This paper studies pairwise comparison dynamics for population games with continuous strategy space. We show that the pairwise comparison dynamic is well-defined if certain mild Lipschitz continuity conditions are satisfied. We establish Nash stationarity and positive correlation for pairwise comparison dynamics. Finally, we prove global convergence and local stability under general determinist...

Current research proposes a natural environment for the space-time codes and in this context it is obtained a new design criterion for space-time codes in multi-antenna communication channels. The objective of this criterion is to minimize the pairwise error probability of the maximum likelihood decoder, endowed with the matrix spectrum norm. The random matrix theory is used and an approximatio...

Pairwise comparisons are used in a wide variety of decision situations where the importance alternatives should be measured on numerical scale. One popular method to derive priorities is based right eigenvector multiplicative pairwise comparison matrix. We consider two monotonicity axioms this setting. First, increasing an arbitrary entry matrix not allowed result counter-intuitive rank reversa...

Ranking a set of items given preferences among them is a fundamental problem that arises naturally in several real world situations such as ranking candidates in elections, movies, sports teams, documents in response to a query to name a few. In each of these situations, the preference data among the items to be ranked may be available in different forms: as pairwise comparisons, partial orderi...

Computing a hierarchical clustering of objects from a pairwise distance matrix is an important algorithmic kernel in computational science. Since the storage of this matrix requires quadratic space with respect to the number of objects, the design of memory-efficient approaches is of high importance to this research area. In this paper, we address this problem by presenting a memory-efficient o...

introduction floods are major disasters worldwide that causes serious damage to agriculture, fisheries, housing and infrastructure. they can also disrupt socio-economic activities. as the severity and frequency of flood events have considerably increased, there is a growing global concern about the need to decrease flood related fatalities and associated economic losses. just in 2010, 178 million...

This study proposes some issues to solve the Incomplete Linguistic Preference Relations under Multi-Criteria Decision Making. The proposed method has simple calculation and can speed up the process of comparison and selection of alternative. Experts obtain the matrix by choosing a finite and fixed set of alternatives and perform a pairwise comparison based on their different preferences and kno...

An important variant of a key problem for multi-attribute decision making is considered. We study the extension of the pairwise comparison matrix to the case when only partial information is available: for some pairs no comparison is given. It is natural to define the inconsistency of a partially filled matrix as the inconsistency of its best, completely filled completion. We study here the uni...

An important variant of a key problem for multi-attribute decision making is considered. We study the extension of the pairwise comparison matrix to the case when only partial information is available: for some pairs no comparison is given. It is natural to define the inconsistency of a partially filled matrix as the inconsistency of its best, completely filled completion. We study here the uni...

We administered all paired comparisons of eight gambling stimuli to samples of inpatient schizophrenics, outpatient schizophrenics, and a comparison group of first-degree relatives. A matrix of pairwise preferences was elicited from each subject, and decomposed into a binary matrix indicating stimulus choice, and an unsigned dissimilarity matrix representing strength of preference. These matric...