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Stable outcomes in modified fractional hedonic games
- Source :
- Scopus-Elsevier, AAMAS
- Publication Year :
- 2020
-
Abstract
- In coalition formation games self-organized coalitions are created as a result of the strategic interactions of independent agents. For each couple of agents $(i,j)$, weight $w_{i,j}=w_{j,i}$ reflects how much agents $i$ and $j$ benefit from belonging to the same coalition. We consider the modified fractional hedonic game, that is a coalition formation game in which agents' utilities are such that the total benefit of agent $i$ belonging to a coalition (given by the sum of $w_{i,j}$ over all other agents $j$ belonging to the same coalition) is averaged over all the other members of that coalition, i.e., excluding herself. Modified fractional hedonic games constitute a class of succinctly representable hedonic games. We are interested in the scenario in which agents, individually or jointly, choose to form a new coalition or to join an existing one, until a stable outcome is reached. To this aim, we consider common stability notions, leading to strong Nash stable outcomes, Nash stable outcomes or core stable outcomes: we study their existence, complexity and performance, both in the case of general weights and in the case of 0-1 weights. In particular, we completely characterize the existence of the considered stable outcomes and show many tight or asymptotically tight results on the performance of these natural stable outcomes for modified fractional hedonic games, also highlighting the differences with respect to the model of fractional hedonic games, in which the total benefit of an agent in a coalition is averaged over all members of that coalition, i.e., including herself.<br />Comment: A conference version of this paper has been accepted at AAMAS 2018: Gianpiero Monaco, Luca Moscardelli, and Yllka Velaj. 2018. Stable Outcomes in Modified Fractional Hedonic Games. In Proc. of the 17th International Conference on Autonomous Agents and Multiagent Systems (AAMAS 2018), Stockholm, Sweden, July 10-15, 2018, IFAAMAS, 9 pages
- Subjects :
- FOS: Computer and information sciences
Class (set theory)
Computer science
Hedonic games
Stability (learning theory)
0102 computer and information sciences
02 engineering and technology
01 natural sciences
Outcome (game theory)
Nash equilibrium
symbols.namesake
Price of stability
Artificial Intelligence
Computer Science - Computer Science and Game Theory
0202 electrical engineering, electronic engineering, information engineering
Price of anarchy
Coalition formation games
Join (topology)
Core (game theory)
010201 computation theory & mathematics
symbols
020201 artificial intelligence & image processing
Core
Mathematical economics
Computer Science and Game Theory (cs.GT)
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Scopus-Elsevier, AAMAS
- Accession number :
- edsair.doi.dedup.....6835c957dce4fe348f2ea8c4ecf5e794