You are Manfred the Magician, and you can cast three kinds of spells: sleep spel
ID: 2972025 • Letter: Y
Question
You are Manfred the Magician, and you can cast three kinds of spells: sleep spells, immobilization spells and mind-wipe spells. You are confronted by your dreadful rival, Mazdrud the Feared, who is capable of invoking four kinds of shields: a camouflage sheild that blocks all but your mind-wipe spell (against which it is useless), an invisibility shield that gives him even odds against each of your spells, a heavy duty shield that blocks immobilization shields, is no use against sleep spells, and gives him even odds against mind-wipe spells, and an all-purpose shield, which gives him even odds against yuor sleep spell, but is useless against the other two
a) determine the payoff matrix for this game
b) assuming you can only cast one of your spells, and that you will lose the battle if your spell is blocked, which should you employ?
c) what are your optimal strategies? what are your opponent's optimal strategies?
d) what is the value of this game? is this a fair game?
Please help and show all work. I will rate LIFESAVER if you can answer and show work. If you can, please upload a picture. Thank you =]
Explanation / Answer
www.scribd.com/doc/48135861/GameTheory
this will help you a lot there is lot of required and essential theory it
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