typewritten thankyou answer all questions in every question

c. (5 pts) You and your friend are playing "Among Us". You are the culprit while your friend has an idea. Your strategy is to either stick closely to your friend or to kill her. On the other hand, your friend can either try to run away from you or accuse you of being the killer. What would be the best strategy for the both of you? Is the dominant strategy for each player the same as the Nash equilibrium? Does the game have a Nash Equilibria? Why or why not? Your friend (innocent) Run-away Accuse Stay close 4 5 You 4 (killer) Kill 7b. (5 pts) There are two Samgyup restaurants in the Black Pink area that will be operational soon. Both of them offer the same package, wherein one meal consists of 5 kinds of meat dishes, unlimited rice, unlimited lettuce, and unlimited side dishes. Samgyup-my-love can sell the package at either Php 850 or Php 750. Meanwhile, Captain Ri-gyupsal can sell the same package at either Php 875 or Php 725. Given the pay-off matrix below (projected revenues), at what prices should each restaurant offer their package? Is the dominant strategy for each player the same as the Nash equilibrium? Why or why not? Samgyup-my-love Php 850 Php 750 Php Php Php 875 1.2M 5M Captain Php Php Ri- 1.2M IM gyupsal Php 725 Php Php 1.2M 3M Php SM Php 3MPart 2 (15 pts): Answer the following Games below: a. (5 pts) You and your friends are playing "Patintero". You are the only one remaining in your team and you find yourself stuck in one of the squares where your crush is the one guarding you. You are tempted to just throw your arms into him or avoid him and the win the game. On the other hand, he also likes you, but he also wants his team to win. So, he can either catch you or let you "slip" away. But you both are very competitive, but is winning in patintero more important than winning in love? Identify the dominant strategy and the Nash equilibrium given the pay-off matrix below. Is the dominant strategy for each player the same as the Nash equilibrium? Why or why not? Your crush Try to catch you Let you "slip" (win) away(lose) Slip past (win) 7 4 10 6 You Throw yourself in 5 4 his arms (lose) 9 12