Assignment:
In each of the two strategic-form games whose matrices appear below, find all the equilibria. For each equilibrium, describe a sequence of games with incomplete information in which the amplitude of the noise converges to 0, and find Bayesian equilibria in pure strategies in each of these games, such that when the amplitude of the noise converges to 0, the probability that each of the players will choose a particular action converges to the corresponding probability in the equilibrium of the original game.
Provide complete and step by step solution for the question and show calculations and use formulas.