Two selfish people in "The Great Gatsby" are Tom and Myrtle. Tom and Myrtle, unlike their partners, Daisy and Wilson are very selfish. Tom only wants what is beneficial to him, and so does Myrtle. They don't care about their partners or what they are going through. They only care if they are happy and if everything is going well for them. Tom doesn't care about Daisy's feelings. Tom only cares about Daisy's feelings and what she is doing if there is another man that wants to take her from Tom. For example, Tom only started caring about Daisy when he found out that Daisy and Gatsby were having an affair. For Tom's own selfish reason, because he wanted Daisy all to himself, he started to act like he actually cared for Daisy and that he loved Daisy and that he would never do anything to hurt her.
Also, Myrtle is very selfish. She doesn't care about anyone except herself and what is good for her. She doesn't care about her husband Wilson and his feelings also. The only person that Myrtle wants to be with is Tom, the person who she is having an affair with.(http://www.enotes.com/great-gatsby/q-and-a/wilsons-garage-symbol-isolation-selfishness-66369)