Research output per year
Research output per year
Guy Avni, Tami Tamir
Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review
We study a very general cost-sharing scheduling game. An instance consists of k jobs and m machines and an arbitrary weighed bipartite graph denoting the job strategies. An edge connecting a job and a machine specifies that the job may choose the machine; edge weights correspond to processing times. Each machine has an activation cost that needs to be covered by the job assigned to it. Jobs assigned to a particular machine share its cost proportionally to the load they generate. Our game generalizes singleton cost-sharing games with weighted players. We provide a complete analysis of the game with respect to equilibrium existence, computation, convergence and quality – with respect to the total cost. We study both unilateral and coordinated deviations. We show that the main factor in determining the stability of an instance and the quality of a stable assignment is the machines’ activation-cost. Games with unit-cost machines are potential games, and every instance has an optimal solution which is also a pure Nash equilibrium (PNE). On the other hand, with arbitrary-cost machines, a PNE is guaranteed to exist only for very limited instances, and the price of stability is linear in the number of players. Also, the problem of deciding whether a given game instance has a PNE is NP-complete. In our analysis of coordinated deviations, we characterize instances for which a strong equilibrium exists and can be calculated efficiently, and show tight bounds for the SPoS and the SPoA.
Original language | English |
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Title of host publication | Algorithmic Game Theory - 8th International Symposium, SAGT 2015 |
Editors | Martin Hoefer, Martin Hoefer |
Publisher | Springer Verlag |
Pages | 69-81 |
Number of pages | 13 |
ISBN (Print) | 9783662484326 |
DOIs | |
State | Published - 2015 |
Externally published | Yes |
Event | 8th International Symposium on Algorithmic Game Theory, SAGT 2015 - Saarbrucken, Germany Duration: 28 Sep 2015 → 30 Sep 2015 |
Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Volume | 9347 |
ISSN (Print) | 0302-9743 |
ISSN (Electronic) | 1611-3349 |
Conference | 8th International Symposium on Algorithmic Game Theory, SAGT 2015 |
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Country/Territory | Germany |
City | Saarbrucken |
Period | 28/09/15 → 30/09/15 |
Research output: Contribution to journal › Article › peer-review