Return to the situation described in Chapter 2 in which Galileo Galilei might be confronted by… 1 answer below »

Return to the situation described in Chapter 2 in which Galileo Galilei might be confronted by the Inquisition. Let us describe what actually transpired. First, Pope Urban VIII referred Galileo to the Inquisition, and he was brought to trial on April 12, 1633. After verbal persuasion from the commissary general of the Inquisition, Galileo confessed that he had gone too far in supporting the Copernican theory in one of his books (even though he hadn’t). Galileo was then given an “examination of intention,” which involves showing the instruments of torture to the accused. The final hearing by the Inquisition was held on June 22, 1633, at which time the 69-year-old Galileo pleaded for mercy because of his “regrettable state of physical unwellness.” With the threat of torture and imprisonment lurking in the background, the Inquisitors forced Galileo to “abjure, curse, and detest” his work. Galileo complied in every way and was convicted and sentenced to life imprisonment and religious penances. Due to his age (and possibly his fame), the sentence was commuted to house arrest. He was allowed to return to his villa near Florence, where he would remain for the last years of his life. That is history, and now we turn to our simple modeling of it. The extensive form game in Figure 2.3 is reproduced here as FIGURE PR8.1.

a. Find all Nash equilibria. (Hint: First derive the strategic form game.)

b. Find all of the subgame perfect Nash equilibria.

c. For each Nash equilibrium that is not a subgame perfect Nash equilibrium, explain why it is not a subgame perfect Nash equilibrium.