{"type":"ScholarlyArticle","title":"The Adjusted Winner Procedure: Characterizations and Equilibria","authors":[{"name":"Haris Aziz","slug":"haris-aziz","given":"Haris","family":"Aziz","affiliation":""},{"name":"Simina Brânzei","slug":"simina-branzei","given":"Simina","family":"Brânzei","affiliation":""},{"name":"Aris Filos-Ratsikas","slug":"aris-filos-ratsikas","given":"Aris","family":"Filos-Ratsikas","affiliation":""},{"name":"Søren Kristoffer Stiil Frederiksen","slug":"s-ren-kristoffer-stiil-frederiksen","given":"Søren Kristoffer Stiil","family":"Frederiksen","affiliation":""}],"abstract":"The Adjusted Winner procedure is an important mechanism proposed by Brams and Taylor for fairly allocating goods between two agents. It has been used in practice for divorce settlements and analyzing political disputes. Assuming truthful declaration of the valuations, it computes an allocation that is envy-free, equitable and Pareto optimal. We show that Adjusted Winner admits several elegant characterizations, which further shed light on the outcomes reached with strategic agents. We find that the procedure may not admit pure Nash equilibria in either the discrete or continuous variants, but is guaranteed to have ε-Nash equilibria for each ε > 0. Moreover, under informed tie-breaking, exact pure Nash equilibria always exist, are Pareto optimal, and their social welfare is at least 3/4 of the optimal.","doi":null,"url":"https://ijcai.org/proceedings/2015/70","pdf":"https://ijcai.org/proceedings/2015/0070.pdf","markdown":"https://ijcai.org/proceedings/2015/70.md","bibtex":"https://ijcai.org/proceedings/2015/bibtex/70","volume":{"slug":"2015","title":"Proceedings of the Twenty-Fourth International Joint Conference on Artificial Intelligence","short_title":"IJCAI 2015","url":"https://ijcai.org/proceedings/2015/","year":2015,"location":"Buenos Aires, Argentina","dates":"25–31 July 2015","editors":"Qiang Yang and Michael Wooldridge","isbn":"978-1-57735-738-4","publisher":"International Joint Conferences on Artificial Intelligence","doi_prefix":""},"section":"Game Theory","track":"Main Track","number":70,"pages":{"first":454,"last":459},"keywords":[],"videos":[],"references":[],"license_note":"Copyright International Joint Conferences on Artificial Intelligence."}