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Titlebook: Nondifferentiable and Two-Level Mathematical Programming; Kiyotaka Shimizu,Yo Ishizuka,Jonathan F. Bard Book 1997 Springer Science+Busines

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Min-Max Problem,he min-max solution and is one of several conservative approaches to decision making under uncertainty. When stochastic information is available for . other approaches might be more appropriate (e.g., see [S4, E3]).
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The Stackelberg Problem: General Case, able to influence but not control the actions of the follower. This is achieved by reducing the set of feasible choices available to the latter. Subsequently, the follower reacts to the leader’s decision by choosing a y ∈ .. in an effort to minimizes his costs. In so doing, he indirectly affects the leader’s solution space and outcome.
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Nondifferentiable Nonlinear Programming,consisting of differentiable functions. Here, we shall derive Kuhn-Tucker like conditions for two classes of non-differentiable optimization problems consisting of locally Lipschitz functions and of quasidifferentiable functions.
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Two-Level Mathematical Programming Problem, context of general two-level nonlinear programming. In so doing, we show how several variants fit the general model. As such, one can achieve a unified framework for each individual problem discussed in the following chapters.
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