Solving multi-leader-common-follower games
Multi-leader-common-follower games arise when modelling two or more competitive firms, the leaders, that commit to their decisions prior to another group of competitive firms, the followers, that react to the decisions made by the leaders. These problems lead in a natural way to equilibrium problems...
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| Vydáno v: | Optimization methods & software Ročník 25; číslo 4; s. 601 - 623 |
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| Hlavní autoři: | , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Abingdon
Taylor & Francis
01.08.2010
Taylor & Francis Ltd |
| Témata: | |
| ISSN: | 1055-6788, 1029-4937 |
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| Abstract | Multi-leader-common-follower games arise when modelling two or more competitive firms, the leaders, that commit to their decisions prior to another group of competitive firms, the followers, that react to the decisions made by the leaders. These problems lead in a natural way to equilibrium problems with equilibrium constraints (EPECs). We develop a characterization of the solution sets for these problems and examine a variety of nonlinear optimization and nonlinear complementarity formulations of EPECs. We distinguish two broad cases: problems where the leaders can cost-differentiate and problems with price-consistent followers. We demonstrate the practical viability of our approach by solving a range of medium-sized test problems. |
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| AbstractList | Multi-leader-common-follower games arise when modelling two or more competitive firms, the leaders, that commit to their decisions prior to another group of competitive firms, the followers, that react to the decisions made by the leaders. These problems lead in a natural way to equilibrium problems with equilibrium constraints (EPECs). We develop a characterization of the solution sets for these problems and examine a variety of nonlinear optimization and nonlinear complementarity formulations of EPECs. We distinguish two broad cases: problems where the leaders can cost-differentiate and problems with price-consistent followers. We demonstrate the practical viability of our approach by solving a range of medium-sized test problems. |
| Author | Leyffer, Sven Munson, Todd |
| Author_xml | – sequence: 1 givenname: Sven surname: Leyffer fullname: Leyffer, Sven organization: Mathematics and Computer Science Division , Argonne National Laboratory – sequence: 2 givenname: Todd surname: Munson fullname: Munson, Todd email: tmunson@mcs.anl.gov organization: Mathematics and Computer Science Division , Argonne National Laboratory |
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| SubjectTerms | equilibrium problems with equilibrium constraints Leadership Mathematical programming mathematical programming with equilibrium constraints Nash games nonlinear complementarity problems Nonlinear programming Stackelberg games |
| Title | Solving multi-leader-common-follower games |
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