J. Sánchez Soriano, J. C. Gonçalves Dosantos
The apportionment problem consists of determining how to divide a given (nonnegative) integer number among a set of individuals according to their respective sizes. In electoral systems with proportional representation, the apportionment problem arises in two situations: in the allotment of seats to constituencies, if any, and in the allocation of seats to the political parties within each constituency. In this paper, we consider the problem in which the seats are grouped in lots which is an extension of the standard apportionment problem. For this new problem we propose and analyze different aportionments methods based on traditional ones. Likewise, we analyze the political implications of considering that the seats are not allocated one by one but in groups of different sizes.
Keywords: apportionment, politics, game theory
Scheduled
GT19.GAMES2
November 9, 2023 1:00 PM
CC2: Conference Room