Envy-free (EF) item allocation is a fair item allocation problem, in which the fairness criterion is envy-freeness - each agent should receive a bundle...
28 KB (3,732 words) - 07:39, 16 July 2024
approximately-fair allocations; see envy-free item allocation. Finding partial envy-free allocations that are as large as possible; see envy-free matching. Using...
11 KB (1,680 words) - 03:27, 24 August 2023
Fair item allocation is a kind of the fair division problem in which the items to divide are discrete rather than continuous. The items have to be divided...
47 KB (6,590 words) - 07:34, 21 October 2024
amount of envy is as small as possible. Ideally, from a fairness perspective, one would like to find an envy-free item allocation - an allocation in which...
9 KB (1,233 words) - 12:26, 24 August 2023
subject to envy-freeness. This problem is called the minimum-subsidy envy-free allocation. Unit-demand agents are interested in at most a single item. A special...
28 KB (3,957 words) - 12:12, 12 April 2024
Envy-free pricing is a kind of fair item allocation. There is a single seller that owns some items, and a set of buyers who are interested in these items...
20 KB (2,540 words) - 18:18, 23 August 2024
fair item allocation. It can be used to allocate several indivisible items among several people, such that the allocation is "almost" envy-free: each...
13 KB (1,846 words) - 15:37, 7 August 2024
economics and social choice theory, an envy-free matching (EFM) is a matching between people to "things", which is envy-free in the sense that no person would...
4 KB (597 words) - 12:30, 21 March 2024
Every envy-free item allocation is also proportional. The opposite implication is true when n=2, but not when n>2. Every proportional allocation satisfies...
13 KB (1,979 words) - 19:40, 25 September 2024
the allocation is both Pareto-efficient and approximately fair. There are various notions of approximate fairness. An allocation is called envy-free (EF)...
38 KB (5,471 words) - 23:29, 28 July 2024
envy-free item allocation. Given two parties and some discrete goods, it returns a partition of the goods between the two parties that is: Envy-free:...
10 KB (1,330 words) - 04:23, 23 October 2024
be envy-free. Envy-free matching - some agents may remain unallocated, as long as they do not like any of the allocated houses. Fair item allocation -...
13 KB (1,778 words) - 03:10, 6 July 2024
left unallocated (i.e., there is free disposal), but the allocation must be proportional (in addition to envy-free): each agent must get at least 1 /...
25 KB (3,593 words) - 18:10, 23 August 2024
utilities over random allocations, i.e., lotteries over objects (Note that ex-ante envy-freeness is weaker than ex-post envy-freeness, but ex-ante Pareto-efficiency...
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resource allocation, fair cake-cutting and fair item allocation. Group-envy-freeness is a very strong fairness requirement: a group-envy-free allocation is...
7 KB (1,133 words) - 11:56, 24 September 2023
The envy-graph procedure (also called the envy-cycles procedure) is a procedure for fair item allocation. It can be used by several people who want to...
17 KB (3,296 words) - 13:11, 2 April 2024
An envy-free cake-cutting is a kind of fair cake-cutting. It is a division of a heterogeneous resource ("cake") that satisfies the envy-free criterion...
43 KB (5,567 words) - 03:22, 26 October 2024
Price of fairness (redirect from Utilitarian price of envy)
gives a bound of: 9/8=1.125. For indivisible items, an assignment satisfying proportionality, envy-freeness, or equitability does not always exist (for...
13 KB (1,805 words) - 18:11, 23 August 2024
Fair cake-cutting (section Envy-freeness)
Cloutier, Nyman and Su study two-player envy-free multi-cake division. For two cakes, they prove that an EF allocation may not exist when there are 2 agents...
28 KB (4,016 words) - 07:46, 30 March 2024
Maximin share (redirect from Maximin-share item allocation)
Maximin share (MMS) is a criterion of fair item allocation. Given a set of items with different values, the 1-out-of-n maximin-share is the maximum value...
70 KB (11,200 words) - 11:45, 28 August 2024
Rental harmony (category Fair item allocation)
goal is to maximize the number of assignments subject to envy-freeness. Fair item allocation - each agent may get an arbitrary number of objects. Assignment...
40 KB (6,106 words) - 01:34, 2 September 2024
Welfare maximization (redirect from Utilitarian item allocation)
constraints on the allocation. One may want to maximize the welfare among all allocations that are fair, for example, envy-free up to one item (EF1), proportional...
21 KB (2,837 words) - 21:53, 4 May 2024
currency Controlled market Distributism Economic freedom Envy-free item allocation Fair cake-cutting Free market Informal sector Local exchange trading system...
33 KB (4,202 words) - 12:11, 21 August 2024
Suksompong, Warut; Zick, Yair (2021-08-16). "Weighted Envy-freeness in Indivisible Item Allocation". ACM Transactions on Economics and Computation. 9 (3):...
16 KB (2,059 words) - 04:24, 7 August 2024
Egalitarian item allocation, also called max-min item allocation is a fair item allocation problem, in which the fairness criterion follows the egalitarian...
21 KB (2,870 words) - 11:23, 5 June 2024
Furthermore, by Varian's theorems, a CE allocation in which all agents have the same income is also envy-free. At the competitive equilibrium, the value...
22 KB (3,841 words) - 14:48, 24 June 2024
round-robin item allocation can be used to find a 1/3-democratic 1-out-of-best-k allocation. In the context of rental harmony (envy-free division of rooms...
21 KB (3,128 words) - 04:40, 26 February 2024
procedure is a procedure for fair item assignment between two people. It provably finds a complete envy-free item assignment whenever such assignment...
8 KB (1,357 words) - 12:41, 8 July 2024
an item allocation problem with two items, which Alice values at {3, 2} and George values at {4, 1}. Consider the allocation giving the first item to...
38 KB (5,086 words) - 22:50, 3 November 2024
for fair item assignment between two people. It finds an envy-free item assignment of a subset of the items. Moreover, the resulting allocation is Pareto...
5 KB (784 words) - 00:39, 16 March 2023