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Economics NASH EQUILIBRIUM #2 Three male frogs, Kermit, Jeremiah and Croakie, are out in the evening looking for a mate. Each can either call to
Economics NASH EQUILIBRIUM #2 Three male frogs, Kermit, Jeremiah and Croakie, are out in the evening looking for a mate. Each can either call to attract a female or just sit on a lily pad. A frog that calls has a greater chance of attracting a female but it also has a greater chance of being eaten by a predator than a frog that just sits. A frog that sits may be able to encounter a female who has been attracted by some other frog's call; so sitting yields a better payoff when there are more frogs calling. The payoffs are given in the matrices below. For instance, if Kermit and Jeremiah sit while Croakie calls-the action profile (Sit, Sit, Call)-the payoffs are (2, 2, 7). Jeremiah Jeremiah Call Sit Call Sit Call 5,5,5 4, 6, 4 Call 4,4,6 7, 2, 2 Kermit Kermit Sit 6, 4, 4 2, 2, 7 Sit 2, 7, 2 1, 1, 1 Call Sit Croakie Find the Nash equilibrium/ equilibria of this game. (Reminder: A Nash equilibrium is stated in terms of actions, not payoffs!)
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