Question: A game involves two players (Sam and App) and each player has three strategies. The payoffs matrix of the game is as follows: App A
A game involves two players (Sam and App) and each player has three strategies. The payoffs matrix of the game is as follows:
| App | ||||
| A | B | C | ||
| D | (-6, 72) | (-24,18) | (42,12) | |
| Sam | E | (36,12) | (24, -36) | (48,48) |
| F | (90, -42) | (-18,30) | (-30,66) |
(i). What is the best response for Sam when App plays strategy "A"?
(ii). What is the best response for App when Sam plays strategy "F"?
(iii). Is there any dominant strategy for each player?
(iv). Is there a secure strategy for each player?
(vi). In a one-shot game, solve for the Nash Equilibrium of this game.
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