Political coalition formation games can describe the formation and dissolution of nations, as well as the creation of coalition governments, the establishment of political parties, and other similar phenomena. These games have been studied from a theoretical perspective, but the models have not been used extensively in empirical work. This paper presents a method of estimating political coalition formation models with many-player coalitions, and then applies this method to the recent heisei municipal amalgamations in Japan to estimate structural coeffients that describe the behaviour of municipalities. The method enables counterfactual analysis, which in the Japanese case shows that the national government could increase welfare via a count...