Paired Comparison Product Testing When Individual Preferences are Stochastic

Dynamic paired comparison models with stochastic variances

In paired comparison experiments, the worth or merit of a unit is measured through comparisons against other units. When paired comparison outcomes are collected over time and the merits of the units may be changing, it is often convenient to assume the data follow a non-linear state-space model. Typical paired comparison state-space models that assume a ® xed (unknown) autoregressive variance ...

PAIRED COMPARISON DESIGNS FOR TESTING CONCORDANCE BEl '

Rationalization of choice when preferences are vague

In this paper, we discuss the decision situation where the (vague) preferences are represented by fuzzy relations. There are two ways to interpret this situation: (i) an individual decision maker chooses perfect rankings from a set and uses that combination of rankings as her/his preference ranking. (ii) or a group of decision makers are reporting perfect rankings but their group decision is a ...

A topological approach to the Arrow impossibility theorem when individual preferences are weak orders

We will present a topological approach to the Arrow impossibility theorem of social choice theory that there exists no binary social choice rule (which we will call a social welfare function) which satisfies the conditions of transitivity, independence of irrelevant alternatives (IIA), Pareto principle and non-existence of dictator. Our research is in line with the studies of topological approa...

When is Individual Testing Optimal for Nonadaptive Group Testing?

The combinatorial group testing problem is, assuming the existence of up to d defectives among n items, to identify the defectives by as few tests as possible. In this paper, we study the problem for what values of n, given d, individual testing is optimal in nonadaptive group testing. Let N(d) denote the largest n for fixed d for which individual testing is optimal. We will show that N(d) = (d...