On types of responsiveness in the theory of voting
Journal Title: Operations Research and Decisions - Year 2016, Vol 26, Issue 2
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.
Authors and Affiliations
Manfred J. HOLLER, Hannu NURMI
Keywords
Related Articles
- EP ID EP323619
- DOI -
- Views 51
- Downloads 0
Probabilistic models for analyzing the availability and profit of a deteriorating 2-out-of-4 system
This paper deals with modelling and evaluating the availability and profit of a linear consecutive 2-out-of-4 system exposed to three consecutive stages of deterioration before failure. The system will pass through three...
Power on digraphs
It is assumed that relations between n players are represented by a directed graph or digraph. Such a digraph is called invariant if there is a link (arc) between any two players between whom there is also a directed pat...
A Bayesian model of group decision-making
A change in the opinion of a group, treated as a network of communicating agents, caused by the accumulation of new information is expected to depend on communication within the group, coopera-tion and, possibly, a kind...
Comparison of the Gini and Zenga indexes using some theoretical income distributions abstract
The most common measure of inequality used in scientific research is the Gini index. In 2007, Zenga proposed a new index of inequality that has all the appropriate properties of an measure of equality. In this paper, we...
Decisions involving databases, fuzzy databases and codatabases
The authors consider the following three ways of decision making: (i) decisions involving databases by means of standard tools of sequential logic and universal algebra; (ii) deci sions involvingfuzzy databases by means...