Random order congestion games
Random order congestion games
We introduce a new class of games, Random Order Congestion Games [ROCGs]. In an ROCG, each player has a task that can be carried out by any element of a set of resources, and each resource executes its assigned tasks in a random order. Each player's aim is to minimize his expected cost which is the sum of two terms---the sum of the fixed costs over the set of his utilized resources and the expected cost of his task execution. The cost of a player's task execution is determined by the earliest time his task is completed, and thus it might be beneficial for him to assign his task to several resources. We prove the existence of pure strategy Nash equilibria in ROCGs. Moreover, we present a polynomial time algorithm for finding such an equilibrium in a given ROCG.
706-725
Penn, Michal
4b303716-075a-4f19-8889-a45120885942
Polukarov, Maria
bd2f0623-9e8a-465f-8b29-851387a64740
Tennenholtz, Moshe
59ece0e5-2a43-411c-a491-3994bd42063e
August 2009
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
(2009)
Random order congestion games.
Mathematics of Operations Research, 34 (3), .
(doi:10.1287/moor.1090.0394).
Abstract
We introduce a new class of games, Random Order Congestion Games [ROCGs]. In an ROCG, each player has a task that can be carried out by any element of a set of resources, and each resource executes its assigned tasks in a random order. Each player's aim is to minimize his expected cost which is the sum of two terms---the sum of the fixed costs over the set of his utilized resources and the expected cost of his task execution. The cost of a player's task execution is determined by the earliest time his task is completed, and thus it might be beneficial for him to assign his task to several resources. We prove the existence of pure strategy Nash equilibria in ROCGs. Moreover, we present a polynomial time algorithm for finding such an equilibrium in a given ROCG.
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ROCG MOR final 16 Mar 2009
- Accepted Manuscript
Text
ROCG MOR final 16 Mar 2009
- Other
More information
Published date: August 2009
Identifiers
Local EPrints ID: 267884
URI: http://eprints.soton.ac.uk/id/eprint/267884
ISSN: 0364-765X
PURE UUID: 182e8b7f-ac24-4092-a229-aa36b5398db2
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Date deposited: 16 Sep 2009 20:21
Last modified: 14 Mar 2024 09:01
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Author:
Michal Penn
Author:
Maria Polukarov
Author:
Moshe Tennenholtz
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