A note on maximizing the minimum voter satisfaction on spanning trees
A fair spanning tree of a graph maximizes the minimum satisfaction among individuals given their preferences over the edges of the graph. In this note we answer an open question about the computational complexity of determining fair spanning trees raised in Darmann etÂ al. (2009). It is shown that the maximin voter satisfaction problem under choose-t elections is -complete for each fixed t>=2.
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- Brams, Steven J., 1994.
Handbook of Game Theory with Economic Applications,
in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 30, pages 1055-1089
- Bhaskar Dutta & Anirban Kar, 2002.
"Cost monotonicity, consistency and minimum cost spanning tree games,"
Indian Statistical Institute, Planning Unit, New Delhi Discussion Papers
02-04, Indian Statistical Institute, New Delhi, India.
- Dutta, Bhaskar & Kar, Anirban, 2004. "Cost monotonicity, consistency and minimum cost spanning tree games," Games and Economic Behavior, Elsevier, vol. 48(2), pages 223-248, August.
- Dutta, Bhaskar & Kar, Anirban, 2002. "Cost Monotonicity, Consistency And Minimum Cost Spanning Tree Games," The Warwick Economics Research Paper Series (TWERPS) 629, University of Warwick, Department of Economics.
- Darmann, Andreas & Klamler, Christian & Pferschy, Ulrich, 2009. "Maximizing the minimum voter satisfaction on spanning trees," Mathematical Social Sciences, Elsevier, vol. 58(2), pages 238-250, September.
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