Abstract
In this paper, we consider a network composed of several interfering transmitter-receiver pairs where all the terminals are equipped with multiple antennas. The problem of finding the precoding matrices minimizing the outage probabilities is analyzed using a game theoretical framework under the assumption of slow fading links and non-cooperative transmissions. An analytical solution of this game is very difficult to be found in general. Even in the most simple case of single-user, the problem remains an open issue. However, the existence of a pure-strategy Nash equilibrium solution is proven in the extreme SNR regimes. Furthermore, we exploit a simple reinforcement algorithm and show that, based only on the knowledge of one ACK/NACK bit, the users may converge to an Nash equilibrium solution of the game under investigation.
| Original language | English (US) |
|---|---|
| Title of host publication | Conference Record of the 44th Asilomar Conference on Signals, Systems and Computers, Asilomar 2010 |
| Pages | 261-266 |
| Number of pages | 6 |
| DOIs | |
| State | Published - Dec 1 2010 |
| Event | 44th Asilomar Conference on Signals, Systems and Computers, Asilomar 2010 - Pacific Grove, CA, United States Duration: Nov 7 2010 → Nov 10 2010 |
Other
| Other | 44th Asilomar Conference on Signals, Systems and Computers, Asilomar 2010 |
|---|---|
| Country | United States |
| City | Pacific Grove, CA |
| Period | 11/7/10 → 11/10/10 |
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ASJC Scopus subject areas
- Signal Processing
- Computer Networks and Communications
Cite this
Learning to precode in outage minimization games over MIMO interference channels. / Belmega, Elena Veronica; Tembine, Hamidou; Lasaulce, Samson.
Conference Record of the 44th Asilomar Conference on Signals, Systems and Computers, Asilomar 2010. 2010. p. 261-266 5757513.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Learning to precode in outage minimization games over MIMO interference channels
AU - Belmega, Elena Veronica
AU - Tembine, Hamidou
AU - Lasaulce, Samson
PY - 2010/12/1
Y1 - 2010/12/1
N2 - In this paper, we consider a network composed of several interfering transmitter-receiver pairs where all the terminals are equipped with multiple antennas. The problem of finding the precoding matrices minimizing the outage probabilities is analyzed using a game theoretical framework under the assumption of slow fading links and non-cooperative transmissions. An analytical solution of this game is very difficult to be found in general. Even in the most simple case of single-user, the problem remains an open issue. However, the existence of a pure-strategy Nash equilibrium solution is proven in the extreme SNR regimes. Furthermore, we exploit a simple reinforcement algorithm and show that, based only on the knowledge of one ACK/NACK bit, the users may converge to an Nash equilibrium solution of the game under investigation.
AB - In this paper, we consider a network composed of several interfering transmitter-receiver pairs where all the terminals are equipped with multiple antennas. The problem of finding the precoding matrices minimizing the outage probabilities is analyzed using a game theoretical framework under the assumption of slow fading links and non-cooperative transmissions. An analytical solution of this game is very difficult to be found in general. Even in the most simple case of single-user, the problem remains an open issue. However, the existence of a pure-strategy Nash equilibrium solution is proven in the extreme SNR regimes. Furthermore, we exploit a simple reinforcement algorithm and show that, based only on the knowledge of one ACK/NACK bit, the users may converge to an Nash equilibrium solution of the game under investigation.
UR - http://www.scopus.com/inward/record.url?scp=79957995336&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=79957995336&partnerID=8YFLogxK
U2 - 10.1109/ACSSC.2010.5757513
DO - 10.1109/ACSSC.2010.5757513
M3 - Conference contribution
AN - SCOPUS:79957995336
SN - 9781424497218
SP - 261
EP - 266
BT - Conference Record of the 44th Asilomar Conference on Signals, Systems and Computers, Asilomar 2010
ER -