Manipulability of majoritarian rules by coalitions with the same first-ranked alternative

Abstract The coalitional manipulability of 13 majoritarian aggregation schemes (voting rules) is studied by computational experiments. We consider a special case of coalition formation in which all agents of manipulating coalition report the same first-ranked alternative upon manipulation, i.e. a group of agents misrepresents their preferences and they agree that the same alternative will be on the first place of their insincere preferences. We find out that in most cases one of the least manipulable rules in this framework is Minimal Dominant Set, which was not among the least manipulable rules in the case of individual manipulation.

[1]  Dominique Lepelley,et al.  Some Further Results on the Manipulability of Social Choice Rules , 2006, Soc. Choice Welf..

[2]  Lin Zhou,et al.  Multi-valued strategy-proof social choice rules , 2002, Soc. Choice Welf..

[3]  Jean-Pierre Benoît,et al.  Strategic Manipulation in Voting Games When Lotteries and Ties Are Permitted , 2002, J. Econ. Theory.

[4]  Dominique Lepelley,et al.  The vulnerability of four social choice functions to coalitional manipulation of preferences , 1994 .

[5]  J. Kelly Almost all social choice rules are highly manipulable, but a few aren't , 1993 .

[6]  Fuad Aleskerov,et al.  Manipulability of Majority Relation-Based Collective Decision Rules , 2017, KES-IDT.

[7]  Dominique Lepelley,et al.  Voting Rules, Manipulability and Social Homogeneity , 2003 .

[8]  Shmuel Nitzan,et al.  The vulnerability of point-voting schemes to preference variation and strategic manipulation , 1985 .

[9]  Arkadii M. Slinko,et al.  How large should a coalition be to manipulate an election? , 2004, Math. Soc. Sci..

[10]  Ludovic Noirie,et al.  Can a Condorcet Rule Have a Low Coalitional Manipulability? , 2016, ECAI.

[11]  Jerry S. Kelly,et al.  STRATEGY-PROOFNESS AND SOCIAL CHOICE FUNCTIONS WITHOUT SINGLEVALUEDNESS , 1977 .

[12]  Fuad Aleskerov,et al.  On the manipulability of voting rules: The case of 4 and 5 alternatives , 2012, Math. Soc. Sci..

[13]  A. Gibbard Manipulation of Voting Schemes: A General Result , 1973 .

[14]  M. Satterthwaite Strategy-proofness and Arrow's conditions: Existence and correspondence theorems for voting procedures and social welfare functions , 1975 .

[15]  Salvador Barberà,et al.  THE MANIPULATION OF SOCIAL CHOICE MECHANISMS THAT DO NOT LEAVE "TOO MUCH" TO CHANCE' , 1977 .

[16]  John Duggan,et al.  Strategic manipulability without resoluteness or shared beliefs: Gibbard-Satterthwaite generalized , 2000, Soc. Choice Welf..

[17]  Geoffrey Pritchard,et al.  Exact results on manipulability of positional voting rules , 2007, Soc. Choice Welf..

[18]  F. W. Roush,et al.  Statistical manipulability of social choice functions , 1996 .

[19]  Fuad Aleskerov,et al.  Manipulability of Aggregation Procedures in Impartial Anonymous Culture , 2015, ITQM.

[20]  Fuad Aleskerov,et al.  An individual manipulability of positional voting rules , 2011 .

[21]  Dominique Lepelley,et al.  Borda rule, Copeland method and strategic manipulation , 2002 .