Publication detail

Hierarchical Structures in Equilibrium Problems

Author(s): RNDr. Michal Červinka Ph.D.,
Type: Others
Year: 2008
Number: 0
ISSN / ISBN:
Published in: Doctoral thesis
Publishing place:
Keywords: MPEC, EPEC, MOPEC, M-stationarity, C-stationarity, Clarke stationarity, existence of a solution, mixed strategy, homotopy method, implicit programming approach
JEL codes:
Suggested Citation:
Abstract: In the thesis we analyze equilibria of the following three conflicting situations when more than one level of decision-making process is present. If there is a single player on the upper-level we can model the situation via mathematical programs with equilibrium constraints (MPECs). When more than one-upper level decision-making player is present, these players can either act to achieve a Nash equilibrium or Pareto optimal strategy, modeled via equilibrium problems with equilibrium constraints (EPECs) or multiobjective problems with equilibrium constraints (MOPECs), respectively.

For each model, with the emphasis on EPECs and MOPECs, we derive the first order necessary optimality conditions, address the question of existence of solutions or weaker concepts of a solution and propose a suitable numerical method.
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