In this paper, an infinite-horizon team-optimal incentive Stackelberg strategy is investigated for a class of stochastic linear systems with many non-cooperative leaders and one follower. An incentive structure is adopted which allows for the leader's team-optimal Nash solution. It is shown that the incentive strategy set can be obtained by solving the cross-coupled stochastic algebraic Riccati equations (CCSAREs). In order to demonstrate the effectiveness of the proposed strategy, a numerical example is solved.
Hiroaki MUKAIDANI
Hiroshima University
The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.
Copy
Hiroaki MUKAIDANI, "Infinite-Horizon Team-Optimal Incentive Stackelberg Games for Linear Stochastic Systems" in IEICE TRANSACTIONS on Fundamentals,
vol. E99-A, no. 9, pp. 1721-1725, September 2016, doi: 10.1587/transfun.E99.A.1721.
Abstract: In this paper, an infinite-horizon team-optimal incentive Stackelberg strategy is investigated for a class of stochastic linear systems with many non-cooperative leaders and one follower. An incentive structure is adopted which allows for the leader's team-optimal Nash solution. It is shown that the incentive strategy set can be obtained by solving the cross-coupled stochastic algebraic Riccati equations (CCSAREs). In order to demonstrate the effectiveness of the proposed strategy, a numerical example is solved.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E99.A.1721/_p
Copy
@ARTICLE{e99-a_9_1721,
author={Hiroaki MUKAIDANI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Infinite-Horizon Team-Optimal Incentive Stackelberg Games for Linear Stochastic Systems},
year={2016},
volume={E99-A},
number={9},
pages={1721-1725},
abstract={In this paper, an infinite-horizon team-optimal incentive Stackelberg strategy is investigated for a class of stochastic linear systems with many non-cooperative leaders and one follower. An incentive structure is adopted which allows for the leader's team-optimal Nash solution. It is shown that the incentive strategy set can be obtained by solving the cross-coupled stochastic algebraic Riccati equations (CCSAREs). In order to demonstrate the effectiveness of the proposed strategy, a numerical example is solved.},
keywords={},
doi={10.1587/transfun.E99.A.1721},
ISSN={1745-1337},
month={September},}
Copy
TY - JOUR
TI - Infinite-Horizon Team-Optimal Incentive Stackelberg Games for Linear Stochastic Systems
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1721
EP - 1725
AU - Hiroaki MUKAIDANI
PY - 2016
DO - 10.1587/transfun.E99.A.1721
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E99-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 2016
AB - In this paper, an infinite-horizon team-optimal incentive Stackelberg strategy is investigated for a class of stochastic linear systems with many non-cooperative leaders and one follower. An incentive structure is adopted which allows for the leader's team-optimal Nash solution. It is shown that the incentive strategy set can be obtained by solving the cross-coupled stochastic algebraic Riccati equations (CCSAREs). In order to demonstrate the effectiveness of the proposed strategy, a numerical example is solved.
ER -