Abstract
This paper describes the correspondences between the results given by backward induction (BI) and iterative elimination of weakly dominated strategies (IEWDS) in binary voting agendas with sequential voting. When the voters have strict preferences over all candidates, the strategies that survive IEWDS all select the unique candidate selected by the BI strategy profiles. But if some voters are indifferent, this result no longer holds. However, when there are only two candidates, it is possible to demonstrate strong relationships between the results given by BI and IEWDS, even when some voters have indifferences.
Similar content being viewed by others
References
Duggan J (2003) A note on backward induction, iterative elimination of weakly dominated strategies, and voting in binary agendas. http://www.rochester.edu/college/PSC/duggan/misc/IEWDS2.PDF
Farquharson R (1969). The theory of voting. Yale University Press, New Haven
Gretlein RJ (1982). Dominance solvable voting schemes: a comment. Econometrica 50: 527–528
Kramer G (1972). Sophisticated voting over multidimensional choice spaces. J Math Sociol 2: 165–180
Marx L and Swinkels J (1997). Order independence for iterated weak dominance. Games Econ Behav 18: 219–245
Marx L and Swinkels J (2000). Corrigendum. Games Econ Behav 31: 324–329
McKelvey R and Niemi R (1978). A multistage game representation of sophisticated voting for binary procedures. J Econ Theory 18: 1–22
Moulin H (1979). Dominance solvable voting schemes. Econometrica 47: 1337–1351
Osborne M and Rubinstein A (1994). A course in game theory. MIT Press, Cambridge
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Hummel, P. Iterative elimination of weakly dominated strategies in binary voting agendas with sequential voting. Soc Choice Welfare 31, 257–269 (2008). https://doi.org/10.1007/s00355-007-0278-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00355-007-0278-4