IJPAM: Volume 90, No. 2 (2014)

AN APPLICATION OF BINOMIAL COEFFICIENTS
TO SOCIAL CHOICE THEORY

Bonifacio Llamazares
Department of Applied Economics and Institute of Mathematics (IMUVA)
University of Valladolid
Avda. Valle de Esgueva 6, 47011, Valladolid, SPAIN


Abstract. In this paper we determine the number of positive integer sequences $a_1,a_2,\dots,a_k$ such that $1\le a_1\le \cdots \le a_k \le m$ and $a_i\ge i$ for all $i\in \{1,\dots, k\}$. After that, we apply this result to calculate the number of anonymous, neutral and monotonic social welfare functions when only two alternatives are considered.

Received: May 25, 20012

AMS Subject Classification: 11B65, 91B12, 91B14

Key Words and Phrases: binomial coefficients, voting systems, social welfare functions

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DOI: 10.12732/ijpam.v90i2.1 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 90
Issue: 2