Measuring Diversity in Multilingual Communication

Table 2 Indicators of potentially successful communication for the three different communication models (figures rounded at the second decimal)

Communication model	m = 2	\(m = \bar{m} = 3\)	m = 4	Weighted by f_m*
Common language \((\phi_{com}^{m} )\)	0.77	0.60	0.47	0.62
Polyglottism \((\phi_{poly}^{m} )\)	0.86	0.70	0.56	0.72
Receptive multilingualism \((\phi_{rec}^{m} )\)	0.77	0.55	0.38	0.58

*This is a weighted indicator that takes the different sizes of the groups into account. The percentages were obtained from an implementation of formulas (3), (6) and (9) in the software MatLab. The code is available on request directly from the authors