Solomon Islands politics being characterized by fluid coalitions bears no relation to the education levels of the country’s leaders. It merely indicates that no single political party is able to win a majority of the seats in parliament or establish a firm coalition with another party.
In order to pass legislation, the government (the party with the most seats) must persuade some of the members of other parties to vote along with it. If there were two parties with several common goals or ideals, they might form a longstanding coalition. If such a coalition cannot be formed, the ruling party must attract enough votes for pieces of legislation on a case-by-case basis, usually by promising to pass a law desired by the coalition partners or providing some other benefit.
The “fluidity” of the coalitions refers to the fact that they are not static, but constantly changing.