You can refer to a situation in which different people or groups are competing for power as a power game, especially if you disapprove of the methods they are using in order to try to win power.
...the dangerous power games following the dictator's death.
power game in British English
(ˈpaʊə ɡeɪm)
noun
a situation in which different people or groups are competing for power
the dangerous power games in the Kremlin following Stalin's death