Balancing Asymptotic and Transient Efficiency Guarantees in Set Covering Games

by   Rohit Konda, et al.

Game theoretic approaches have gained traction as a robust methodology for designing distributed local algorithms that induce a desired overall system configuration in a multi-agent setting. However, much of the emphasis in these approaches is on providing asymptotic guarantees on the performance of network of agents, and there is a gap in the study of efficiency guarantees along transients of these distributed algorithms. Therefore, in this paper, we study the transient efficiency guarantees of a natural game-theoretic algorithm in the class of set covering games, which have been used to model a variety of applications. Our main results characterize the optimal utility design that maximizes the guaranteed efficiency along the transient of the natural dynamics. Furthermore, we characterize the Pareto-optimal frontier with regards to guaranteed efficiency in the transient and the asymptote under a class of game-theoretic designs. Surprisingly, we show that there exists an extreme trade-off between the long-term and short-term guarantees in that an asymptotically optimal game-theoretic design can perform arbitrarily bad in the transient.


page 1

page 2

page 3

page 4


Mission Level Uncertainty in Multi-Agent Resource Allocation

In recent years, a significant research effort has been devoted to the d...

Valid Utility Games with Information Sharing Constraints

The use of game theoretic methods for control in multiagent systems has ...

Distributed resource allocation through utility design - Part II: applications to submodular, supermodular and set covering problems

A fundamental component of the game theoretic approach to distributed co...

Asynchronous and time-varying proximal type dynamics multi-agent network games

In this paper, we study proximal type dynamics in the context of noncoop...

Simulation-based Distributed Coordination Maximization over Networks

In various online/offline multi-agent networked environments, it is very...

Corrupted Multidimensional Binary Search: Learning in the Presence of Irrational Agents

Standard game-theoretic formulations for settings like contextual pricin...

Ergodic Mean-Payoff Games for the Analysis of Attacks in Crypto-Currencies

Crypto-currencies are digital assets designed to work as a medium of exc...