Abstract

In this study, to reduce the energy consumption for the federated learning (FL) participation of mobile devices (MDs), we design a novel joint dataset and incentive management mechanism for FL over mobile edge computing (MEC) systems. We formulate a Stackelberg game to model and analyze the behaviors of FL participants, referred to as MDs, and FL service providers, referred to as MECs. In the proposed game, each MEC is the leader, whereas the MDs are followers. As the leader, to maximize its own revenue by considering the trade-off between the cost of providing incentives and the estimated accuracy attained from an FL operation, each MEC provides full incentives to the MDs for the participation of each FL task, as well as the target accuracy level for each MD. The suggested total incentives are allocated over MDs’ proportion to the amount of dataset applied for local training, which indirectly affects the global accuracy of the FL. Based on the suggested incentives, the MDs determine the amount of dataset used for the local training of each FL task to maximize their own payoffs, which is defined as the energy consumed from FL participation and the expected incentives. We study the economic benefits of the joint dataset and incentive management mechanism by analyzing its hierarchical decision-making scheme as a multi-leader multi-follower Stackelberg game. Using backward induction, we prove the existence and uniqueness of the Nash equilibrium among MDs, and then examine the Stackelberg equilibrium by analyzing the leader game. We also discuss extensions of the proposed mechanism where the MDs are unaware of explicit information of other MD profiles, such as the weights of the revenue as a practical concern, which can be redesigned into the Stackelberg Bayesian game. Finally, we reveal that the Stackelberg equilibrium solution maximizes the utility of all MDs and the MECs.

Highlights

  • F EDERATED learning (FL), a term coined in 2016 by MacMahan et al, has emerged as a promising approach enabling mobile devices (MDs) to collaboratively synthesize a shared global model while maintaining the privacy of their decentralized sensitive data

  • ‚ As a practical concern, we provide discussions regarding an extension of our scenario as the Stackelberg Bayesian game where the MDs are assumed not to know the private profiles of other MDs by addressing the existence of the Bayesian Nash equilibrium (BNE) for the follower game

  • We proposed a novel joint dataset and incentive management mechanisms for FL over mobile edge computing (MEC)

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Summary

INTRODUCTION

F EDERATED learning (FL), a term coined in 2016 by MacMahan et al, has emerged as a promising approach enabling mobile devices (MDs) to collaboratively synthesize a shared global model while maintaining the privacy of their decentralized sensitive data. Despite these benefits, the FL participation of the MDs contains energy consumption for i) local training at the MDs and ii) transmission of the trained model parameters (e.g., gradients or weights) from the MDs to the cloud, which is challenging the current FL approaches because such significant energy consumption makes MDs with a limited battery reluctant to participate in the FL procedure. Few studies have been conducted on incentive mechanisms considering the competitive situation between FL service providers and MDs [11], [12] They do not consider the dataset management issues associated with the energy consumption problem inherent to FL.

RELATED WORK
SYSTEM MODEL AND PROBLEM FORMULATION
ENERGY CONSUMPTION ANALYSIS
UTILITY FUNCTION OF MEC (FL SERVICE
UTILITY FUNCTION OF MD (FL PARTICIPANT) For i P I, we consider the following utility function
ANALYSIS OF THE PROPOSED TWO-LEVEL GAME
NON-COOPERATIVE GAME AMONG MDS : MD-LEVEL GAME
EFFICIENCY OF NASH EQUILIBRIUM FOR MDS
UTILITY MAXIMIZATION FOR MECS
DISCUSSIONS
PERFORMANCE EVALUATION
CONCLUSION
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