Webb13 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. … http://sc.gmachineinfo.com/zthylist.aspx?id=1071447
The Price of Fairness for Indivisible Goods Theory of Computing …
Webb15 feb. 2024 · This paper investigates the efficiency of fair allocations of indivisible goods using the well-studied price of fairness concept, and provides tight or asymptotically tight bounds on the worst-case efficiency loss for allocations satisfying notions with guaranteed existence, including envy-freeness up to one good, balancedness, maximum Nash … 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 chrysler bangor maine
Settling the Price of Fairness for Indivisible Goods
Webb6 dec. 2024 · The price of a fairness notion, as defined above, is the supremum of the ratio between the maximum social welfare obtainable, and the maximum social welfare … WebbGraduate Research Assistant. University of Illinois at Urbana-Champaign. Jan 2016 - Aug 20241 year 8 months. Urbana-Champaign, Illinois Area. Assortment Optimization (Revenue Management) 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 … descargar powerdvd 2022 full