Question

Due pcior to clas s discussion 19 Consider the folowing ame A 213 8.5 6,6 Fad the Na sh egulbrinn in mived strrutegies

Answer 1

P2 O PI A2, 38,5 E support player 1 chooses A with probability Þ and B with probability (1-P) .. 6,6 4,2 player 2 chooses o with probability q and E with probability (1-9). so, Expeched utility of Pi when chooses A EU, (A) = 2q + 8(1-9) = 8-69 EURI(B) = 6q+4 (1-2) = 4+2q son and EU,(A) = EU, (B) 4+2q = 8-69 on 2q +69=8-4 . 8 9 = 4 - t. q 24/8=/ and l-q=1-1/2 = 1/2. and Expeched utility of P2 when chooses o EU 2(o)= 3p+6(1-P) = 6-3p EU2(E) = 5p+2(1-P) = 2+3 p. and EU 21 o) = EU₂ (6) on 6-3p = 2+3 p on 39 68 = 6-2 P= % = 3 and (1-P) = 1-2% = 1² So, plays mixed stralegy equih - player 1 chooses A with probability / and & weith probability / player 2 chooses o with probability 1/2 and È with probability /