[图书][B] Elections, voting rules and paradoxical outcomes

WV Gehrlein, D Lepelley - 2017 - Springer
The topics of Election Procedures and Voting Paradoxes have been formally studied by a
very large number of philosophers, mathematicians, economists, and political scientists …

[HTML][HTML] Software for exact integration of polynomials over polyhedra

JA De Loera, B Dutra, M Koeppe, S Moreinis… - Computational …, 2013 - Elsevier
We are interested in the fast computation of the exact value of integrals of polynomial
functions over convex polyhedra. We present speed-ups and extensions of the algorithms …

[HTML][HTML] The power of pyramid decomposition in Normaliz

W Bruns, B Ichim, C Söger - Journal of Symbolic Computation, 2016 - Elsevier
We describe the use of pyramid decomposition in Normaliz, a software tool for the
computation of Hilbert bases and enumerative data of rational cones and affine monoids …

Multi-winner scoring election methods: Condorcet consistency and paradoxes

M Diss, A Doghmi - Public Choice, 2016 - Springer
The goal of this paper is to propose a comparison of four multi-winner voting rules, k-
Plurality, k-Negative Plurality, k-Borda, and Bloc. These four election methods are …

Computations of volumes and Ehrhart series in four candidates elections

W Bruns, B Ichim, C Söger - Annals of Operations Research, 2019 - Springer
We describe several analytical results obtained in four candidates social choice elections
under the assumption of the Impartial Anonymous Culture. These include the Condorcet and …

[PDF][PDF] Exploring the no-show paradox for Condorcet extensions using Ehrhart theory and computer simulations

F Brandt, J Hofbauer, M Strobel - Proceedings of the 18th …, 2019 - aamas.csc.liv.ac.uk
Results from voting theory are increasingly used when dealing with collective decision
making in computational multiagent systems. An important and surprising phenomenon in …

[PDF][PDF] Analyzing the practical relevance of voting paradoxes via Ehrhart theory, computer simulations, and empirical data

F Brandt, C Geist, M Strobel - … of the 2016 international conference on …, 2016 - dss.in.tum.de
Results from social choice theory are increasingly used to argue about collective decision
making in computational multiagent systems. A large part of the social choice literature …

Probabilities of electoral outcomes: from three-candidate to four-candidate elections

A El Ouafdi, D Lepelley, H Smaoui - Theory and Decision, 2020 - Springer
The main purpose of this paper is to compute the theoretical likelihood of some electoral
outcomes under the impartial anonymous culture in four-candidate elections by using the …

[HTML][HTML] The computation of generalized Ehrhart series in Normaliz

W Bruns, C Söger - Journal of Symbolic Computation, 2015 - Elsevier
We describe an algorithm for the computation of generalized (or weighted) Ehrhart series
based on Stanley decompositions as implemented in the offspring NmzIntegrate of …

Asymptotic vulnerability of positional voting rules to coalitional manipulation

I Moyouwou, H Tchantcho - Mathematical Social Sciences, 2017 - Elsevier
Voting rule performances are sometimes evaluated according to their respective resistances
to allow profitable misrepresentation of individual preferences. This seems to be a hard task …