Work

Mixed Fair Division: A Survey

Year: 2024

Type: article

Abstract: Fair division considers the allocation of scarce resources among agents in such a way that every agent gets a fair share. It is a fundamental problem in society and has received significant attention and rapid developments from the game theory and artificial intelligence communities in recent years. The majority of the fair division literature can be divided along at least two orthogonal directions: goods versus chores, and divisible versus indivisible resources. In this survey, besides describing the state of the art, we outline a number of interesting open questions and future directions in three mixed fair division settings: (i) indivisible goods and chores, (ii) divisible and indivisible goods (mixed goods), and (iii) indivisible goods with subsidy which can be viewed like a divisible good.

Source: Journal of Artificial Intelligence Research

DOI: 10.1613/jair.1.15800

Authors: Shengxin Liu, Xinhang Lu, Mashbat Suzuki, Toby Walsh

Institutions: Harbin Institute of Technology, UNSW Sydney

Language: English

Topic: Game Theory and Voting Systems

Subfield: Economics and Econometrics

Field: Economics, Econometrics and Finance

Domain: Social Sciences

Open Access status: diamond

Funders: National Natural Science Foundation of China, Basic and Applied Basic Research Foundation of Guangdong Province

Award: G215862614