When major investors own shares in multiple firms in the same industry, the cross ownership changes competitive interests and moves the equilibrium closer to the monopoly solution. In the presence of cross ownership, the traditional measure of industry concentration, the Hirschman-Herfindahl Index, fails to accurately reflect the level of competition in the market. We extend the literature on c...

The Herfindahl-Hirschman Index is one of the most commonly used indicators to detect anticompetitive behavior in industries. In fact, an increase in the value of the index is usually interpreted as an indicator of actions which may lessen competition or even create a monopoly. In this paper we show that this is not always the case. If all firms cooperate, then the index cannot be used since it ...

In this paper we uses an I.I. Hirschman-W. Beckner entropy argument to give an uncertainty inequality for the q-Bessel Fourier transform: Fq,vf(x) = cq,v ∫ ∞ 0 f(t)jv(xt, q 2)t2v+1dqt, where jv(x, q) is the normalized Hahn-Exton q-Bessel function.