{"type":"ScholarlyArticle","title":"Distance Preservation Games","authors":[{"name":"Haris Aziz","slug":"haris-aziz","given":"Haris","family":"Aziz","affiliation":""},{"name":"Hau Chan","slug":"hau-chan","given":"Hau","family":"Chan","affiliation":""},{"name":"Patrick Lederer","slug":"patrick-lederer","given":"Patrick","family":"Lederer","affiliation":""},{"name":"Shivika Narang","slug":"shivika-narang","given":"Shivika","family":"Narang","affiliation":""},{"name":"Toby Walsh","slug":"toby-walsh","given":"Toby","family":"Walsh","affiliation":""}],"abstract":"We introduce and analyze distance preservation games (DPGs). In DPGs, agents express ideal distances to other agents and need to choose locations in the unit interval while preserving their ideal distances as closely as possible. We analyze the existence and computation of location profiles that are jump stable (i.e., no agent can benefit by moving to another location) or welfare optimal for DPGs, respectively. Specifically, we prove that there are DPGs without jump stable location profiles and identify important cases where such outcomes always exist and can be computed efficiently. Similarly, we show that finding welfare optimal location profiles is NP-complete and present approximation algorithms for finding solutions with social welfare close to optimal. Finally, we prove that DPGs have a price of anarchy of at most 2.","doi":"10.24963/ijcai.2025/415","url":"https://ijcai.org/proceedings/2025/415","pdf":"https://ijcai.org/proceedings/2025/0415.pdf","markdown":"https://ijcai.org/proceedings/2025/415.md","bibtex":"https://ijcai.org/proceedings/2025/bibtex/415","volume":{"slug":"2025","title":"Proceedings of the Thirty-Fourth International Joint Conference on Artificial Intelligence","short_title":"IJCAI 2025","url":"https://ijcai.org/proceedings/2025/","year":2025,"location":"Montreal, Canada","dates":"16-22 August 2025","editors":"James Kwok","isbn":"978-1-956792-06-5","publisher":"International Joint Conferences on Artificial Intelligence Organization","doi_prefix":"10.24963/ijcai.2025"},"section":"Game Theory and Economic Paradigms","track":"Main Track","number":415,"pages":{"first":3735,"last":3743},"keywords":["Game Theory and Economic Paradigms: GTEP: Computational social choice","Game Theory and Economic Paradigms: GTEP: Noncooperative games","Game Theory and Economic Paradigms: GTEP: Cooperative games"],"videos":[],"references":[],"license_note":"Copyright International Joint Conferences on Artificial Intelligence."}