It's not clear that globalization will have this effect, though. For example, a study "In search of homo economicus: behavioral experiments in 15 small-scale societies" found that individuals from cultures with more "market interaction" tended to make higher offers in an ultimatum game [
http://authors.library.caltech.edu/11498/1/HENaer01.pdf].
Another study, [http://journals.plos.org/plosone/article?id=10.1371/journal....], contains a short literature review of "the effect of formal institutions–including markets–on trust" and concludes that existing evidence is inconclusive.
(these studies are about market institutions, not explicitly globalization, but one could imagine that globalization could involve more market institutions; my point is just that globalization involves all sorts of factors, some of which are probably pro-cooperation and some of which are probably anti-cooperation, and it's not immediately clear whether the final outcome will be more cooperation or less)