[書籍][B] Co** with Selfishness in Congestion Games: Analysis and Design Via LP Duality
Congestion games are a fundamental class of games widely considered and studied in
non-cooperative game theory, introduced to model several realistic scenarios in which …
non-cooperative game theory, introduced to model several realistic scenarios in which …
Coordination mechanisms, cost-sharing, and approximation algorithms for scheduling
We reveal a connection between coordination mechanisms for unrelated machine
scheduling and cost-sharing protocols. Using this connection, we interpret three …
scheduling and cost-sharing protocols. Using this connection, we interpret three …
Makespan minimization via posted prices
We consider job scheduling settings, with multiple machines, where jobs arrive online and
choose a machine selfishly so as to minimize their cost. Our objective is the classic …
choose a machine selfishly so as to minimize their cost. Our objective is the classic …
Efficiency of equilibria in uniform matroid congestion games
Network routing games, and more generally congestion games play a central role in
algorithmic game theory, comparable to the role of the traveling salesman problem in …
algorithmic game theory, comparable to the role of the traveling salesman problem in …
Designing networks with good equilibria under uncertainty
We consider the problem of designing network cost-sharing protocols with good equilibria
under uncertainty. The underlying game is a multicast game in a rooted undirected graph …
under uncertainty. The underlying game is a multicast game in a rooted undirected graph …
[HTML][HTML] Bounding the Price of Anarchy of Weighted Shortest Processing Time Policy on Uniform Parallel Machines
This article investigates the performance of the Weighted Shortest Processing Time (WSPT)
rule as a local sequencing policy in a scheduling game for uniformly related parallel …
rule as a local sequencing policy in a scheduling game for uniformly related parallel …
Minimizing maximum flow time on related machines via dynamic posted pricing
We consider a setting where selfish agents want to schedule jobs on related machines. The
agent submitting a job picks a server that minimizes a linear combination of the server price …
agent submitting a job picks a server that minimizes a linear combination of the server price …
An almost ideal coordination mechanism for unrelated machine scheduling
Coordination mechanisms aim to mitigate the impact of selfishness when scheduling jobs to
different machines. Such a mechanism defines a scheduling policy within each machine and …
different machines. Such a mechanism defines a scheduling policy within each machine and …
Nonatomic non-cooperative neighbourhood balancing games
We introduce a game where players selfishly choose a resource and endure a cost
depending on the number of players choosing nearby resources. We model the influences …
depending on the number of players choosing nearby resources. We model the influences …
Performance guarantee of the jump neighborhood for scheduling jobs on uniformly related machines
FT Muñoz, AA Pinochet - RAIRO-Operations Research, 2022 - rairo-ro.org
We study the worst case performance guarantee of locally optimal solutions for the problem
of scheduling jobs on uniformly related parallel machines with the objective of minimizing …
of scheduling jobs on uniformly related parallel machines with the objective of minimizing …