An analysis of stability sets in pure coordination games

We calculate the Lebesgue-measures of the stability sets of Nash-equilibria in pure coordination games. The results allow us to observe that the order ing induced by the Lebesgue-measure of stability sets upon strict Nash-equi libria does not necessarily agree with the ordering induced by risk-dominan ce. Accordingly, an equilibrium selection theory based on the Lebesgue-meas ure of stability sets would be necessarily different from one which uses th e Nash-property as a point of orientation.