Even the boys who were ordered to do the beating up of Wilfred in Chapter ten of the novel 'Lord of the Flies' by William Golding have no idea why they are doing it. All they know is that Jack has ordered them to do it and so they do. We can speculate of course. I wonder whether where there waas some challenge to Jack's authority. Perhaps Wilfred disobeyed an order or questioned a command. Jack may have wanted to make an example of him in front of the others in order to impose his tyrannical will upon them. The implications of this are that firstly, there is no democracy as Jack is a dictator and is not 'collegiate' in his decisions. Secondly, his followers do so out of fear not love or respect. Thirdly, he instills terrror and a bad example of enjoying violence into the younger ones who will grow up to repeat the cycle of the cruel regime.
In Chapter 10, Jack has Wilfred punished by having him tied up and left lying like that for hours. After that, he is beaten. We have no idea why this happens to Wilfred. We have never seen Wilfred before in the book and Robert has no idea why Wilfred is being punished.
To me, the implication here is that Jack has become a complete tyrant. He is willing to rule brutally and kind of on a whim. He has kids tied and beaten for no apparent reason. This shows how far his power has corrupted him and how little he cares for morality.