scholarly journals On the Price of Stability for Undirected Network Design

2010 ◽  
pp. 86-97 ◽  
Author(s):  
George Christodoulou ◽  
Christine Chung ◽  
Katrina Ligett ◽  
Evangelia Pyrga ◽  
Rob van Stee
Keyword(s):  
Network Design ◽  
Price Of Stability ◽  
Undirected Network

BOUNDS ON THE PRICE OF STABILITY OF UNDIRECTED NETWORK DESIGN GAMES WITH THREE PLAYERS

2011 ◽  
Vol 12 (01n02) ◽  
pp. 1-17 ◽  
Author(s):  
VITTORIO BILÒ ◽  
ROBERTA BOVE
Keyword(s):  
Lower Bound ◽  
Network Design ◽  
Lower Bounds ◽  
Upper Bound ◽  
Cost Allocation ◽  
Upper And Lower Bounds ◽  
Price Of Stability ◽  
Undirected Network ◽  
Basic Case

After almost seven years from its definition,2 the price of stability of undirected network design games with fair cost allocation remains to be elusive. Its exact characterization has been achieved only for the basic case of two players2,7 and, as soon as the number of players increases, the gap between the known upper and lower bounds becomes super-constant, even in the special variants of multicast and broadcast games. Motivated by the intrinsic difficulties that seem to characterize this problem, we analyze the already challenging case of three players and provide either new or improved bounds. For broadcast games, we prove an upper bound of 1.485 which exactly matches a lower bound given in Ref. 4; for multicast games, we show new upper and lower bounds which confine the price of stability in the interval [1.524; 1.532]; while, for the general case, we give an improved upper bound of 1.634. The techniques exploited in this paper are a refinement of those used in Ref. 7 and can be easily adapted to deal with all the cases involving a small number of players.

scholarly journals Improved Lower Bounds on the Price of Stability of Undirected Network Design Games

2010 ◽  
pp. 90-101 ◽  
Author(s):  
Vittorio Bilò ◽  
Ioannis Caragiannis ◽  
Angelo Fanelli ◽  
Gianpiero Monaco
Keyword(s):  
Network Design ◽  
Lower Bounds ◽  
Price Of Stability ◽  
Undirected Network

scholarly journals Improved Lower Bounds on the Price of Stability of Undirected Network Design Games

2012 ◽  
Vol 52 (4) ◽  
pp. 668-686 ◽  
Author(s):  
Vittorio Bilò ◽  
Ioannis Caragiannis ◽  
Angelo Fanelli ◽  
Gianpiero Monaco
Keyword(s):  
Network Design ◽  
Lower Bounds ◽  
Price Of Stability ◽  
Undirected Network

scholarly journals The Price of Stability for Network Design with Fair Cost Allocation

2008 ◽  
Vol 38 (4) ◽  
pp. 1602-1623 ◽  
Author(s):  
Elliot Anshelevich ◽  
Anirban Dasgupta ◽  
Jon Kleinberg ◽  
Éva Tardos ◽  
Tom Wexler ◽  
...  
Keyword(s):  
Network Design ◽  
Cost Allocation ◽  
Price Of Stability

Price of Stability in Survivable Network Design

2011 ◽  
Vol 49 (1) ◽  
pp. 98-138 ◽  
Author(s):  
Elliot Anshelevich ◽  
Bugra Caskurlu
Keyword(s):  
Network Design ◽  
Price Of Stability ◽  
Survivable Network Design ◽  
Survivable Network

scholarly journals Improving the Hk-bound on the price of stability in undirected Shapley network design games

2015 ◽  
Vol 562 ◽  
pp. 557-564 ◽  
Author(s):  
Yann Disser ◽  
Andreas Emil Feldmann ◽  
Max Klimm ◽  
Matúš Mihalák
Keyword(s):  
Network Design ◽  
Price Of Stability

scholarly journals The Price of Stability for Network Design with Fair Cost Allocation

2004 ◽  
Author(s):  
E. Anshelevich ◽  
A. Dasgupta ◽  
J. Kleinberg ◽  
E. Tardos ◽  
T. Wexler ◽  
...  
Keyword(s):  
Network Design ◽  
Cost Allocation ◽  
Price Of Stability

The price of stability for undirected broadcast network design with fair cost allocation is constant

2020 ◽  
Vol 123 ◽  
pp. 359-376 ◽  
Author(s):  
Vittorio Bilò ◽  
Michele Flammini ◽  
Luca Moscardelli
Keyword(s):  
Network Design ◽  
Cost Allocation ◽  
Price Of Stability ◽  
Broadcast Network
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