What type of government did the byzantine empire ! 20points

I believe they had a monarchy.

In the Byzantine state : the emperor was the sole and absolute ruler and his power was regarded  as having divine origin .  By the end of the 8th century, a civil administration focused on the court was formed as part of a large-scale consolidation of power in the capital (the rise to pre-eminence of the position of sakellarios is related to this change). The most important reform of this period is the creation of themes, where civil and military administration is exercised by one person, the strategos . Despite the occasionally derogatory use of the word "Byzantine", the Byzantine bureaucracy had a distinct ability for reinventing itself in accordance with the Empire's situation. The Byzantine system of titulature and precedence makes the imperial administration look like an ordered bureaucracy to modern observers. Officials were arranged in strict order around the emperor, and depended upon the imperial will for their ranks. There were also actual administrative jobs, but authority could be vested in individuals rather than offices. In the 8th and 9th centuries civil service constituted the clearest path to aristocratic status, but, starting in the 9th century, the civil aristocracy was rivaled by an aristocracy of nobility. According to some studies of Byzantine government, 11th-century politics were dominated by competition between the civil and the military aristocracy. During this period, Alexios I undertook important administrative reforms, including the creation of new courtly dignities and offices.

The answer is installation.