The price of fairness for indivisible goods
Webb17 feb. 2024 · Although this survey mainly focuses on indivisible items, the study of fair allocation was classically centered around allocating a divisible resource, which is also known as the cake-cutting problem [Brams and Taylor1996, Robertson and Webb1998] . Fairness is mostly captured by envy-freeness and proportionality in the literature. Webb13 juli 2024 · In this paper, we resolve the price of two well-studied fairness notions for the allocation of indivisible goods: envy-freeness up to one good (EF1), and approximate …
The price of fairness for indivisible goods
Did you know?
Webb8 sep. 2011 · In this paper we study the impact of fairness on the efficiency of allocations. We consider three different notions of fairness, namely proportionality, envy-freeness, and equitability for allocations of divisible and indivisible goods and chores. We present a series of results on the price of fairness under the three different notions that quantify … Webb4 apr. 2024 · The problem of fairly allocating a set of indivisible items is a well-known challenge in the field of (computational) social choice. In this scenario, there is a …
For any given property P of allocations and any instance, we define the price of P for that instance to be the ratio between the optimal social welfare and the maximum social welfare over allocations satisfying P: The overall price of Pis then defined as the supremum price of fairness across all instances. Similarly, the … Visa mer An allocation is said to satisfy envy-freeness up to one good (EF1) if for every pair of agents i,i^{\prime }, there exists a set A_{i^{\prime }}\subseteq M_{i^{\prime }} with A_{i^{\prime }} \leq 1 such that u_{i}\left (M_{i}\right … Visa mer An allocation is said to be balanced (BAL) if Mi − Mj ≤ 1 for any i,j. Next, we define a number of welfare maximizers. Visa mer An allocation is said to satisfy envy-freeness up to any good (EFX) if for every pair of agents i,i^{\prime } and every good g\in M_{i^{\prime }}, … Visa mer The round-robin algorithm works by arranging the agents in some arbitrary order, and letting the next agent in the order choose her favorite good from the remaining … Visa mer
Webb13 juli 2024 · A quantitative measure of this impact is the price of fairness, which measures the worst-case loss of social welfare due to fairness constraints. While initially studied … Webb27 aug. 2024 · In this paper, we conduct a study of fair allocation of indivisible goods with positive externalities. Inspired by the models in the context of network diffusion, ... The Price of Fairness for Indivisible Goods. 29 March 2024. Xiaohui Bei, Xinhang Lu, … Warut Suksompong. Maximin fairness with mixed divisible and indivisible goods.
Webb6 dec. 2024 · In this paper, we resolve the price of two well-studied fairness notions in the context of indivisible goods: envy-freeness up to one good (EF1) and approximate …
Webb13 juli 2024 · A quantitative measure of this impact is the price of fairness, which measures the worst-case loss of social welfare due to fairness constraints. While initially studied … chkd lab newport news vaWebb7 apr. 2024 · We study best-of-both-worlds guarantees for the fair division of indivisible items among agents with subadditive valuations. Our main result establishes the existence of a random allocation that ... grassmasters musicWebb5 apr. 2024 · We present two linear-programming (LP) based sampling algorithms, which achieve competitive ratios at least 0.725 for individual fairness maximization and 0.719 for group fairness maximization. We derive further bounds based on fairness parameters, demonstrating conditions under which the competitive ratio can increase to 100%. grass masters hurricane wvWebbWe investigate the efficiency of fair allocations of indivisible goods using the well-studied price of fairnessconcept. Previous work has focused on classical fairness notions such … chkd insuranceWebb13 maj 2024 · The Price of Fairness for Indivisible Goods. We investigate the efficiency of fair allocations of indivisible goods using the well-studied price of fairness concept. … grassmasters llc wilson ncWebb1 aug. 2024 · On the price of fairness, Bei et al. (2024) study allocating indivisible goods and focuses on the notions for which corresponding allocations are guaranteed to exist, … chkd landstown mental healthWebbAbstractWe investigate the efficiency of fair allocations of indivisible goods using the well-studied price of fairness concept. Previous work has focused on classical fairness … grassmasters lawn service