@book(arhangel?skij1990general,
 author       = {Aleksandr V. Arhangel'skij and Lev S. Pontryagin},
 year         = {1990},
 title        = {{General Topology: Basic Concepts and Constructions. Dimension Theory. I}},
 publisher    = {Springer-Verlag},
)
@article(arrowjko,
 author       = {Kenneth J. Arrow},
 year         = {1951},
 title        = {{Social Choice and Individual Values}},
 journal      = {New York},
)
@article(banach1922operations,
 author       = {Stefan Banach},
 year         = {1922},
 title        = {Sur les op{\'e}rations dans les ensembles abstraits et leur application aux {\'e}quations int{\'e}grales},
 journal      = {Fundamenta Mathematicae},
 volume       = {3},
 number       = {1},
 pages        = {133--181},
 doi          = {10.4064/fm-3-1-133-181},
)
@article(banzhaf1964weighted,
 author       = {Banzhaf III, John F.},
 year         = {1964},
 title        = {{Weighted {V}oting {D}oesn't {W}ork: {A} {M}athematical {A}nalysis}},
 journal      = {Rutgers L. Rev.},
 volume       = {19},
 pages        = {317},
)
@article(barbera1980pivotal,
 author       = {Salvador Barbera},
 year         = {1980},
 title        = {{Pivotal Voters: A New Proof of Arrow's Theorem}},
 journal      = {Economics Letters},
 volume       = {6},
 number       = {1},
 pages        = {13--16},
 doi          = {10.1016/0165-1765(80)90050-6},
)
@article(blau1972direct,
 author       = {Julian H. Blau},
 year         = {1972},
 title        = {{A Direct Proof of Arrow's Theorem}},
 journal      = {Econometrica: Journal of the Econometric Society},
 pages        = {61--67},
 doi          = {10.2307/1909721},
)
@inproceedings(cagliari2015natural,
 author       = {Francesca Cagliari and Di Fabio, Barbara and Claudia Landi},
 year         = {2015},
 title        = {{The Natural Pseudo-distance as a Quotient Pseudo-metric, and Applications}},
 booktitle    = {Forum Mathematicum},
 volume       = {27},
 organization = {De Gruyter},
 pages        = {1729--1742},
)
@mastersthesis(Feys:Thesis:2015,
 author       = {Frank M. V. Feys},
 year         = {2015},
 title        = {{Fourier Analysis for Social Choice}},
 school       = {Universiteit van Amsterdam},
 address      = {the Netherlands},
)
@article(friedgut2002boolean,
 author       = {Ehud Friedgut and Gil Kalai and Assaf Naor},
 year         = {2002},
 title        = {{Boolean Functions Whose Fourier Transform is Concentrated on the First Two Levels}},
 journal      = {Advances in Applied Mathematics},
 volume       = {29},
 number       = {3},
 pages        = {427--437},
 doi          = {10.1016/S0196-8858(02)00024-6},
)
@article(garman1968paradox,
 author       = {Mark B. Garman and Morton I. Kamien},
 year         = {1968},
 title        = {{The Paradox of Voting: Probability Calculations}},
 journal      = {Behavioral Science},
 volume       = {13},
 number       = {4},
 pages        = {306--316},
 doi          = {10.1002/bs.3830130405},
)
@article(geanakoplos2005three,
 author       = {John Geanakoplos},
 year         = {2005},
 title        = {{Three Brief Proofs of Arrow's Impossibility Theorem}},
 journal      = {Economic Theory},
 volume       = {26},
 number       = {1},
 pages        = {211--215},
 doi          = {10.1007/s00199-004-0556-7},
)
@article(gibbard1973manipulation,
 author       = {Allan Gibbard},
 year         = {1973},
 title        = {{Manipulation of Voting Schemes: A General Result}},
 journal      = {Econometrica},
 volume       = {41},
 number       = {4},
 pages        = {587--601},
 doi          = {10.2307/1914083},
)
@article(kalai2002fourier,
 author       = {Gil Kalai},
 year         = {2002},
 title        = {{A Fourier-theoretic Perspective on the Condorcet Paradox and Arrow's Theorem}},
 journal      = {Advances in Applied Mathematics},
 volume       = {29},
 number       = {3},
 pages        = {412--426},
 doi          = {10.1016/S0196-8858(02)00023-4},
)
@article(kirman1972arrow,
 author       = {Alan P. Kirman and Dieter Sondermann},
 year         = {1972},
 title        = {{Arrow's Theorem, Many Agents, and Invisible Dictators}},
 journal      = {Journal of Economic Theory},
 volume       = {5},
 number       = {2},
 pages        = {267--277},
 doi          = {10.1016/0022-0531(72)90106-8},
)
@article(mossel2012quantitativeor,
 author       = {Elchanan Mossel},
 year         = {2012},
 title        = {A {Q}uantitative {A}rrow {T}heorem},
 journal      = {Probability Theory and Related Fields},
 volume       = {154},
 number       = {1-2},
 pages        = {49--88},
 doi          = {10.1007/s00440-011-0362-7},
)
@article(nash1950equilibrium,
 author       = {John F. Nash},
 year         = {1950},
 title        = {{Equilibrium Points in $n$-Person Games}},
 journal      = {Proceedings of the National Academy of Sciences},
 volume       = {36},
 number       = {1},
 pages        = {48--49},
 doi          = {10.1073/pnas.36.1.48},
)
@book(o2014analysis,
 author       = {Ryan O'Donnell},
 year         = {2014},
 title        = {{Analysis of {B}oolean {F}unctions}},
 publisher    = {Cambridge University Press},
 doi          = {10.1017/CBO9781139814782},
)
@article(pata2014fixed,
 author       = {Vittorino Pata},
 year         = {2014},
 title        = {{Fixed Point Theorems and Applications}},
 journal      = {Politecnico di Milano},
)
@article(reny2001arrow,
 author       = {Philip J. Reny},
 year         = {2001},
 title        = {{Arrow's Theorem and the Gibbard-Satterthwaite Theorem: A Unified Approach}},
 journal      = {Economics Letters},
 volume       = {70},
 number       = {1},
 pages        = {99--105},
 doi          = {10.1016/S0165-1765(00)00332-3},
)
@book(rotman2012introduction,
 author       = {Joseph J. Rotman},
 year         = {2012},
 title        = {{An Introduction to the Theory of Groups}},
 volume       = {148},
 publisher    = {Springer Science \& Business Media},
)