---
_id: '6886'
abstract:
- lang: eng
text: 'In two-player games on graphs, the players move a token through a graph to
produce an infinite path, which determines the winner of the game. Such games
are central in formal methods since they model the interaction between a non-terminating
system and its environment. In bidding games the players bid for the right to
move the token: in each round, the players simultaneously submit bids, and the
higher bidder moves the token and pays the other player. Bidding games are known
to have a clean and elegant mathematical structure that relies on the ability
of the players to submit arbitrarily small bids. Many applications, however, require
a fixed granularity for the bids, which can represent, for example, the monetary
value expressed in cents. We study, for the first time, the combination of discrete-bidding
and infinite-duration games. Our most important result proves that these games
form a large determined subclass of concurrent games, where determinacy is the
strong property that there always exists exactly one player who can guarantee
winning the game. In particular, we show that, in contrast to non-discrete bidding
games, the mechanism with which tied bids are resolved plays an important role
in discrete-bidding games. We study several natural tie-breaking mechanisms and
show that, while some do not admit determinacy, most natural mechanisms imply
determinacy for every pair of initial budgets. '
alternative_title:
- LIPIcs
article_number: '20'
article_processing_charge: No
author:
- first_name: Milad
full_name: Aghajohari, Milad
last_name: Aghajohari
- 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
citation:
ama: 'Aghajohari M, Avni G, Henzinger TA. Determinacy in discrete-bidding infinite-duration
games. In: Vol 140. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2019. doi:10.4230/LIPICS.CONCUR.2019.20'
apa: 'Aghajohari, M., Avni, G., & Henzinger, T. A. (2019). Determinacy in discrete-bidding
infinite-duration games (Vol. 140). Presented at the CONCUR: International Conference
on Concurrency Theory, Amsterdam, Netherlands: Schloss Dagstuhl - Leibniz-Zentrum
für Informatik. https://doi.org/10.4230/LIPICS.CONCUR.2019.20'
chicago: Aghajohari, Milad, Guy Avni, and Thomas A Henzinger. “Determinacy in Discrete-Bidding
Infinite-Duration Games,” Vol. 140. Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
2019. https://doi.org/10.4230/LIPICS.CONCUR.2019.20.
ieee: 'M. Aghajohari, G. Avni, and T. A. Henzinger, “Determinacy in discrete-bidding
infinite-duration games,” presented at the CONCUR: International Conference on
Concurrency Theory, Amsterdam, Netherlands, 2019, vol. 140.'
ista: 'Aghajohari M, Avni G, Henzinger TA. 2019. Determinacy in discrete-bidding
infinite-duration games. CONCUR: International Conference on Concurrency Theory,
LIPIcs, vol. 140, 20.'
mla: Aghajohari, Milad, et al. Determinacy in Discrete-Bidding Infinite-Duration
Games. Vol. 140, 20, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019,
doi:10.4230/LIPICS.CONCUR.2019.20.
short: M. Aghajohari, G. Avni, T.A. Henzinger, in:, Schloss Dagstuhl - Leibniz-Zentrum
für Informatik, 2019.
conference:
end_date: 2019-08-30
location: Amsterdam, Netherlands
name: 'CONCUR: International Conference on Concurrency Theory'
start_date: 2019-08-27
date_created: 2019-09-18T08:06:58Z
date_published: 2019-08-01T00:00:00Z
date_updated: 2022-01-26T08:27:10Z
day: '01'
ddc:
- '000'
department:
- _id: ToHe
doi: 10.4230/LIPICS.CONCUR.2019.20
external_id:
arxiv:
- '1905.03588'
file:
- access_level: open_access
checksum: 4df6d3575c506edb17215adada03cc8e
content_type: application/pdf
creator: kschuh
date_created: 2019-09-27T12:21:38Z
date_updated: 2020-07-14T12:47:43Z
file_id: '6915'
file_name: 2019_LIPIcs_Aghajohari.pdf
file_size: 741425
relation: main_file
file_date_updated: 2020-07-14T12:47:43Z
has_accepted_license: '1'
intvolume: ' 140'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/3.0/
month: '08'
oa: 1
oa_version: Published Version
project:
- _id: 25F2ACDE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11402-N23
name: Rigorous Systems Engineering
- _id: 264B3912-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: M02369
name: Formal Methods meets Algorithmic Game Theory
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Determinacy in discrete-bidding infinite-duration games
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/3.0/legalcode
name: Creative Commons Attribution 3.0 Unported (CC BY 3.0)
short: CC BY (3.0)
type: conference
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 140
year: '2019'
...