In this paper we derive new properties complementary to an $2n \times 2n$ Brualdi-Li tournament matrix $B_{2n}$. We show that $B_{2n}$ has exactly one positive real eigenvalue and one negative real eigenvalue and, as a by-product, reprove that every Brualdi-Li matrix has distinct eigenvalues. We then bound the partial sums of the real parts and the imaginary parts of its eigenvalues. The inverse of $B_{2n}$ is also determined. Related results obtained in previous articles are proven to be corollaries.
This article looks at the marginalization of the Roma from the perspective of socio-psychological dynamics of society. The author takes the specific case of Roma settlements in Slovakia, where he has conducted anthropological research, to illustrate how the mechanism of marginalisation functions. Drawing on the work of Tzvetan Todorov and Peter L. Berger, he argues that at the heart of human sociability - the ability and necessity to live among others - is the constant human need for attention and recognition from others. This basic human need affects the socio-psychological dynamics of society, including the marginalisation as well as integration of some of its groups. This need for attention and recognition leads to the emergence of complex 'counterworlds' or 'counter-societies', with their alternative value systems. The Roma settlements and urban ghettoes represent such counter-worlds that provide their inhabitants with attention, recognition, positive self-interpretation, and confirmation of their values. If the inhabitants of these counter-worlds are unable to fulfil this need anywhere else, then their integration into wider society cannot be achieved.