Because of the high concentration of ownership among a fairly small number of major multinational corporations and investment firms, it is potentially possible to inflict consequences on the most powerful players in the global economy from almost anywhere. The vast diversity of their interests leaves them vulnerable to pressure from any number of points.
What this means is that, if you are having a problem with oppressive policies that are being imposed for the benefit of this or that company, and if that company is difficult to pressure directly, you can target its owners. This gives you many more options.
If it is not feasible to inflict financial loss, or share devaluation on a particular company, it is likely that the owners of that company are also the owners of a wide variety of others, some of which will surely be easier to pressure than the actual intended target of your action.
In Egypt there are many multinationals for whose sake the neoliberal program is being imposed which are actually owned by the same investment firms. Companies from a variety of sectors , like energy, pharmaceuticals, agriculture and so on, can be traced back to an often overlapping set of controlling shareholders.
For instance Vanguard Group is a controlling shareholder of Union Fenosa, GlaxoSmithKline, and Conagra. These are all companies pushing for, and benefitting from the neoliberal project in Egypt. Now, Vanguard has controlling interests in a vast number of other companies, any or all of which can be targeted in order to pressure Vanguard to use its influence over policy in Egypt in ways that promote rather than subvert the public welfare.
This is what is meant by the democratization of corporate influence. It means imposing accountability upon private power by any means available, until that power is utilized for the interests of the population.