The University of Southampton
University of Southampton Institutional Repository

Congestion Games with Load-Dependent Failures: Identical Resources

Congestion Games with Load-Dependent Failures: Identical Resources
Congestion Games with Load-Dependent Failures: Identical Resources
We define a new class of games---congestion games with load-dependent failures} (CGLFs), which generalizes the well-known class of congestion games, by incorporating the issue of resource failures into congestion games. In a CGLF, agents share a common set of resources, where each resource has a cost and a probability of failure. Each agent chooses a subset of the resources for the execution of his task, in order to maximize his own utility. The utility of an agent is the difference between his benefit from successful task completion and the sum of the costs over the resources he uses. CGLFs possess two novel features. It is the first model to incorporate failures into congestion settings, which results in a strict generalization of congestion games. In addition, it is the first model to consider load-dependent failures in such framework, where the failure probability of each resource depends on the number of agents selecting this resource. Although, as we show, CGLFs do not admit a potential function, and in general do not have a pure strategy Nash equilibrium, our main theorem proves the existence of a pure strategy Nash equilibrium in every CGLF with identical resources and nondecreasing cost functions.
210-217
Penn, Michal
4b303716-075a-4f19-8889-a45120885942
Polukarov, Maria
bd2f0623-9e8a-465f-8b29-851387a64740
Tennenholtz, Moshe
59ece0e5-2a43-411c-a491-3994bd42063e
Penn, Michal
4b303716-075a-4f19-8889-a45120885942
Polukarov, Maria
bd2f0623-9e8a-465f-8b29-851387a64740
Tennenholtz, Moshe
59ece0e5-2a43-411c-a491-3994bd42063e

Penn, Michal, Polukarov, Maria and Tennenholtz, Moshe (2007) Congestion Games with Load-Dependent Failures: Identical Resources. EC-07. pp. 210-217 .

Record type: Conference or Workshop Item (Paper)

Abstract

We define a new class of games---congestion games with load-dependent failures} (CGLFs), which generalizes the well-known class of congestion games, by incorporating the issue of resource failures into congestion games. In a CGLF, agents share a common set of resources, where each resource has a cost and a probability of failure. Each agent chooses a subset of the resources for the execution of his task, in order to maximize his own utility. The utility of an agent is the difference between his benefit from successful task completion and the sum of the costs over the resources he uses. CGLFs possess two novel features. It is the first model to incorporate failures into congestion settings, which results in a strict generalization of congestion games. In addition, it is the first model to consider load-dependent failures in such framework, where the failure probability of each resource depends on the number of agents selecting this resource. Although, as we show, CGLFs do not admit a potential function, and in general do not have a pure strategy Nash equilibrium, our main theorem proves the existence of a pure strategy Nash equilibrium in every CGLF with identical resources and nondecreasing cost functions.

Text
CGLF_EC07.pdf - Version of Record
Download (572kB)

More information

Published date: June 2007
Venue - Dates: EC-07, 2007-06-01
Organisations: Agents, Interactions & Complexity

Identifiers

Local EPrints ID: 267877
URI: https://eprints.soton.ac.uk/id/eprint/267877
PURE UUID: 23b57d45-428f-45f9-9303-7d27725e81ce

Catalogue record

Date deposited: 16 Sep 2009 19:15
Last modified: 14 Aug 2019 18:52

Export record

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of https://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×