N. L. Ackerman, A characterization of quasitrivial n-semigroups

S. Berg and T. Perlinger, Single-peaked Compatible Preference Profiles: Some Combinatorial Results, Social Choice and Welfare, vol.40, issue.1, pp.89-102, 2006.
DOI : 10.1007/BF00149365

D. Black, On the Rationale of Group Decision-making, Journal of Political Economy, vol.56, issue.1, pp.23-34, 1948.
DOI : 10.1086/256633

D. Black, The theory of committees and elections, 1987.
DOI : 10.1007/978-94-009-4225-7

M. Couceiro, J. Devillet, and J. Marichal, Characterizations of idempotent discrete uninorms, Fuzzy Sets and Systems, vol.334, pp.60-72, 2018.
DOI : 10.1016/j.fss.2017.06.013
URL : https://hal.archives-ouvertes.fr/hal-01447513

E. Czoga?a and J. Drewniak, Associative monotonic operations in fuzzy set theory, Fuzzy Sets and Systems, vol.12, issue.3, pp.249-269, 1984.
DOI : 10.1016/0165-0114(84)90072-1

J. Devillet, G. Kiss, and J. Marichal, Characterizations of quasitrivial symmetric nondecreasing associative operations. Submitted for publication

Z. Fitzsimmons, Single-Peaked Consistency for Weak Orders Is Easy, Proc. of the 15th Conf. on Theoretical Aspects of Rationality and Knowledge, pp.127-140, 2015.
DOI : 10.1007/s00355-010-0475-4
URL : http://arxiv.org/pdf/1406.4829

R. L. Graham, D. E. Knuth, and O. Patashnik, Concrete Mathematics: A Foundation for Computer Science, Computers in Physics, vol.3, issue.5, 1994.
DOI : 10.1063/1.4822863

J. Je?ek and T. Kepka, Quasitrivial and nearly quasitrivial distributive groupoids and semigroups, Acta Univ. Carolin. -Math. Phys, vol.19, issue.2, pp.25-44, 1978.

C. Jordan, Calculus of Finite Differences., Biometrika, vol.50, issue.1/2, 1979.
DOI : 10.2307/2333783

T. Kepka, Quasitrivial groupoids and balanced identities, Acta Univ. Carolin. -Math. Phys, vol.22, issue.2, pp.49-64, 1981.

N. Kimura, The structure of idempotent semigroups. I, Pacific Journal of Mathematics, vol.8, issue.2, pp.257-275, 1958.
DOI : 10.2140/pjm.1958.8.257

G. Kiss, Visual characterization of associative quasitrivial nondecreasing functions on finite chains

H. Länger, The free algebra in the variety generated by quasi-trivial semigroups, Semigroup Forum, vol.38, issue.1, pp.151-156, 1980.
DOI : 10.1090/S0002-9939-1973-0310093-1

C. Mariconda and A. Tonolo, Discrete calculus: methods for counting, 2016.
DOI : 10.1007/978-3-319-03038-8

J. Martín, G. Mayor, and J. Torrens, On locally internal monotonic operations. Fuzzy Sets and Syst, pp.27-42, 2003.

D. Mclean, Idempotent Semigroups, The American Mathematical Monthly, vol.61, issue.2, pp.110-113, 1954.
DOI : 10.2307/2307797

L. Org, C. , V. , F. E. Mathematics, . Unit et al., The On-Line Encyclopedia of Integer Sequences