论文信息 - A theoretical approximation scheme for Stackelberg problems

A theoretical approximation scheme for Stackelberg problems

We consider the Stackelberg problem corresponding to a two-player game in which one of the two players has the leadership in playing the game. We present a general approach for approximating the considered hierarchical programming problem by a sequence of two-level optimization problems. From a practical point of view, we also give some results for asymptotically Stackelberg approximating sequences and for problems with perturbed constraints.

J. Morgan | P. Loridan

[1] Heinrich von Stackelberg,et al. Stackelberg (Heinrich von) - The Theory of the Market Economy, translated from the German and with an introduction by Alan T. PEACOCK. , 1953 .

[2] Anthony V. Fiacco,et al. Nonlinear programming;: Sequential unconstrained minimization techniques , 1968 .

[3] C. Chen,et al. Stackelburg solution for two-person games with biased information patterns , 1972 .

[4] J. Cruz,et al. Additional aspects of the Stackelberg strategy in nonzero-sum games , 1973 .

[5] J. Cruz,et al. On the Stackelberg strategy in nonzero-sum games , 1973 .

[6] H. Poppe,et al. Compactness in general function spaces , 1974 .

[7] E. Aiyoshi,et al. A new computational method for Stackelberg and min-max problems by use of a penalty method , 1981 .

[8] T. Başar,et al. Dynamic Noncooperative Game Theory , 1982 .

[9] Szymon Dolecki,et al. Tangency and differentiation: Some applications of convergence theory , 1982 .

[10] Jonathan F. Bard,et al. An explicit solution to the multi-level programming problem , 1982, Comput. Oper. Res..

[11] H. Attouch. Variational convergence for functions and operators , 1984 .

[12] T. Zolezzi. On stability analysis in mathematical programming , 1984 .

[13] Jacqueline Morgan,et al. Approximation of the stackelberg problem and applications in control theory , 1985 .