Parameterized computational complexity of Dodgson and Young elections

We show that the two NP-complete problems of Dodgson Score and Young Score have differing computational complexities when the winner is close to being a Condorcet winner. On the one hand, we present an efficient fixed-parameter algorithm for determining a Condorcet winner in Dodgson elections by a m...

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Published in:	Information and computation Vol. 208; no. 2; pp. 165 - 177
Main Authors:	Betzler, Nadja, Guo, Jiong, Niedermeier, Rolf
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier Inc 01.02.2010 Elsevier
Subjects:	Algorithmics. Computability. Computer arithmetics Applied sciences Computational social choice Computer science; control theory; systems Exact sciences and technology Fixed-parameter tractability Miscellaneous Theoretical computing Voting systems W-completeness Winner determination Winner determination Computational social choice W-completeness Fixed-parameter tractability Voting systems Costs Computer theory Algorithm Computational complexity Switching Voting Completeness NP complete problem
ISSN:	0890-5401, 1090-2651
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Abstract	We show that the two NP-complete problems of Dodgson Score and Young Score have differing computational complexities when the winner is close to being a Condorcet winner. On the one hand, we present an efficient fixed-parameter algorithm for determining a Condorcet winner in Dodgson elections by a minimum number of switches in the votes. On the other hand, we prove that the corresponding problem for Young elections, where one has to delete votes instead of performing switches, is W[2]-complete. In addition, we study Dodgson elections that allow ties between the candidates and give fixed-parameter tractability as well as W[2]-completeness results depending on the cost model for switching ties.
AbstractList	We show that the two NP-complete problems of Dodgson Score and Young Score have differing computational complexities when the winner is close to being a Condorcet winner. On the one hand, we present an efficient fixed-parameter algorithm for determining a Condorcet winner in Dodgson elections by a minimum number of switches in the votes. On the other hand, we prove that the corresponding problem for Young elections, where one has to delete votes instead of performing switches, is W[2]-complete. In addition, we study Dodgson elections that allow ties between the candidates and give fixed-parameter tractability as well as W[2]-completeness results depending on the cost model for switching ties.
Author	Niedermeier, Rolf Guo, Jiong Betzler, Nadja
Author_xml	– sequence: 1 givenname: Nadja surname: Betzler fullname: Betzler, Nadja email: nadja.betzler@uni-jena.de – sequence: 2 givenname: Jiong surname: Guo fullname: Guo, Jiong email: jiong.guo@uni-jena.de – sequence: 3 givenname: Rolf surname: Niedermeier fullname: Niedermeier, Rolf email: rolf.niedermeier@uni-jena.de
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Keywords	Winner determination Computational social choice W-completeness Fixed-parameter tractability Voting systems Costs Computer theory Algorithm Computational complexity Switching Voting Completeness NP complete problem
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References	M.R. Fellows, Personal communication, October, 2007. Hemaspaandra, Hemaspaandra (bib15) 2007; 73 Rothe, Spakowski, Vogel (bib25) 2003; 36 Downey, Fellows (bib9) 1998; 209 Conitzer, Sandholm, Lang (bib7) 2007; 54 Downey, Fellows (bib10) 1999 C. Dodgson, A Method of Taking Votes on More than Two Issues, Pamphlet printed by the Clarendon Press, Oxford, and headed “not yet published”, 1876. Niedermeier (bib24) 2006 N. Betzler, M.R. Fellows, J. Guo, R. Niedermeier, F.A. Rosamond, Fixed-parameter algorithms for Kemeny rankings, Theoretical Computer Science 10, 4554-4570. I. Caragiannis, J.A. Covey, M. Feldmann, C.M. Homan, C. Kaklamanis, N. Kramikolas, A.D. Procaccia, J.S. Rosenschein, On the approximability of Dodgson and Young elections, in: Proceedings of the 20th SODA, SIAM, 2009, pp. 1058–1067. Y. Chevaleyre, U. Endriss, J. Lang, N. Maudet. A short introduction to computational social choice (invited paper), in: Proceedings of the 33rd SOFSEM, LNCS, vol. 4362, Springer, 2007, pp. 51–69. Bartholdi, Tovey, Trick (bib1) 1989; 6 M. Condorcet, Essai sur l’application de l’analyse á la probabilité des décisions rendues à la pluraliste des voix, Facsimile reprint of the original published in Paris, 1785, by the Imprimerie Royale, 1972. McLean, Urken (bib22) 1995 Hemaspaandra, Hemaspaandra, Rothe (bib16) 1997; 44 Hemaspaandra, Hemaspaandra, Rothe (bib17) 2007; 171 Homan, Hemaspaandra (bib18) 2009; 15 J.C. McCabe-Dansted, Approximability and Computational Feasibility of Dodgson’s Rule, Master’s thesis, University of Auckland, 2006. Young (bib26) 1977; 16 Christian, Fellows, Rosamond, Slinko (bib5) 2007; 11 Guo, Niedermeier (bib14) 2007; 38 Meir, Procaccia, Rosenschein, Zohar (bib23) 2008; 33 Faliszewski, Hemaspaandra, Hemaspaandra, Rothe (bib11) 2008 Zuckerman, Procaccia, Rosenschein, problem (bib27) 2009; 173 Lenstra (bib19) 1983; 8 McCabe-Dansted, Pritchard, Slinko (bib21) 2008; 31 Flum, Grohe (bib13) 2006 Niedermeier (10.1016/j.ic.2009.10.001_bib24) 2006 Christian (10.1016/j.ic.2009.10.001_bib5) 2007; 11 Flum (10.1016/j.ic.2009.10.001_bib13) 2006 McCabe-Dansted (10.1016/j.ic.2009.10.001_bib21) 2008; 31 10.1016/j.ic.2009.10.001_bib12 Guo (10.1016/j.ic.2009.10.001_bib14) 2007; 38 Lenstra (10.1016/j.ic.2009.10.001_bib19) 1983; 8 Bartholdi (10.1016/j.ic.2009.10.001_bib1) 1989; 6 McLean (10.1016/j.ic.2009.10.001_bib22) 1995 Faliszewski (10.1016/j.ic.2009.10.001_bib11) 2008 Young (10.1016/j.ic.2009.10.001_bib26) 1977; 16 Conitzer (10.1016/j.ic.2009.10.001_bib7) 2007; 54 Hemaspaandra (10.1016/j.ic.2009.10.001_bib16) 1997; 44 Rothe (10.1016/j.ic.2009.10.001_bib25) 2003; 36 Downey (10.1016/j.ic.2009.10.001_bib10) 1999 Homan (10.1016/j.ic.2009.10.001_bib18) 2009; 15 Zuckerman (10.1016/j.ic.2009.10.001_bib27) 2009; 173 Hemaspaandra (10.1016/j.ic.2009.10.001_bib15) 2007; 73 10.1016/j.ic.2009.10.001_bib2 Hemaspaandra (10.1016/j.ic.2009.10.001_bib17) 2007; 171 10.1016/j.ic.2009.10.001_bib4 10.1016/j.ic.2009.10.001_bib20 10.1016/j.ic.2009.10.001_bib3 10.1016/j.ic.2009.10.001_bib6 10.1016/j.ic.2009.10.001_bib8 Downey (10.1016/j.ic.2009.10.001_bib9) 1998; 209 Meir (10.1016/j.ic.2009.10.001_bib23) 2008; 33
References_xml	– volume: 31 start-page: 311 year: 2008 end-page: 330 ident: bib21 article-title: Approximability of Dodgson’s rule publication-title: Social Choice and Welfare – reference: C. Dodgson, A Method of Taking Votes on More than Two Issues, Pamphlet printed by the Clarendon Press, Oxford, and headed “not yet published”, 1876. – start-page: 375 year: 2008 end-page: 406 ident: bib11 article-title: A richer understanding of the complexity of election systems publication-title: Fundamental Problems in Computing: Essays in Honor of Professor Daniel J. Rosenkrantz – volume: 38 start-page: 31 year: 2007 end-page: 45 ident: bib14 article-title: Invitation to data reduction and problem kernelization publication-title: ACM SIGACT News – volume: 173 start-page: 392 year: 2009 end-page: 412 ident: bib27 publication-title: Artificial Intelligence – year: 1995 ident: bib22 article-title: Classics of Social Choice – volume: 209 start-page: 123 year: 1998 end-page: 140 ident: bib9 article-title: Threshold dominating sets and an improved version of W[2] publication-title: Theoretical Computer Science – volume: 16 start-page: 35 year: 1977 end-page: 353 ident: bib26 article-title: Extending Condorcet’s rule publication-title: Journal of Economic Theory – volume: 36 start-page: 375 year: 2003 end-page: 386 ident: bib25 article-title: Exact complexity of the winner problem for Young elections publication-title: Theory of Computing Systems – year: 2006 ident: bib24 article-title: Invitation to Fixed-Parameter Algorithms – reference: Y. Chevaleyre, U. Endriss, J. Lang, N. Maudet. A short introduction to computational social choice (invited paper), in: Proceedings of the 33rd SOFSEM, LNCS, vol. 4362, Springer, 2007, pp. 51–69. – reference: M.R. Fellows, Personal communication, October, 2007. – reference: I. Caragiannis, J.A. Covey, M. Feldmann, C.M. Homan, C. Kaklamanis, N. Kramikolas, A.D. Procaccia, J.S. Rosenschein, On the approximability of Dodgson and Young elections, in: Proceedings of the 20th SODA, SIAM, 2009, pp. 1058–1067. – year: 1999 ident: bib10 article-title: Parameterized Complexity – reference: M. Condorcet, Essai sur l’application de l’analyse á la probabilité des décisions rendues à la pluraliste des voix, Facsimile reprint of the original published in Paris, 1785, by the Imprimerie Royale, 1972. – volume: 73 start-page: 73 year: 2007 end-page: 83 ident: bib15 article-title: Dichotomy for voting systems publication-title: Journal of Computer and System Sciences – reference: N. Betzler, M.R. Fellows, J. Guo, R. Niedermeier, F.A. Rosamond, Fixed-parameter algorithms for Kemeny rankings, Theoretical Computer Science 10, 4554-4570. – volume: 8 start-page: 538 year: 1983 end-page: 548 ident: bib19 article-title: Integer programming with a fixed number of variables publication-title: Mathematics of Operations Research – reference: J.C. McCabe-Dansted, Approximability and Computational Feasibility of Dodgson’s Rule, Master’s thesis, University of Auckland, 2006. – year: 2006 ident: bib13 article-title: Parameterized Complexity Theory – volume: 33 start-page: 49 year: 2008 end-page: 178 ident: bib23 article-title: The complexity of strategic behavior in multi-winner elections publication-title: Journal of Artificial Intelligence Research – volume: 11 start-page: 217 year: 2007 end-page: 224 ident: bib5 article-title: On complexity of lobbying in multiple referenda publication-title: Review of Economic Design – volume: 6 start-page: 157 year: 1989 end-page: 165 ident: bib1 article-title: Voting schemes for which it can be difficult to tell who won the election publication-title: Social Choice and Welfare – volume: 15 start-page: 403 year: 2009 end-page: 423 ident: bib18 article-title: Guarantees for the success frequency of an algorithm for finding Dodgson-election winners publication-title: Journal of Heuristics – volume: 44 start-page: 806 year: 1997 end-page: 825 ident: bib16 article-title: Exact analysis of Dodgson elections: Lewis Caroll’s 1876 voting system is complete for parallel access to NP publication-title: Journal of the ACM – volume: 54 start-page: 1 year: 2007 end-page: 33 ident: bib7 article-title: When are elections with few candidates hard to manipulate? publication-title: Journal of the ACM – volume: 171 start-page: 255 year: 2007 end-page: 285 ident: bib17 article-title: Anyone but him: the complexity of precluding an alternative publication-title: Artificial Intelligence – start-page: 375 year: 2008 ident: 10.1016/j.ic.2009.10.001_bib11 article-title: A richer understanding of the complexity of election systems – volume: 38 start-page: 31 issue: 1 year: 2007 ident: 10.1016/j.ic.2009.10.001_bib14 article-title: Invitation to data reduction and problem kernelization publication-title: ACM SIGACT News doi: 10.1145/1233481.1233493 – volume: 44 start-page: 806 issue: 6 year: 1997 ident: 10.1016/j.ic.2009.10.001_bib16 article-title: Exact analysis of Dodgson elections: Lewis Caroll’s 1876 voting system is complete for parallel access to NP publication-title: Journal of the ACM doi: 10.1145/268999.269002 – volume: 11 start-page: 217 issue: 3 year: 2007 ident: 10.1016/j.ic.2009.10.001_bib5 article-title: On complexity of lobbying in multiple referenda publication-title: Review of Economic Design doi: 10.1007/s10058-007-0028-1 – year: 2006 ident: 10.1016/j.ic.2009.10.001_bib13 – volume: 31 start-page: 311 issue: 2 year: 2008 ident: 10.1016/j.ic.2009.10.001_bib21 article-title: Approximability of Dodgson’s rule publication-title: Social Choice and Welfare doi: 10.1007/s00355-007-0282-8 – year: 1995 ident: 10.1016/j.ic.2009.10.001_bib22 – volume: 36 start-page: 375 year: 2003 ident: 10.1016/j.ic.2009.10.001_bib25 article-title: Exact complexity of the winner problem for Young elections publication-title: Theory of Computing Systems doi: 10.1007/s00224-002-1093-z – volume: 173 start-page: 392 issue: 2 year: 2009 ident: 10.1016/j.ic.2009.10.001_bib27 publication-title: Artificial Intelligence doi: 10.1016/j.artint.2008.11.005 – ident: 10.1016/j.ic.2009.10.001_bib3 doi: 10.1137/1.9781611973068.115 – year: 1999 ident: 10.1016/j.ic.2009.10.001_bib10 – volume: 54 start-page: 1 issue: 3 year: 2007 ident: 10.1016/j.ic.2009.10.001_bib7 article-title: When are elections with few candidates hard to manipulate? publication-title: Journal of the ACM doi: 10.1145/1236457.1236461 – volume: 33 start-page: 49 year: 2008 ident: 10.1016/j.ic.2009.10.001_bib23 article-title: The complexity of strategic behavior in multi-winner elections publication-title: Journal of Artificial Intelligence Research doi: 10.1613/jair.2566 – ident: 10.1016/j.ic.2009.10.001_bib8 – volume: 171 start-page: 255 issue: 5–6 year: 2007 ident: 10.1016/j.ic.2009.10.001_bib17 article-title: Anyone but him: the complexity of precluding an alternative publication-title: Artificial Intelligence doi: 10.1016/j.artint.2007.01.005 – volume: 15 start-page: 403 issue: 4 year: 2009 ident: 10.1016/j.ic.2009.10.001_bib18 article-title: Guarantees for the success frequency of an algorithm for finding Dodgson-election winners publication-title: Journal of Heuristics doi: 10.1007/s10732-007-9068-5 – volume: 16 start-page: 35 year: 1977 ident: 10.1016/j.ic.2009.10.001_bib26 article-title: Extending Condorcet’s rule publication-title: Journal of Economic Theory doi: 10.1016/0022-0531(77)90012-6 – year: 2006 ident: 10.1016/j.ic.2009.10.001_bib24 – volume: 8 start-page: 538 year: 1983 ident: 10.1016/j.ic.2009.10.001_bib19 article-title: Integer programming with a fixed number of variables publication-title: Mathematics of Operations Research doi: 10.1287/moor.8.4.538 – ident: 10.1016/j.ic.2009.10.001_bib20 – volume: 73 start-page: 73 issue: 1 year: 2007 ident: 10.1016/j.ic.2009.10.001_bib15 article-title: Dichotomy for voting systems publication-title: Journal of Computer and System Sciences doi: 10.1016/j.jcss.2006.09.002 – volume: 6 start-page: 157 year: 1989 ident: 10.1016/j.ic.2009.10.001_bib1 article-title: Voting schemes for which it can be difficult to tell who won the election publication-title: Social Choice and Welfare doi: 10.1007/BF00303169 – ident: 10.1016/j.ic.2009.10.001_bib4 – ident: 10.1016/j.ic.2009.10.001_bib12 – ident: 10.1016/j.ic.2009.10.001_bib6 – volume: 209 start-page: 123 year: 1998 ident: 10.1016/j.ic.2009.10.001_bib9 article-title: Threshold dominating sets and an improved version of W[2] publication-title: Theoretical Computer Science doi: 10.1016/S0304-3975(97)00101-1 – ident: 10.1016/j.ic.2009.10.001_bib2 doi: 10.1016/j.tcs.2009.08.033
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Snippet	We show that the two NP-complete problems of Dodgson Score and Young Score have differing computational complexities when the winner is close to being a...
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SubjectTerms	Algorithmics. Computability. Computer arithmetics Applied sciences Computational social choice Computer science; control theory; systems Exact sciences and technology Fixed-parameter tractability Miscellaneous Theoretical computing Voting systems W-completeness Winner determination
Title	Parameterized computational complexity of Dodgson and Young elections
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