Reference
N. Groot, B. De Schutter, and H. Hellendoorn, "Optimal leader functions for the
reverse Stackelberg game: Splines and basis functions,"
Proceedings of the 2013 European Control Conference,
Zürich, Switzerland, pp. 696-701, July 2013.
Abstract
In order to deal with the control of large-scale infrastructures, a multi-level
approach may be required in which several groups of decision makers have
different objectives. A game formulation can help to structure such a control
task. The reverse Stackelberg game has a hierarchical structure in which the
follower player acts subsequent to the leader's disclosure of her leader
function, which maps the follower decision space into the leader decision
space. The problem of finding a leader function such that the leader's
objective function is optimized, given an optimal response w.r.t. the follower
objective function, is in general a difficult problem. So far, the set of
optimal affine leader functions has been delineated. However, for the more
general class of nonlinear leader functions, no structured solution approach
exists yet. In this paper, we consider several nonlinear structures for an
optimal leader function based on basis functions as well as based on
interpolating splines and we show how these approaches can be adopted to find
an optimal leader function.
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BibTeX
@inproceedings{GroDeS:13-023,
author = {Groot, Noortje and De Schutter, Bart and Hellendoorn, Hans},
title = {Optimal Leader Functions for the Reverse {Stackelberg} Game:
{Splines} and Basis Functions},
booktitle = {Proceedings of the 2013 European Control Conference},
address = {Z\"urich, Switzerland},
pages = {696--701},
month = jul,
year = {2013}
}