Stars and Celebrities: A Network Creation Game
Celebrity games, a new model of network creation games is introduced. The specific features of this model are that players have different celebrity weights and that a critical distance is taken into consideration. The aim of any player is to be close (at distance less than critical) to the others, m...
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Main Authors | , , , , |
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Format | Journal Article |
Language | English |
Published |
14.05.2015
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Subjects | |
Online Access | Get full text |
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Summary: | Celebrity games, a new model of network creation games is introduced. The
specific features of this model are that players have different celebrity
weights and that a critical distance is taken into consideration. The aim of
any player is to be close (at distance less than critical) to the others,
mainly to those with high celebrity weights. The cost of each player depends on
the cost of establishing direct links to other players and on the sum of the
weights of those players at a distance greater than the critical distance. We
show that celebrity games always have pure Nash equilibria and we characterize
the family of subgames having connected Nash equilibria, the so called star
celebrity games. We provide exact bounds for the PoA of celebrity games.
The PoA can be tightened when restricted to particular classes of Nash
equilibria graphs, in particular for trees. |
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DOI: | 10.48550/arxiv.1505.03718 |