Now suppose that the third hunter joins the game. Assume that Hunter 1 moves first, Hunter 2 moves second, and Hunter 3 moves last and players observe other players’ past moves. It is still the case that at least two hunters are needed to catch a stag and they share the stag evenly. Thus, when three hunters chase a stag, the payoff of each hunter is 20, that is, (Hunter 1, Hunter 2, Hunter 3) = (20, 20, 20). Payoffs for other cases are still the same. For example, if Hunter 1 and Hunter 3 chase a stag and Hunter 2 chases a hare, then their payoffs are (Hunter 1, Hunter 2, Hunter 3) = (30, 25, 30). As another example, Hunter 1 chases a stag and Hunter 2 and Hunter 3 chase hares, then their payoffs are (Hunter 1, Hunter 2, Hunter 3) = (0, 25, 25) because Hunter 1 cannot catch the stag alone. Hunter 3’s problem 1: when both Hunter 1 and Hunter 2 chose to chase a stag, Hunter 3’s best response is .  Hunter 3’s problem 2: when one of Hunter 1 and Hunter 2 chose to chase a stag and the other hunter chose to chase a hare, Hunter 3’s best response is .  Hunter 2 makes a decision after observing Hunter 1’s decision. Moreover, Hunter 2 takes into account of Hunter 3’s response. Hunter 2’s problem 1: when Hunter 1 chose to chase a stag, Hunter 2’s best response is .  Hunter 2’s problem 2: when Hunter 1 chose to chase a hare, Hunter 2’s best response is .  Hunter 1 knows how Hunter 2 and Hunter3 will respond according to Hunter 1’s decision. Hunter 1’s problem: Hunter 1’s best response is .  Therefore, the subgame perfect Nash equilibrium of this game is as follows:Hunter 1 chooses , Hunter 2 chooses , and Hunter 3 chooses . 

In the long run, the market equilibrium output (quantity) increases. 

Identify the AUTHOR of the following passage: Inside there were three hand-carved masks, rust to dark brown, ivory I was sure. Each one was about five inches from crown to chin and three inches from one cheekbone to the other. They were simple images with sloping foreheads and slitted eyes. One was smiling, one possibly feral, and one looked like he was whistling through an O-shaped mouth.

Identify the CHARACTER depicted in the following passage: His face was like the face of a sleep-walker who wakes and sees some horror of his dreams take shape before him. After a moment he muttered, “Wait here, deaf,” and turned and went quickly out of the hall. He was barefooted and in his pajamas. He came back almost at once, plugging something into his ear. He had thrust on the black-rimmed glasses and he was sticking a metal box into the waist-band of his pajamas. This was joined by a cord to the plug in his ear. For an instant the boy had the thought that his head ran by electricity.

Identify the CHARACTER represented in the following passage: “I must say, John, I never expected to find you all so nervous,” _____ said. “I deplore fear in these matters.” She tapped her foot irritably. “You know perfectly well, John, that those who have passed beyond expect to see us happy and smiling; they want to know that we are thinking of them lovingly. The spirits dwelling in this house may be actually suffering because they are aware that you are afraid of them.” 

Identify the AUTHOR of the following passage: “Mam? After you . . .” I can’t bring myself to say it, so, I talk around it. Richie moans. “After, where you going to go?” Richie stops and lists. He’s staring up at the window, his face like a shattered plate; Casper barks off in the distance, a series of high yips. Richie rubs is neck. Mam looks at me and startles like a horse: for her, this means her eyelips jump.

Identify the AUTHOR of the following passage: Insofar as the ruin creates the necessary spatial and temporal conditions for the past to be articulated, then precisely through that gesture the same past prohibits articulation. The tension,  surrounded by an aura of hauntings and spectrality, instils a threshold in the viewer: as much we  attempt to commune with this immediate environment, so there is a sense in being watched by the  environment.

Identify the CHARACTER represented in the following passage: “You must not shake so, master. See, Don Amasa, master always shakes when I shave him. And yet master knows I never yet have drawn blood ”

Identify the AUTHOR of the following passage: A sort of sanctity and awe environed it, owing to the consciousness of absolute and utter loneliness. It was probable that human feet had never before gained this recess, that human eyes had never been fixed upon these gushing waters. The aboriginal inhabitants had no motives to lead them into caves like this, and ponder on the verge of such a precipice. Their successors were still less likely to have wandered hither. Since the birth of this continent, I was probably the first who had deviated thus remotely from the customary paths of men.

Identify the AUTHOR of the following passage: By this time the cable of the San Dominick had been cut; and the fag-end, in lashing out, whipped away the canvas shroud about the beak, suddenly revealing, as the bleached hull swung round towards the open ocean, death for the figurehead, in a human skeleton; chalky comment on the chalked words below, “Follow your leader.”