Hedonic Diversity Games: A Complexity Picture with More than Two Colors
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21240%2F22%3A00358762" target="_blank" >RIV/68407700:21240/22:00358762 - isvavai.cz</a>
Result on the web
<a href="https://ojs.aaai.org/index.php/AAAI/article/view/20435" target="_blank" >https://ojs.aaai.org/index.php/AAAI/article/view/20435</a>
DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Hedonic Diversity Games: A Complexity Picture with More than Two Colors
Original language description
Hedonic diversity games are a variant of the classical Hedonic games designed to better model a variety of questions concerning diversity and fairness. Previous works mainly targeted the case with two diversity classes (represented as colors in the model) and provided a set of initial complexity-theoretic and existential results concerning Nash and Individually stable outcomes. Here, we design new algorithms accompanied with lower bounds which provide a full parameterized-complexity picture for computing Nash and Individually stable outcomes with respect to the most natural parameterizations of the problem. Crucially, our results hold for general Hedonic diversity games where the number of colors is not necessarily restricted to two, and show that---apart from two trivial cases---a necessary condition for tractability in this setting is that the number of colors is bounded by the parameter. Moreover, for the special case of two colors we resolve an open question asked in previous work~(Boehmer and Elkind, AAAI 2020).
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Proceedings of the 36th AAAI Conference on Artificial Intelligence
ISBN
978-1-57735-876-3
ISSN
2159-5399
e-ISSN
2374-3468
Number of pages
9
Pages from-to
5034-5042
Publisher name
AAAI Press
Place of publication
Menlo Park
Event location
- virtual
Event date
Feb 22, 2022
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000893636205015