# Game-Theoretic Power and Rate Control in IEEE 802.11\(p\) Wireless Networks
## 5 Conclusions  
In this paper, we addressed the optimisation of power and rate control in IEEE 802.11\(p\) or DSRC vehicular networks. The DSRC standard consists of the IEEE 1609.\(x\) family and IEEE 802.11\(p\). Specifically, the IEEE 1609 is up the stack from the IEEE 802.11\(p\) and handles upper layers from the PHY and MAC without prior information regarding low-layer parameters. The PHY and MAC layers are specified by the IEEE 802.11\(p\) for single-channel operations. We can also include multi-channel operations by dividing the access time to two separate channels with the IEEE 1609.4.  
Specifically, we constructed a new metric based on the PRR (Equation (17)), which pushes it further down the wireless stack, in particular the physical layer. We show that by using QoS constraints, the PRR and rate at maximum constitute the best case equilibrium. An optimisation problem as a potential game has been formulated, and significant Nash equilibrium properties have been presented. It is shown that for the lower SINR, valuescoming from the transmission power values are excluded, the utility function is concave, and otherwise, it is sigmoidal. It has been noted that the data rate increases with the SINR when the transmission power is maximised, which is the best case equilibrium of our approach. A description of the differences between our approach and the conventional one [17] has been provided.  
For future research, we aim to re-formulate our problem to include energy efficiency as well, since this will definitely change the best case equilibrium and the whole optimisation process. Intuitively, the best case equilibrium will not be the one that uses the maximum transmission power. Furthermore, a comprehensive queuing theory model will be adopted in order to include the delay in this work. Moreover, the ns-3 simulator will be utilised to provide initial simulation experimental results by using the WAVE models. Finally, we aim to check whether our model is suitable for practical implementation as well.  
Conceptualization, E.D.S.; methodology, E.D.S.; software, E.D.S.; validation, E.D.S., E.V. and C.S.; formal analysis, E.D.S. and E.V.; investigation, E.D.S.; resources, E.D.S. and E.V.; data curation, E.D.S.; writing--original draft preparation, E.D.S. and E.V.; writing--review and editing, E.D.S., E.V. and C.S.; visualization, E.D.S.; supervision, C.S.; project administration, C.S.; funding acquisition, C.S. All authors have read and agreed to the published version of the manuscript.  
This research received no external funding.  
Please contact Dr [PERSON] for issues involving the data replication, [EMAIL_ADDRESS].  
This research work is co-funded by the project \"Immersive Virtual, Augmented and Mixed Reality Center of Epirus\" (MIS 5047221) implemented under the Action \"Reinforcement of the Research and Innovation Infrastructure\", funded by the Operational Programme \"Competitiveness, Entrepreneurship and Innovation\" (NSRF 2014-2020) and co-financed by Greece and the European Union (European Regional Development Fund).  
The authors declare no conflict of interest.