Issue: 2016/Vol.26/No.2, Pages 87-106
ON TYPES OF RESPONSIVENESS IN THE THEORY OF VOTING
Manfred J. Holler
, Hannu Nurmi
Cite as: M. J. Holler, H. Nurmi. On types of responsiveness in the theory of voting. Operations Research and Decisions 2016: 26(2), 87-106. DOI 10.5277/ord160206
Abstract
In mathematics, monotonicity is used to denote the nature of the connection between variables. Hence for example, a variable is said to be a monotonically increasing function of another variable if an increase in the value of the latter is always associated with an increase in the other variable. In the theory of voting and the measurement of a priori voting power one encounters, not one, but several concepts that are closely related to the mathematical notion of monotonicity. We deal with such notions focusing particularly on their role in capturing key aspects of plausible opinion aggregation. Further, we outline approaches to analyzing the relationship of opinion aggregation and voting power and thereby contribute to our understanding of major components that determine the outcome of voting.
Keywords: plausible opinion aggregation, monotonicity, no-show paradox
Received: 24 April 2016 Accepted: 5 July 2016