Tafsiran Ester 5:4: Rashi & Tze'enah Ure'enah

Let his majesty and Haman attend. Our Rabbis listed many reasons for the matter.⁴Ibid. What did Esther see [i.e., what motivated her] to invite Haman? In order to make the king and the princes jealous of him, [or], so that the king should think that he desired her and kill him; and many other reasons.⁵Another reason given is that she felt that the Jews would rely on her influence with the king rather than on G. She therefore created the impression that she abandoned them in favor of Haman, so that they would concentrate fully on prayer and penitence. (Megillah 15b)

At the feast. Every feast is called מִשְׁתֶּה on account of the wine, which is the principal feature.

“Let your Majesty and Haman come to the banquet” [5:4]. Esther said to the king: I invite you and Haman to the banquet today. Our sages say: in the expectation that the other ministers would envy Haman and hate him. Another explanation is that Esther thought, since I will have only invited Haman with the king, the king might suspect that Haman is having an adulterous affair and will have both Haman and me killed. I desire that Haman should also be killed and perhaps Israel will have some rest from Haman.⁴⁰B. Megillah, 15b. One asks a question. Why does it not say at the first invitation to the banquet that Esther should say to the king, if I have found favor in your eyes, come to the banquet? The second time that Esther invited them it is written, if I have found favor in your eyes, come to the banquet. The explanation is that Esther was alone with the king at the first invitation. Therefore, she did not say, if I have found favor in your eyes, since she did not want to arouse his inclination so that he should not sleep with her. At the second invitation, Esther was at the banquet and Haman and other ministers were also present. That is why Esther invited him with, if I have found favor in your eyes, come tomorrow to the banquet with Haman. She was not afraid that the king would become aroused, since there were other people at the banquet. One asks another question. Why did Esther not say about Haman at the banquet that he wanted to destroy Israel? The explanation is that Esther thought to herself. I must get the king drunk in the hope that he will become angry with Haman. When a person is drunk, his anger is greater. At the first banquet Esther was fasting and said to the king, tomorrow I will drink with you at the next banquet. At the same time, I want to increase my desire and when Esther will also drink she will be able to speak to the king so that he will drink more and become drunk.