Potential Game Theory: Applications in Radio Resource Allocation

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Nash bargaining about the players, payoffs, strategies, and the order of solution is a Pareto optimality to NBS. Generally, such games are in the GT. In fact, a NE is an actions profile, which satis- solved using the concept of a Nash equilibrium [45].

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Accordingly, NE is a stable outcome distribution of pays. In fact, it allows us to consider games of the game. Accordingly, we can easily prove the existence of NE. Game theory in LTE-A resource allocation 5. Indeed, in [48] authors demonstrate how GT can be applied to wireless network.

1. Introduction

More importantly, it presents a mapping Figure 6. Different types of game between the basic components of a game and the entities of Furthermore, GT has several categories, as shown in Figure 6; wireless networks that should be designated before applying each one of them has its specific features and fits a specific the theory to a wireless-specific problem, as follows: type of problems. It only fo- tion in downlink LTE downlink. It doesn't cover the mance analysis of a LTE Advanced This paper reviewed several re- downlink LTE system source allocation schemes for per- [51] using formance analysis in downlink di- different radio resource rection for LTE systems.

However, it does not [55] Techniques in Cogni- namely, auctions, game theory, Mar- focus on game theory methods and tive Radio Networks kov models and multi-agent sys- it does include all resource alloca- tems. However, It does lenges and Future literature to solve this problem in not focus on game theory methods Scope LTE particularly.

It presents a game theoretical formula- ical Formulation game bar- tion that links proportional fairness to the logarithm of for Proportional Subcarrier, [58] gaining game, the throughput as a utility function to be maximized. Fairness scheduling heuristic al- This framework can be applied in both centralized and in LTE Uplink gorithm distributed scenarios.

Finally, a heuristic scheduling scheduling algorithm achieving this proportional fairness with low complexity is then designed and tested. Therefore, in Fading Multi- the algorithm optimize the network sum-rate maximi- ple Access Chan- zation. A Fast and Fair This work proposes a low complexity, fast and fair Algorithm for distributed subcarrier allocation algorithm. Compared Distributed Sub- Cooperative to the PF scheduler, this algorithm achieves almost an carrier Alloca- game, Nash [69] Subcarrier equivalent sum rate, a same fairness providing a fair tion Using Coali- bargaining operating point for all users.

It studies the association [70] source Manage- Spectrum game, a problem in the context of distributed decision making ment in Hetero- Bayesian in order to alleviate the burden from the base stations.


A Novel Re- This work presents a novel resource allocation algo- source Allocation rithm based on game theory where subcarriers are al- Algorithm in Up- located according to the normalized channel gain and link Non-coopera- Power, sub- [72] power is allocation adopts a novel non-cooperative Multi-cell tive game carrier game model based on arc tangent function. Game Theory This work presents an efficient load-balancing algo- rithm for the LTE communication system combining two types of games namely cooperative and non-coop- A game theoretic Cooperative erative game in order to reduce congestion and to im- scenario game, non- Load Balanc- [73] prove cell capacity.

However, those teams consist of only 2 agents.

It finally proposes a distrib- proach uted RB access algorithm to compute the correlated equilibrium RB allocation policy. This work proposes an efficient distributed dynamic Efficient Distrib- resource allocation DDRA scheme to coordinate the uted Dy- Cooperative inter-cell interference and verify the existence of the namic Re- game, Nash PRB, interfer- Nash equilibrium.

This scheme can be implemented in tion for LTE Sys- game sequential or parallel manner in the LTE uplink and tems downlink scenarios to mitigate the inter-cell interfer- ence effectively.


Marginal Contribution-Based Distributed Subchannel Allocation in Small Cell Networks

For the BS power allocation, it on game theory equilibrium ning applies cooperation game theory. The initial condi- tions are calculated by the traffic search method and update during the game theory working. Resource alloca- This work proposes a semi-distributed resource tion based on in- Non-coopera- allocation framework for the resource optimization in teger program- tive game, multi-cell uplink cooperative OFDM systems combin- ming and game [78] cooperative Subcarrier ing three methods cooperative game, non-cooperative theory in uplink game, integer game and the integer programming to enhance the sys- multi-cell coop- programming tem sum rates , to regulate power allocation in the two erative OFDMA time slots and to achieve the fairness among users.

They choose their control policy freely Control in Wire- and selfishly in order to maximize their individual en- less Networks ergy efficiency. This work studies a user-centric quality of experience User Satisfaction Auction based resource allocation problem where operators Based Re- game, equi- compete for users request using auction approach. It [81] source Alloca- Bandwidth librium solu- also studies user satisfaction for several types of users tion in Future tion and different class of services.

It proposes a frame- Heterogeneous work for short-term user-operator contractual vision. This work proposes CR network models for providing spectrum management, which includes spectrum trad- A Game Theo- Bertrand ing, and spectrum competition. The model includes retic Approach to game, multiple levels of QoS for different secondary users Spectrum Man- [82] Stackelberg Spectrum and takes into account the changes in the price.

Potential Game Theory : Applications in Radio Resource Allocation

The agement in Cog- game, Nash work adopts a Bertrand game for the spectrum compe- nitive Radio Net- equilibrium tition issue and a Stackelberg game for spectrum trad- work ing, using the Nash equilibrium solution for both games This work proposes a dynamic Physical Resource Blocks PRBs allocation scheme in a dual-hop LTE- advanced by using game theory, to improve the radio A new PRB shar- capacity. It introduces a new repeated game, in which ing scheme in Repeated a selfish node can achieve cooperative spectrum op- dual-hop LTE- Spectrum, in- [83] game, coop- portunities sharing under the threat of punishment, in advanced sys- terference erative game order to enhance the PRBs assignment to both nodes tem using game in the network while reducing the mutual interference theory between them.

As result, the spectrum utilization is improved and the total achieved throughput is en- hanced in the network. This work considers the centralized problem of uplink A Quality-of-Ex- resource allocation for real-time multimedia commu- perience driven nications which requires the availability of meta infor- bidding game for mation about the multimedia content and channel in- [84] uplink video Auction game PRB formation of all users.

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The work proposes a Quality of transmission in Experience QoE driven bidding game for decentral- next generation ized uplink resource allocation among multiple mobile mobile networks video producers. A real-time ser- Cooperative This work proposes an enhancement of the well- vices perfor- game, bar- known four-colouring method for femtocell interfer- mance and inter- gaining game, Bandwidth, ence mitigation by combining it with cooperative bar- [85] ference mitiga- shapely interference gaining game theory.

It examines the behaviour of tion for femtocell value, bank- real-time services over a femtocell scenario bearing in scenarios ruptcy game mind important QoS constraint. Lagran- Class Support gian formulation is used to find the associated Pareto Optimality.

Learning Parametric Closed-Loop Policies for Markov Potential Games | OpenReview

Non-coopera- tive game, A Game theoreti- This work studies a spectrum allocation game where equilibrium cal approach for K cognitive radio systems compete for a number of selection, spectrum sharing free resource blocks in frequency domain. It focuses payoff domi- [86] in cognitive radio Spectrum on the impact of the perturbations in the payoff func- nance, the fo- systems with tions and the problem of equilibrium selection. Then it formulates the system ent method, in wireless net- balance power consumption and load balance as a multi-objec- Multi-objec- works tive optimisation and finally, it adopts a non-coopera- tive optimisa- tive game, which is proved as a potential game.

The game ment: A two [89] Game, Simul- cell interfer- players eNBs communicate their instantaneous of- player sequen- taneous game ence fered load information, via the X2 interface, and de- tial game model- cide what transmission frequency band restrictions to ling for the long- adopt in order to mitigate ICI. The proposed utility game femtocell net- power game is decomposed in L parallel sub-games, works which has the same equilibrium set with the proposed scheme.

It includes a simple transmission tive game, [92] uling, inter- transmission scheduling algorithm based on RSRP scheduling Water-Filling ference reference signal receiving power and a non-coopera- and game theo- game tive game for power reallocation to reduce the co- retical power re- channel interference. It adopts a potential game framework to ob- [95] game, Nash ergy, subcar- carrier Allocation tain a non-cooperative game convergence to a NE. It imposes an attractive trade-off between the Aerial Platform achievable throughput and the power consumption Based TD- while ensuring fairness among users.

This proposed scheme allows a low complexity ken EXP-RULE implementation, Mechanism in algorithm LTE Networks Cooperative Resource alloca- game, non- This work uses two types of cooperative game, the tion scheme for transferable non- orthogonal fre- utility NTU transferable utility and transferable utility game, the quency division Power, rate, [99] game, TU Bankruptcy game and Nash bargaining game to dy- multiple access subcarrier game, bank- namically allocates subcarrier, power and rate provid- networks based ruptcy game, ing an acceptable trade-off between optimality in on cooperative Nash bargain- terms of overall system throughput and fairness.

It combines the game theory and fuzzy logic infer- fuzzy logic ference 3GPP LTE-A ence methods, which minimizes the required infor- inference Heterogeneous mation exchange among eNBs and fulfils the require- Network ment of self-optimization in SON concept. The pro- Cooperative ing for eICIC in posed algorithm aims to reduce the blanking rate at the game, Nash [] LTE-Advanced: Rate femtocell aggressor while preserving the required bargaining Proposal and optimal blanking rate at the macro-cell.

It also studies game analysis using a the problem of optimal resource partitioning and offset Nash bargaining assignment in the ABSF mode. Then, it sug- terference cells. It proposes a location in Cog- Cooperative distributed coalition formation algorithm whereby us- ni- [] game, Nash Sub-Channel ers myopically maximize their expected payoff by tive LTE Femto- equilibrium choosing the f BS to join. Distributed downlink re- This work proposes a potential game framework for Power, Chan- source allocation distributed resource allocation in downlink of mobile Potential nel, Subcar- [] in cellular net- cellular networks to perform power allocation, subcar- game rier, BS asso- works through rier selection and base station association simultane- ciation spatial adaptive ously.

Distributed re- source allocation This work proposes a distributed and cooperative for device-to-de- Cooperative PRB, Spec- game with transferable utility to optimize the system [] vice communica- game, trans- trum performance in device-to-device D2D communica- tions underlaying ferable utility tions underlying cellular networks.

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It utilizes the game theo- [] static multiple game , run Rate retical concepts of time consistent Core and Coopera- access channels: long game, tion Maintenance to address the issue of allocating A game theoretic Static game transmission rates to users. To optimize the sys- systems: a re- nel, Spectrum tive Combi- tem sum rate over the resource sharing of both D2D verse iterative natorial and cellular modes, we introduce a reverse iterative combinatorial combinatorial auction as the allocation mechanism.

Energy-aware cooperative con- tent distribution This work proposes a cooperative game framework to over wireless Cooperative address the problem of optimal energy-aware content [] Energy, rate networks: Opti- game distribution over wireless networks with mobile-to- mized and dis- mobile cooperation. This work proposes a non-cooperative resource alloca- Energy-aware re- tion scheme to improve the performance of D2D com- source allocation Non-coopera- Power, chan- munication in which D2D UEs are viewed as players [] for device-to-de- tive game, nel, energy, competing for channel resources and adjusting the vice underlay Auction game price transmit power on each channel and optimizing the communication.

Game theoretic distributed dy- This paper proposes a decentralized dynamic resource namic resource Non-coopera- allocation scheme using game theoretic regret match- allocation with tive game, Power, spec- ing procedure to enhance the spectrum efficiency for [] interference zero-sum trum, interfer- cognitive femtocell networks. Joint Optimiza- Non coopera- tion of Collabo- tive game, This work proposes a joint optimization of sensing pa- rative Sensing cooperative Power, rate, rameters and RRA in order to maximize the opportun- [] and Radio Re- game, strate- spectrum, in- istic throughput, under the constraint of limiting undue source Allocation gic game, wa- terference interference towards primary users.

It uses pound impact of a cooperative game theory approach to analyse the opportunistic Power, MCS, cluster formation mechanism in realistic network sce- Cooperative [] scheduling and user, schedul- narios, in which throughput and fairness are boosted game D2D communi- ing via user cooperation. This work proposes a distributed non-cooperative Pareto-optimal game perspective to model the capacity allocation and Nash equilibrium deal with the problem of maximizing network utility.

Finally, the networks. This work proposes a non-cooperative stackelberg Refunding for game to analyze the interactions between the MNO Non-coopera- small cell net- and SHs, with MNO being a leader and SHs being fol- tive game, Power, capac- [] works with lim- lowers. It proposes also a look-up table approach at stackelberg ity ited-capacity MNO and an optimal power allocation algorithm at game backhaul.

SHs through majorization theory to reach a perfect equilibrium. This work proposes a resource allocation scheme for Resource alloca- D2D communications based on a column generation tion for device- Non-coopera- Power, PRB, method and non-cooperative game. The objective is to to-device com- tive game, Spectrum, maximize the spectrum utilization by finding the mini- [] munications un- column gen- scheduling, mum transmission length in terms of time slots for derlaying LTE- eration interference D2D links while protecting the cellular users from advanced net- method harmful interference and guaranteeing the QoS of works.

D2D links.

Potential Game Theory: Applications in Radio Resource Allocation Potential Game Theory: Applications in Radio Resource Allocation
Potential Game Theory: Applications in Radio Resource Allocation Potential Game Theory: Applications in Radio Resource Allocation
Potential Game Theory: Applications in Radio Resource Allocation Potential Game Theory: Applications in Radio Resource Allocation
Potential Game Theory: Applications in Radio Resource Allocation Potential Game Theory: Applications in Radio Resource Allocation
Potential Game Theory: Applications in Radio Resource Allocation Potential Game Theory: Applications in Radio Resource Allocation

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