Minoans and Mycenaeans

Answer the following question in a well-researched and well-thought-out essay of 1800 words (word count does not include bibliography). When writing the essay, make sure to back up statements with evidence both modern and ancient, document that evidence (with an in-text citation), and structure your arguments so as to support your own opinion on the topic.
Research Essay Topic:
One of the largest debates in Minoan and Mycenaean studies revolves around the questions of whether the Mycenaeans ruled over the Minoans at Knossos in the Late Bronze Age, and if so, at what time period did they hold sway, and what was the nature of their rule? Explore the arguments put forth in this debate, and make a case as to which of the theories seems to hold the greatest weight.