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Consistent Probabilistic Social Choice [article]

Florian Brandl and Felix Brandt and Hans Georg Seedig
2016 arXiv   pre-print
., lotteries that correspond to optimal mixed strategies of the underlying plurality game.  ...  In the context of traditional non-probabilistic social choice, these axioms are incompatible with each other.  ...  Acknowledgements This material is based on work supported by the Deutsche Forschungsgemeinschaft under grants BR 2312/7-2 and BR 2312/10-1. Early versions of this paper were presented at the  ... 
arXiv:1503.00694v4 fatcat:n5gjjexwgbf6phrs5d7l7x6wui

Consistent Probabilistic Social Choice

Florian Brandl, Felix Brandt, Hans Georg Seedig
2016 Econometrica  
More on the tournament equilibrium set. Mathématiques et sciences humaines, 31(123):37-44, 1993a. G. Laffond, J.-F. Laslier, and M. Le Breton. The bipartisan set of a tournament game.  ...  Fishburn's function returns so-called maximal lotteries, i.e., lotteries that correspond to optimal mixed strategies in the symmetric zero-sum game induced by the pairwise majority margins.  ...  Acknowledgements This material is based on work supported by the Deutsche Forschungsgemeinschaft under grants BR 2312/7-2 and BR 2312/10-1. Early versions of this paper were presented at the  ... 
doi:10.3982/ecta13337 fatcat:k2miryyr4vgf3brdwq5ikyazcm

The Condorcet set: Majority voting over interconnected propositions

Klaus Nehring, Marcus Pivato, Clemens Puppe
2014 Journal of Economic Theory  
We investigate the size and structure of the Condorcet set -and hence the scope and severity of path-dependence -for several important classes of judgement aggregation problems.  ...  Thus, we consider the Condorcet set: the set of logically consistent views which agree with the majority in as many issues as possible.  ...  In the setting of Arrovian preference aggregation, it corresponds to the Kemeny (1959) rule, which has been analyzed by Young and Levenglick (1978) and Young (1986 Young ( , 1988 Young ( , 1995 Young  ... 
doi:10.1016/j.jet.2013.12.013 fatcat:e5okpv3t7jcf7oc4bqqxgve7my

Chapter 4 Voting procedures [chapter]

Steven J. Brams, Peter C. Fishburn
2002 Handbook of Social Choice and Welfare  
This procedure is axiomatized by Young and Levenglick (1978) ; also see Young (1988 Young ( , p. 1242 ).  ...  Many additional results along this line appear in Kelly (1974) , Fishburn, Gehrlein and Maskin (1979) and the extensive reviews of Gehrlein (1983 Gehrlein ( , 1997 .  ... 
doi:10.1016/s1574-0110(02)80008-x fatcat:vne53hrbijftvg3ia4csrsbh6e

The median rule in judgement aggregation

Klaus Nehring, Marcus Pivato
2021 Economic Theory  
AbstractA judgement aggregation rule takes the views of a collection of voters over a set of interconnected issues and yields a logically consistent collective view.  ...  In the special case of preference aggregation, this is called the Kemeny rule.  ...  The main comparison result in the literature is the remarkable characterization of the median rule in the aggregation of linear orderings ("rankings") by Young and Levenglick (1978) .  ... 
doi:10.1007/s00199-021-01348-7 fatcat:lbji5megmvduvdbyaphzoeoifi

The Median Rule in Judgement Aggregation

Klaus Nehring, Marcus Pivato
2018 Social Science Research Network  
A judgement aggregation rule takes the views of a collection of voters over a set of interconected issues, and yields a logically consistent collective view.  ...  In the special case of preference aggregation, this is called the Kemeny rule.  ...  The main comparison result in the literature is the remarkable characterization of the median rule in the aggregation of linear orderings ("rankings") by Young and Levenglick (1978) .  ... 
doi:10.2139/ssrn.3113562 fatcat:t6zb74r5enherjtjxctmeu5gz4

Aggregation of Rankings in Figure Skating

Michel Truchon
2004 Social Science Research Network  
Thus, choosing r in this case would be inconsistent with the Condorcet-Kemeny-Young approach since this order is less probable than any Kemeny order.According to the definition of the mean Kemeny ranking  ...  However, Young and Levenglick (1978) show that the Kemeny rule satisfies a weaker independence condition that they call local independence of irrelevant alternatives (LIIA).  ... 
doi:10.2139/ssrn.559981 fatcat:2pn2wwv6vjatrbbnuvvzmdjtdm

Methods for distance-based judgment aggregation

Michael K. Miller, Daniel Osherson
2008 Social Choice and Welfare  
A central result is that only one of these methods (not previously considered in the literature) satisfies three attractive properties for all reasonable metrics.  ...  They each guarantee group consistency and implement a range of distinct functions with different properties, broadening the available tools for social choice.  ...  Acknowledgments We thank Christian List, Clemens Puppe, and the participants at the 2007 Workshop on Judgment Aggregation in Freudenstadt, Germany, as well as Editor Salles and two anonymous reviewers,  ... 
doi:10.1007/s00355-008-0340-x fatcat:zzowz2bdpvc6lgde5ql6cc2gra

Rank Order Scaling of Pictorial Depth

Andrea van Doorn, Jan Koenderink, Johan Wagemans
2011 i-Perception  
From a previous experiment we have metrical data for the same observers. The rank correlations between the results are high.  ...  Perhaps surprisingly, we find no correlation between the number of distinct depth layers and the total metrical depth range.  ...  This work was supported by the Methusalem programme by the Flemish Government (METH/08/02) awarded to JW.  ... 
doi:10.1068/i0432aap pmid:23145256 pmcid:PMC3485810 fatcat:jafmznih35gwfn2oxib2g4q3ay

Justifying optimal play via consistency

Florian Brandl, Felix Brandt
2019 Theoretical Economics  
This result can be extended to characterize Nash equilibrium in bimatrix games whenever the set of equilibria is interchangeable.  ...  Our characterization shows that a rational and consistent consequentialist who ascribes the same properties to his opponent has to play maximin strategies.  ...  The analogue of consistency for social choice theory is the central property in a number of important axiomatic characterizations (see, e.g., Smith 1973 , Young 1975 , Young and Levenglick 1978 , Brandl  ... 
doi:10.3982/te3423 fatcat:2yufp46pdzcmtaj3bhltzm72ce

Majority Rule in the Absence of a Majority

Klaus Nehring, Marcus Pivato
2018 Social Science Research Network  
of a classic result  ...  What is the meaning of 'majoritarianism' in a judgement aggregation problem when the propositionwise majority view is logically inconsistent?  ...  This is analogous to the classic result of Young and Levenglick (1978) characterizing the Kemeny rule.  ... 
doi:10.2139/ssrn.3113575 fatcat:on7omdmvl5hyvfx2fdzxa424gi

Interactions in Complex Systems Interactions in Complex Systems

Stéphane Cordier, Nicolas Debarsy, Cem Ertur, François Nemo, Déborah Nourrit, Gérard Poisson, Christel Vrain
2016 unpublished
Acknowledgments The authors wish to thank the "Lendület" program of the Hungarian Academy of Sciences and the Hungarian Scientific Research Fund (OTKA K112929) for financial and organizational support  ...  Vergès and Y. Touré, initiators of the project, for having given them the opportunity to work on this challenging project and M. Fodha for fruitful discussions.  ...  Kemeny optimal aggregation is that it complies with Condorcet principle which is not the case with positional methods like Borda's algorithm (Young & Levenglick 1978) .  ... 
fatcat:frwbup7etjhflluynbfjuqz7lm