@article{Herzog2015, author = {Herzog, Bodo}, title = {Applied mathematical theory of governance : impact of group size to governance}, journal = {Theoretical mathematics and applications}, volume = {5}, number = {2}, issn = {1792-9687}, url = {http://www.scienpress.com/Upload/TMA/Vol\%205_2_4.pdf}, institution = {ESB Business School}, pages = {71 -- 87}, year = {2015}, abstract = {This paper analyzes governance mechanisms for different group sizes. The European sovereign debt crisis has demonstrated the need of efficient governance for different group sizes. I find that self-governance only works for sufficiently homogenous and small neighbourhoods. Second, as long as the union expands, the effect of credible self-governance decreases. Third, spill-over effects amplify the size effect. Fourth, I show that sufficiently large monetary unions, are better off with costly but external governance or a free market mechanism. Finally, intermediate-size unions are most difficult to govern efficiently.}, language = {en} }