TY - GEN

T1 - The stackelberg minimum spanning tree game on planar and bounded-treewidth graphs

AU - Cardinal, Jean

AU - Demaine, Erik D.

AU - Fiorini, Samuel

AU - Joret, Gwenaël

AU - Newman, Ilan

AU - Weimann, Oren

PY - 2009

Y1 - 2009

N2 - The Stackelberg Minimum Spanning Tree Game is a two-level combinatorial pricing problem introduced at WADS'07. The game is played on a graph, whose edges are colored either red or blue, and where the red edges have a given fixed cost. The first player chooses an assignment of prices to the blue edges, and the second player then buys the cheapest spanning tree, using any combination of red and blue edges. The goal of the first player is to maximize the total price of purchased blue edges. We study this problem in the cases of planar and bounded-treewidth graphs. We show that the problem is NP-hard on planar graphs but can be solved in polynomial time on graphs of bounded treewidth.

AB - The Stackelberg Minimum Spanning Tree Game is a two-level combinatorial pricing problem introduced at WADS'07. The game is played on a graph, whose edges are colored either red or blue, and where the red edges have a given fixed cost. The first player chooses an assignment of prices to the blue edges, and the second player then buys the cheapest spanning tree, using any combination of red and blue edges. The goal of the first player is to maximize the total price of purchased blue edges. We study this problem in the cases of planar and bounded-treewidth graphs. We show that the problem is NP-hard on planar graphs but can be solved in polynomial time on graphs of bounded treewidth.

UR - http://www.scopus.com/inward/record.url?scp=76649103094&partnerID=8YFLogxK

U2 - 10.1007/978-3-642-10841-9_13

DO - 10.1007/978-3-642-10841-9_13

M3 - Conference contribution

AN - SCOPUS:76649103094

SN - 3642108407

SN - 9783642108402

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 125

EP - 136

BT - Internet and Network Economics - 5th International Workshop, WINE 2009, Proceedings

T2 - 5th International Workshop on Internet and Network Economics, WINE 2009

Y2 - 14 December 2009 through 18 December 2009

ER -