---
_id: '5788'
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 or payoff of the game. Such
games are central in formal verification since they model the interaction between
a non-terminating system and its environment. We study bidding games in which
the players bid for the right to move the token. Two bidding rules have been defined.
In Richman bidding, in each round, the players simultaneously submit bids, and
the higher bidder moves the token and pays the other player. Poorman bidding is
similar except that the winner of the bidding pays the “bank” rather than the
other player. While poorman reachability games have been studied before, we present,
for the first time, results on infinite-duration poorman games. A central quantity
in these games is the ratio between the two players’ initial budgets. The questions
we study concern a necessary and sufficient ratio with which a player can achieve
a goal. For reachability objectives, such threshold ratios are known to exist
for both bidding rules. We show that the properties of poorman reachability games
extend to complex qualitative objectives such as parity, similarly to the Richman
case. Our most interesting results concern quantitative poorman games, namely
poorman mean-payoff games, where we construct optimal strategies depending on
the initial ratio, by showing a connection with random-turn based games. The connection
in itself is interesting, because it does not hold for reachability poorman games.
We also solve the complexity problems that arise in poorman bidding games.
alternative_title:
- LNCS
article_processing_charge: No
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: Rasmus
full_name: Ibsen-Jensen, Rasmus
id: 3B699956-F248-11E8-B48F-1D18A9856A87
last_name: Ibsen-Jensen
orcid: 0000-0003-4783-0389
citation:
ama: 'Avni G, Henzinger TA, Ibsen-Jensen R. Infinite-duration poorman-bidding games.
In: Vol 11316. Springer; 2018:21-36. doi:10.1007/978-3-030-04612-5_2'
apa: 'Avni, G., Henzinger, T. A., & Ibsen-Jensen, R. (2018). Infinite-duration
poorman-bidding games (Vol. 11316, pp. 21–36). Presented at the 14th International
Conference on Web and Internet Economics, WINE, Oxford, UK: Springer. https://doi.org/10.1007/978-3-030-04612-5_2'
chicago: Avni, Guy, Thomas A Henzinger, and Rasmus Ibsen-Jensen. “Infinite-Duration
Poorman-Bidding Games,” 11316:21–36. Springer, 2018. https://doi.org/10.1007/978-3-030-04612-5_2.
ieee: G. Avni, T. A. Henzinger, and R. Ibsen-Jensen, “Infinite-duration poorman-bidding
games,” presented at the 14th International Conference on Web and Internet Economics,
WINE, Oxford, UK, 2018, vol. 11316, pp. 21–36.
ista: Avni G, Henzinger TA, Ibsen-Jensen R. 2018. Infinite-duration poorman-bidding
games. 14th International Conference on Web and Internet Economics, WINE, LNCS,
vol. 11316, 21–36.
mla: Avni, Guy, et al. Infinite-Duration Poorman-Bidding Games. Vol. 11316,
Springer, 2018, pp. 21–36, doi:10.1007/978-3-030-04612-5_2.
short: G. Avni, T.A. Henzinger, R. Ibsen-Jensen, in:, Springer, 2018, pp. 21–36.
conference:
end_date: 2018-12-17
location: Oxford, UK
name: 14th International Conference on Web and Internet Economics, WINE
start_date: 2018-12-15
date_created: 2018-12-30T22:59:14Z
date_published: 2018-11-21T00:00:00Z
date_updated: 2023-09-12T07:44:01Z
day: '21'
department:
- _id: ToHe
doi: 10.1007/978-3-030-04612-5_2
external_id:
arxiv:
- '1804.04372'
isi:
- '000865933000002'
intvolume: ' 11316'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1804.04372
month: '11'
oa: 1
oa_version: Preprint
page: 21-36
project:
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z211
name: The Wittgenstein Prize
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_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_identifier:
isbn:
- '9783030046118'
issn:
- '03029743'
publisher: Springer
quality_controlled: '1'
scopus_import: '1'
status: public
title: Infinite-duration poorman-bidding games
type: conference
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 11316
year: '2018'
...