noncooperatively. In this way one can model e.g., an oligopolistic market with several large and several small firms. We derive two types of necessary conditions for a solution of this game and discuss briefly the possibilities of its computation.
MSC:
| 49J40 | Variational inequalities |
| 49J52 | Nonsmooth analysis |
| 91B24 | Microeconomic theory (price theory and economic markets) |
| 91A65 | Hierarchical games (including Stackelberg games) |
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