Exploiting polyhedral symmetries in social choice
暂无分享,去创建一个
[1] Komei Fukuda,et al. Exact volume computation for polytopes: a practical study , 1996 .
[2] William V. Gehrlein,et al. Condorcet winners on four candidates with anonymous voters , 2001 .
[3] S. Berg,et al. A note on the paradox of voting: Anonymous preference profiles and May's formula , 1983 .
[4] Achill Schürmann,et al. C++ Tools for Exploiting Polyhedral Symmetries , 2010, ICMS.
[5] Geoffrey Pritchard,et al. Probability calculations under the IAC hypothesis , 2007, Math. Soc. Sci..
[6] Dominique Lepelley,et al. On Ehrhart polynomials and probability calculations in voting theory , 2008, Soc. Choice Welf..
[7] William V. Gehrlein. Condorcet efficiency and constant scoring rules , 1982, Math. Soc. Sci..
[8] Alexander I. Barvinok,et al. A Polynomial Time Algorithm for Counting Integral Points in Polyhedra when the Dimension Is Fixed , 1993, FOCS.
[9] Vincent C. H. Chua,et al. Analytical representation of probabilities under the IAC condition , 2000, Soc. Choice Welf..
[10] Maurice Bruynooghe,et al. Algorithms for Weighted Counting over Parametric Polytopes: A Survey and a Practical Comparison , 2008, ITSL.
[11] Martin E. Dyer,et al. On the Complexity of Computing the Volume of a Polyhedron , 1988, SIAM J. Comput..
[12] Alexander Barvinok,et al. Integer Points in Polyhedra , 2008 .
[13] F. Tabak,et al. Counting lattice points in polyhedra using the Ehrhart theory, applied to Voting theory , 2010 .
[14] Jesús A. De Loera,et al. Computation of the Highest Coefficients of Weighted Ehrhart Quasi-polynomials of Rational Polyhedra , 2010, Found. Comput. Math..
[15] Jesús A. De Loera,et al. How to integrate a polynomial over a simplex , 2008, Math. Comput..
[16] Peter C. Fishburn,et al. The probability of the paradox of voting: A computable solution , 1976 .
[17] Jesús A. De Loera,et al. Software for exact integration of polynomials over polyhedra , 2011, ACCA.
[18] S. Robins,et al. Computing the Continuous Discretely , 2015 .
[19] William V. Gehrlein,et al. Voting Paradoxes and Group Coherence , 2011 .
[20] William V. Gehrlein. Obtaining representations for probabilities of voting outcomes with effectively unlimited precision integer arithmetic , 2002, Soc. Choice Welf..
[21] L. A. Goodman,et al. Social Choice and Individual Values , 1951 .
[22] Michael Joswig,et al. polymake: a Framework for Analyzing Convex Polytopes , 2000 .
[23] William J. Cook,et al. On integer points in polyhedra , 1992, Comb..
[24] Murray Schechter,et al. INTEGRATION OVER A POLYHEDRON : AN APPLICATION OF THE FOURIER-MOTZKIN ELIMINATION METHOD , 1998 .