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Equivalent Bilevel Programming Form for the Generalized Nash Equilibrium Problem
Generalized Nash equilibrium point Bilevel Programming efficient solution optimal solution
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2011/11/17
Generalized Nash Equilibrium problem is widely used but hard to solve. In this paper, we transform the generalized Nash game into a special bilevel programming with one leader and multi-followers by s...
A NEW DESCENT ALGORITHM FOR SOLVING QUADRATIC BILEVEL PROGRAMMING PROBLEMS
Bilevel programming quadratic
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2007/12/10
In this paper, we give a descent algorithm for solving quadratic bilevel programming problems. It is proved that the descent algorithm finds a locally optimal solution to a quadratic bilevel programm...
OPTIMALITY CONDITIONS FOR NONCONVEX BILEVEL PROGRAMMING PROBLEMS
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2007/8/7
In this paper, we derive an exact penalty function for nonconvex bilevel programming problem based on its KS form. Based on this exact penalty function a sufficient condition for KS to be partially c...