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Allocation of indivisible items with individual preference graphsChiarelli, Nina ...This paper studies the allocation of indivisible items to agents, when each agent’s preferences are expressed by means of a directed acyclic graph. The vertices of each preference graph represent the ... subset of items approved of by the respective agent. An arc (a,b) in such a graph means that the respective agent prefers item a over item b. We introduce a new measure of dissatisfaction of an agent by counting the number of non-assigned items which are approved of by the agent and for which no more preferred item is allocated to the agent. Considering two problem variants, we seek an allocation of the items to the agents in a way that minimizes (i) the total dissatisfaction over all agents or (ii) the maximum dissatisfaction among the agents. For both optimization problems we study the status of computational complexity and obtain NP-hardness results as well as polynomial algorithms with respect to natural underlying graph structures, such as stars, trees, paths, and matchings. We also analyze the parameterized complexity of the two problems with respect to various parameters related to the number of agents, the dissatisfaction threshold, the vertex degrees of the preference graphs, and the treewidth.Source: Discrete applied mathematics. - ISSN 0166-218X (Vol. 334, 2023, str. 45-62)Type of material - article, component part ; adult, seriousPublish date - 2023Language - englishCOBISS.SI-ID - 149106947
Author
Chiarelli, Nina |
Dallard, Clément Jean |
Darmann, Andreas |
Lendl, Stefan |
Milanič, Martin, 1980- |
Muršič, Peter |
Pferschy, Ulrich |
Pivač, Nevena
Topics
fair division |
partial order |
preference graph |
dissatisfaction |
pravična delitev |
delna urejenost |
graf preferenc |
nezadovoljstvo
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DRS, in which the journal is indexed
Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Chiarelli, Nina | 35452 |
Dallard, Clément Jean | 53750 |
Darmann, Andreas | |
Lendl, Stefan | |
Milanič, Martin, 1980- | 30211 |
Muršič, Peter | 53028 |
Pferschy, Ulrich | |
Pivač, Nevena | 50673 |
Source: Personal bibliographies
and: SICRIS
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