Premium
Proportional methods, extremal values and manipulability
Author(s) -
PETIT J.L.,
TÉROUANNE E.
Publication year - 1988
Publication title -
european journal of political research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.267
H-Index - 95
eISSN - 1475-6765
pISSN - 0304-4130
DOI - 10.1111/j.1475-6765.1988.tb00156.x
Subject(s) - multiplicative function , property (philosophy) , mathematics , mathematical economics , statistics , econometrics , mathematical analysis , philosophy , epistemology
. Proportional methods are used either for apportioning seats to states in proportion to their respective populations, or for allocating seats to lists in proportion to their respective scores in a poll. A family of such methods has been extensively studied and used. We generalize them as ‘multiplicative methods’, and show that there is another family, ‘additive methods’, that generalizes the greatest remainders method. We define a property of ‘regularity’, characterized by additive methods but not by multiplicative methods, thus showing that most of the methods now used are open to manipulation.