To tackle the distributed power optimization problems in wireless sensor networks localization systems, we model the problem as a hierarchical game, i.e. a multi-leader multi-follower Stackelberg game. Existing researches focus on the power allocation of anchor nodes for ranging signals or the power management of agent nodes for cooperative localization, individually. However, the power optimizations for different nodes are indiscerptible due to the common objective of localization accuracy. So it is a new challenging task when the power allocation strategies are considered for anchor and agent nodes simultaneously. To cope with this problem, a hierarchical game is proposed where anchor nodes are modeled as leaders and agent nodes are modeled as followers. Then, we prove that games of leaders and followers are both potential games, which guarantees the Nash equilibrium (NE) of each game. Moreover, the existence of Stackelberg equilibrium (SE) is proved and achieved by the best response dynamics. Simulation results demonstrate that the proposed algorithm can have better localization accuracy compared with the decomposed algorithm and uniform strategy.
Lu LU
PLA Army Engineering University
Mingxing KE
National University of Defense Technology
Shiwei TIAN
PLA Army Engineering University
Xiang TIAN
PLA Army Engineering University
Tianwei LIU
PLA Army Engineering University
Lang RUAN
PLA Army Engineering University
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Lu LU, Mingxing KE, Shiwei TIAN, Xiang TIAN, Tianwei LIU, Lang RUAN, "Distributed Power Optimization for Cooperative Localization: A Hierarchical Game Approach" in IEICE TRANSACTIONS on Communications,
vol. E103-B, no. 10, pp. 1101-1106, October 2020, doi: 10.1587/transcom.2019EBP3237.
Abstract: To tackle the distributed power optimization problems in wireless sensor networks localization systems, we model the problem as a hierarchical game, i.e. a multi-leader multi-follower Stackelberg game. Existing researches focus on the power allocation of anchor nodes for ranging signals or the power management of agent nodes for cooperative localization, individually. However, the power optimizations for different nodes are indiscerptible due to the common objective of localization accuracy. So it is a new challenging task when the power allocation strategies are considered for anchor and agent nodes simultaneously. To cope with this problem, a hierarchical game is proposed where anchor nodes are modeled as leaders and agent nodes are modeled as followers. Then, we prove that games of leaders and followers are both potential games, which guarantees the Nash equilibrium (NE) of each game. Moreover, the existence of Stackelberg equilibrium (SE) is proved and achieved by the best response dynamics. Simulation results demonstrate that the proposed algorithm can have better localization accuracy compared with the decomposed algorithm and uniform strategy.
URL: https://global.ieice.org/en_transactions/communications/10.1587/transcom.2019EBP3237/_p
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@ARTICLE{e103-b_10_1101,
author={Lu LU, Mingxing KE, Shiwei TIAN, Xiang TIAN, Tianwei LIU, Lang RUAN, },
journal={IEICE TRANSACTIONS on Communications},
title={Distributed Power Optimization for Cooperative Localization: A Hierarchical Game Approach},
year={2020},
volume={E103-B},
number={10},
pages={1101-1106},
abstract={To tackle the distributed power optimization problems in wireless sensor networks localization systems, we model the problem as a hierarchical game, i.e. a multi-leader multi-follower Stackelberg game. Existing researches focus on the power allocation of anchor nodes for ranging signals or the power management of agent nodes for cooperative localization, individually. However, the power optimizations for different nodes are indiscerptible due to the common objective of localization accuracy. So it is a new challenging task when the power allocation strategies are considered for anchor and agent nodes simultaneously. To cope with this problem, a hierarchical game is proposed where anchor nodes are modeled as leaders and agent nodes are modeled as followers. Then, we prove that games of leaders and followers are both potential games, which guarantees the Nash equilibrium (NE) of each game. Moreover, the existence of Stackelberg equilibrium (SE) is proved and achieved by the best response dynamics. Simulation results demonstrate that the proposed algorithm can have better localization accuracy compared with the decomposed algorithm and uniform strategy.},
keywords={},
doi={10.1587/transcom.2019EBP3237},
ISSN={1745-1345},
month={October},}
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TY - JOUR
TI - Distributed Power Optimization for Cooperative Localization: A Hierarchical Game Approach
T2 - IEICE TRANSACTIONS on Communications
SP - 1101
EP - 1106
AU - Lu LU
AU - Mingxing KE
AU - Shiwei TIAN
AU - Xiang TIAN
AU - Tianwei LIU
AU - Lang RUAN
PY - 2020
DO - 10.1587/transcom.2019EBP3237
JO - IEICE TRANSACTIONS on Communications
SN - 1745-1345
VL - E103-B
IS - 10
JA - IEICE TRANSACTIONS on Communications
Y1 - October 2020
AB - To tackle the distributed power optimization problems in wireless sensor networks localization systems, we model the problem as a hierarchical game, i.e. a multi-leader multi-follower Stackelberg game. Existing researches focus on the power allocation of anchor nodes for ranging signals or the power management of agent nodes for cooperative localization, individually. However, the power optimizations for different nodes are indiscerptible due to the common objective of localization accuracy. So it is a new challenging task when the power allocation strategies are considered for anchor and agent nodes simultaneously. To cope with this problem, a hierarchical game is proposed where anchor nodes are modeled as leaders and agent nodes are modeled as followers. Then, we prove that games of leaders and followers are both potential games, which guarantees the Nash equilibrium (NE) of each game. Moreover, the existence of Stackelberg equilibrium (SE) is proved and achieved by the best response dynamics. Simulation results demonstrate that the proposed algorithm can have better localization accuracy compared with the decomposed algorithm and uniform strategy.
ER -