The price of fairness for indivisible goods
http://sc.gmachineinfo.com/zthylist.aspx?id=1071447 Webb1 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, …
The price of fairness for indivisible goods
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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 Webb3 maj 2024 · The Price of Fairness for Indivisible Goods. In Proceedings of the Twenty -Eighth International Joint Conference on Artificial Intelligence. International Joint Conferences on Artificial Intelligence Organization, Macao, China, 81--87. Google Scholar Cross Ref; Dimitris Bertsimas, Vivek F. Farias, and Nikolaos Trichakis. 2011. The Price of ...
WebbWe study the problem of fair allocation for indivisible goods. We use the maxmin share paradigm introduced by Budish~\citeBudish:first as a measure for fairness. \procacciafirst ~\citeProcaccia:first were the first to investigate this fundamental problem in the … WebbThe price of fairness for indivisible goods Pages 81–87 PreviousChapterNextChapter ABSTRACT We 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 as envy-freeness, proportionality, and equitability.
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 fundamental incompatibility between notions of fairness (such as envy-freeness and proportionality) and economic efficiency (such as Pareto-optimality). However, in the … Webb22 juni 2014 · Incorporating fairness criteria in optimization problems comes at a certain cost, which is measured by the so-called price of fairness. Here we consider the …
WebbWe 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 …
Webb17 feb. 2024 · At a high level, the problem is to assign a set of items that are either goods or chores to a set of agents so that every agent is happy with what she obtains. In this survey, we focus on indivisible items, for which exact fairness as measured by envy-freeness and proportionality cannot be guaranteed. One main theme in the recent … foam cannon for carsWebbWe investigate the query complexity of the fair allocation of indivisible goods. For two agents with arbitrary monotonic utilities, ... X. Bei, X. Lu, P. Manurangsi, and W. Suksompong, The price of fairness for indivisible goods, in Proceedings of the 28th International Joint Conference on Artificial Intelligence (IJCAI), 2024, pp. 81--87. foam cannon for rvWebb12 aug. 2009 · 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... foam cannon for houseWebb13 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 … foam cannon engine bayWebbAbstractWe investigate the efficiency of fair allocations of indivisible goods using the well-studied price of fairness concept. Previous work has focused on classical fairness … foam cannon for farm equipmentWebbcase bounds for indivisible goods require a large number of goods. As a result, Kurz investigated the dependence of the price of fairness on both the number of agents and … foam cannon boat washWebbprice of fairness, like the price of fairness, is of linear order—hence, these two notions provide a better worst-case guarantee than the round-robin algorithm. However, while … foam cannon for water hose walmart