Title :
Numerical methods for Stackelberg-Nash equilibrium calculation with favorable and unfavorable followers
Author :
Moya, S. ; Poznyak, A.
Author_Institution :
Dept. of Autom. Control, CINVESTAV-IPN, Mexico City
Abstract :
Regularized versions of the rdquoProjectional Gradient Techniquerdquo and the ldquoExtraproximal Methodrdquo are suggested to be applied for finding Stackelberg-Nash equilibrium in a multi-participant static game. A comparative between these methods is shown. There exist two levels of hierarchy in decision making: the first one consists of a leader decision and the second one is formed by the decisions of (N - 1)-followers. The followers react to the leaderpsilas announced strategy by playing according to the Nash equilibrium concept among themselves selecting those of equilibriums which is most favorable or unfavorable for the leader. The convergence of the suggested procedure is analyzed. Simulation results illustrate the feasibility of this method.
Keywords :
decision making; game theory; numerical analysis; Stackelberg-Nash equilibrium; multi-participant static game; numerical methods; Automatic control; Convergence; Decision making; Game theory; Lagrangian functions; Nash equilibrium; Optimization methods;
Conference_Titel :
Electrical Engineering, Computing Science and Automatic Control, 2008. CCE 2008. 5th International Conference on
Conference_Location :
Mexico City
Print_ISBN :
978-1-4244-2498-6
Electronic_ISBN :
978-1-4244-2499-3
DOI :
10.1109/ICEEE.2008.4723369
