Multiple Stackelberg variational responses

Authors

  • Szilárd NAGY Babes-Bolyai University, Department of Economics 400591 Cluj-Napoca, Romania e-mail: posztocska@yahoo.com

Keywords:

Stackelberg equilibria, Nash equilibria, Palais-Smale condition, Motreanu-Panagiotopoulos functional.

Abstract

Contrary to the standard literature (where the Stackelberg response function is single-valued), we provide a whole class of functions to show that the Stackelberg variational response set may contain at least three elements.

Mathematics Subject Classification (2010): 91B02, 91B50, 91A90, 91A35.

References

Ambrosetti, A., Rabinowitz, P., Dual variational methods in critical point theory and applications, J. Funct. Anal., 14(1973), 349{381.

Chang, K.-C., Variational methods for non-dfferentiable functionals and their applications to partial differential equations, J. Math. Anal. Appl., 80(1981), 102-129.

Clarke, F.H., Optimization and Non-smooth Analysis, John Wiley & Sons, New York, 1983.

Kristaly, A., Nagy, Sz., Followers' strategy in Stackelberg equilibrium problems on curved strategy sets, Acta Polyt. Hung., 10(2013), no. 7, 69-80.

Kristaly, A., Radulescu, V., Varga, Cs., Variational Principles in Mathematical Physics, Geometry, and Economics, Cambridge University Press, Encyclopedia of Mathematics and its Applications, No. 136, 2010.

Motreanu, D., Panagiotopoulos, P.D., Minimax theorems and qualitative properties of the solutions of hemivariational inequalities, Nonconvex Optimization and its Applications, 29, Kluwer Academic Publishers, Dordrecht, 1999.

Nagy, Sz., Stackelberg equilibria via variational inequalities and projections, J. Global Optim., 57(2013), no. 3, 821-828.

Szulkin, A., Minimax principles for lower semicontinuous functions and applications to nonlinear boundary value problems, Ann. Inst. H. Poincare Anal. Non Lineaire, 3(1986), no. 2, 77-109.

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Published

2015-09-30

How to Cite

NAGY, S. (2015). Multiple Stackelberg variational responses. Studia Universitatis Babeș-Bolyai Mathematica, 60(3), 471–483. Retrieved from https://studia.reviste.ubbcluj.ro/index.php/subbmathematica/article/view/5810

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