Politics within the Sangha

Where there is a group of people, there will be politics and organizational dynamics. This should be no different with the Sangha. For example, monks trying to cause dissent or schism, monks who disobey instructions, monks trying to gain power over others, monks who are envious of others, monks trying to get the attention of the Buddha or their abbot etc. How did the Buddha handle such situations in his time? How are such situations handled within the Sangha today?