On the number of ef1 allocations
WebJournal of Artificial Intelligence Research 76 (2024) 567–611 Submitted 03/2024; published 02/2024 On Fair Division under Heterogeneous Matroid Constraints Web8 de set. de 2024 · One motivation for our paper is recent work by Benabbou et al. on promoting diversity in assignment problems through efficient, EF1 allocations of items to groups in a population. Similar works study quota-based fairness/diversity [ 2 , 9 , 33 , and references therein], or by the optimization of carefully constructed functions [ 1 , 15 , 23 , …
On the number of ef1 allocations
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Web2 de jul. de 2024 · When the items are arranged in a path, we show that EF1 allocations are guaranteed to exist for arbitrary monotonic utility functions over bundles, provided that either there are at most four... Web10 de dez. de 2024 · In general finding, USW allocations among EF1 is an NP-Hard problem even when valuations are additive. In this work, we design a network for this task which …
Web30 de set. de 1977 · This is one of six related reports that describe the effects of the current Title I funds allocation formula and examine several alternatives. This particular study … Web4 de nov. de 2024 · EF1 allocations always exist and can be found in polynomial time even for general valuations [2, 14, 25]. Finding MUW allocations is also polynomial-time …
WebProportional item allocation is a fair item allocation problem, in which the fairness criterion is proportionality - each agent should receive a bundle that they value at least as much as 1/n of the entire allocation, where n is the number of agents.: 296–297 Since the items are indivisible, a proportional assignment may not exist. The simplest case is when there is a … Web(in addition to ex-ante EF), but ex-post EF1 can be recovered through a simple modi cation. 1.2 Related Work A large body of work in computer science and economics has focused on nding exactly ex-ante fair randomized allocations as well as approximately fair deterministic allocations, and we cite those works as appropriate throughout the paper.
Web29 de mar. de 2024 · However, in any EF1 allocation the last two goods cannot both be given to agent 2. Hence the social welfare of an EF1 allocation is at most (1/3 − 2 𝜖) + (1/3 + 𝜖) + 1/2 = 7/6 − 𝜖. Taking \epsilon \rightarrow 0, we find that the price of EF1 is at least \frac {4/3} {7/6} = 8/7. We now turn to the upper bound.
Webticular, EF1 allocations always exist and can be computed in polynomial time [37, 39, 20]. For the stronger notion of EFX, the picture is not that clear. It is known that such … orange county fl state attorneyWeblower bounds on the number of EF1 and EFX allocations for arbitrary valuations of the two agents. Specifically, while there can be as few as two EFX allocations regardless 1Thevaluationsareassumedtobemonotonic,i.e.,anagent’svalueforasetcannotdecreasewhenan … orange county fl spring break 2024Webwe show the existence of EF1 allocations for at most four agents, and the existence of EF2 allocations for any number of agents; our proofs involve discrete analogues of the … orange county fl substitute teacherWeb20 de jun. de 2024 · Benabbou et al. (2024) prove that, for agents whose valuations are matroid-rank functions, there always exists an EF1 allocation that maximizes social welfare. When agents have unary valuations,... iphone outlook widget not display contentWeb6 de dez. de 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 ( \textsc {EF1} ) and approximate maximin share ( \textsc {MMS} ). For both \textsc {EF1} and we show, via different techniques, that the price of fairness is O (\sqrt {n}), where n is the number of … orange county fl tax assessmentWeb28 de jun. de 2024 · In this paper, we move one step forward by showing that for agents with identical additive valuations, a 1/2-approximate EF1 allocation can be computed in … orange county fl tag and titleWeb26 de jan. de 2024 · Both EF1 and EQ1 always exists. showed that the number of EF1 allocations is always exponential in the number of items when there are 2 agents. … iphone outlook 予定表 月表示