---
_id: '6761'
abstract:
- lang: eng
text: In resource allocation games, selfish players share resources that are needed
in order to fulfill their objectives. The cost of using a resource depends on
the load on it. In the traditional setting, the players make their choices concurrently
and in one-shot. That is, a strategy for a player is a subset of the resources.
We introduce and study dynamic resource allocation games. In this setting, the
game proceeds in phases. In each phase each player chooses one resource. A scheduler
dictates the order in which the players proceed in a phase, possibly scheduling
several players to proceed concurrently. The game ends when each player has collected
a set of resources that fulfills his objective. The cost for each player then
depends on this set as well as on the load on the resources in it – we consider
both congestion and cost-sharing games. We argue that the dynamic setting is the
suitable setting for many applications in practice. We study the stability of
dynamic resource allocation games, where the appropriate notion of stability is
that of subgame perfect equilibrium, study the inefficiency incurred due to selfish
behavior, and also study problems that are particular to the dynamic setting,
like constraints on the order in which resources can be chosen or the problem
of finding a scheduler that achieves stability.
article_processing_charge: No
article_type: original
author:
- first_name: Guy
full_name: Avni, Guy
id: 463C8BC2-F248-11E8-B48F-1D18A9856A87
last_name: Avni
orcid: 0000-0001-5588-8287
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
- first_name: Orna
full_name: Kupferman, Orna
last_name: Kupferman
citation:
ama: Avni G, Henzinger TA, Kupferman O. Dynamic resource allocation games. Theoretical
Computer Science. 2020;807:42-55. doi:10.1016/j.tcs.2019.06.031
apa: Avni, G., Henzinger, T. A., & Kupferman, O. (2020). Dynamic resource allocation
games. Theoretical Computer Science. Elsevier. https://doi.org/10.1016/j.tcs.2019.06.031
chicago: Avni, Guy, Thomas A Henzinger, and Orna Kupferman. “Dynamic Resource Allocation
Games.” Theoretical Computer Science. Elsevier, 2020. https://doi.org/10.1016/j.tcs.2019.06.031.
ieee: G. Avni, T. A. Henzinger, and O. Kupferman, “Dynamic resource allocation games,”
Theoretical Computer Science, vol. 807. Elsevier, pp. 42–55, 2020.
ista: Avni G, Henzinger TA, Kupferman O. 2020. Dynamic resource allocation games.
Theoretical Computer Science. 807, 42–55.
mla: Avni, Guy, et al. “Dynamic Resource Allocation Games.” Theoretical Computer
Science, vol. 807, Elsevier, 2020, pp. 42–55, doi:10.1016/j.tcs.2019.06.031.
short: G. Avni, T.A. Henzinger, O. Kupferman, Theoretical Computer Science 807 (2020)
42–55.
date_created: 2019-08-04T21:59:20Z
date_published: 2020-02-06T00:00:00Z
date_updated: 2023-08-17T13:52:49Z
day: '06'
ddc:
- '000'
department:
- _id: ToHe
doi: 10.1016/j.tcs.2019.06.031
external_id:
isi:
- '000512219400004'
file:
- access_level: open_access
checksum: e86635417f45eb2cd75778f91382f737
content_type: application/pdf
creator: dernst
date_created: 2020-10-09T06:31:22Z
date_updated: 2020-10-09T06:31:22Z
file_id: '8639'
file_name: 2020_TheoreticalCS_Avni.pdf
file_size: 1413001
relation: main_file
success: 1
file_date_updated: 2020-10-09T06:31:22Z
has_accepted_license: '1'
intvolume: ' 807'
isi: 1
language:
- iso: eng
month: '02'
oa: 1
oa_version: Submitted Version
page: 42-55
project:
- _id: 25F2ACDE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11402-N23
name: Rigorous Systems Engineering
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z211
name: The Wittgenstein Prize
- _id: 264B3912-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: M02369
name: Formal Methods meets Algorithmic Game Theory
publication: Theoretical Computer Science
publication_identifier:
issn:
- '03043975'
publication_status: published
publisher: Elsevier
quality_controlled: '1'
related_material:
record:
- id: '1341'
relation: earlier_version
status: public
scopus_import: '1'
status: public
title: Dynamic resource allocation games
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 807
year: '2020'
...
---
_id: '2246'
abstract:
- lang: eng
text: 'Muller games are played by two players moving a token along a graph; the
winner is determined by the set of vertices that occur infinitely often. The central
algorithmic problem is to compute the winning regions for the players. Different
classes and representations of Muller games lead to problems of varying computational
complexity. One such class are parity games; these are of particular significance
in computational complexity, as they remain one of the few combinatorial problems
known to be in NP ∩ co-NP but not known to be in P. We show that winning regions
for a Muller game can be determined from the alternating structure of its traps.
To every Muller game we then associate a natural number that we call its trap
depth; this parameter measures how complicated the trap structure is. We present
algorithms for parity games that run in polynomial time for graphs of bounded
trap depth, and in general run in time exponential in the trap depth. '
author:
- first_name: Andrey
full_name: Grinshpun, Andrey
last_name: Grinshpun
- first_name: Pakawat
full_name: Phalitnonkiat, Pakawat
last_name: Phalitnonkiat
- first_name: Sasha
full_name: Rubin, Sasha
id: 2EC51194-F248-11E8-B48F-1D18A9856A87
last_name: Rubin
- first_name: Andrei
full_name: Tarfulea, Andrei
last_name: Tarfulea
citation:
ama: Grinshpun A, Phalitnonkiat P, Rubin S, Tarfulea A. Alternating traps in Muller
and parity games. Theoretical Computer Science. 2014;521:73-91. doi:10.1016/j.tcs.2013.11.032
apa: Grinshpun, A., Phalitnonkiat, P., Rubin, S., & Tarfulea, A. (2014). Alternating
traps in Muller and parity games. Theoretical Computer Science. Elsevier.
https://doi.org/10.1016/j.tcs.2013.11.032
chicago: Grinshpun, Andrey, Pakawat Phalitnonkiat, Sasha Rubin, and Andrei Tarfulea.
“Alternating Traps in Muller and Parity Games.” Theoretical Computer Science.
Elsevier, 2014. https://doi.org/10.1016/j.tcs.2013.11.032.
ieee: A. Grinshpun, P. Phalitnonkiat, S. Rubin, and A. Tarfulea, “Alternating traps
in Muller and parity games,” Theoretical Computer Science, vol. 521. Elsevier,
pp. 73–91, 2014.
ista: Grinshpun A, Phalitnonkiat P, Rubin S, Tarfulea A. 2014. Alternating traps
in Muller and parity games. Theoretical Computer Science. 521, 73–91.
mla: Grinshpun, Andrey, et al. “Alternating Traps in Muller and Parity Games.” Theoretical
Computer Science, vol. 521, Elsevier, 2014, pp. 73–91, doi:10.1016/j.tcs.2013.11.032.
short: A. Grinshpun, P. Phalitnonkiat, S. Rubin, A. Tarfulea, Theoretical Computer
Science 521 (2014) 73–91.
date_created: 2018-12-11T11:56:33Z
date_published: 2014-02-13T00:00:00Z
date_updated: 2021-01-12T06:56:16Z
day: '13'
department:
- _id: KrCh
doi: 10.1016/j.tcs.2013.11.032
intvolume: ' 521'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1303.3777
month: '02'
oa: 1
oa_version: Submitted Version
page: 73 - 91
publication: Theoretical Computer Science
publication_identifier:
issn:
- '03043975'
publication_status: published
publisher: Elsevier
publist_id: '4703'
quality_controlled: '1'
scopus_import: 1
status: public
title: Alternating traps in Muller and parity games
type: journal_article
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 521
year: '2014'
...