Question

Questions 7-10 For each of the following games, please identify the Nash equilibrium or equilibria. (There may be none, or multiple). Note: assume the payoffs in the boxes are "positive"- i.e. higher numbers represent better payoffs. Player 2 Strategy Strategy #2 ii Player 2 Strategy Strategy #1 #1 # 2 R 50 20 Strategy 15 20 100 Strategy 70 20 #1 #1 10 10 20 5 Strategy Strategy 70 Player 2 Strategy Strategy #1 60 100 #2 15 Player 2 Strategy Strategy #1 #2 iv #2 #2 10 Strategy 15 Strategy 40 20 40 #1 #1 80 20 20 50 60 Strategy Strategy 10 30 25 #2 #2 For game (i), which of the following are Nash Equilibria? 7. A. A only B. B only C. Conly D. Donly E. A& B F. A&C G. A&D H. B& D None I. Player 1 Player 1 70 Player 1 Player 1 30 30

Answer 1

7 for game i strategy #2 a strictly dominates strategy #1 as 100x20 and 570. So, both players always choose shahegy 2. and nash equilibrium only be Am D Donly I 14 In this game there is no pure stahegy hash equilibrium players have incentiu to deviate from each positron, cophen I) None

a for game (11) If player 1 chooses strategy #1 then- player 2 will choose sharlegy # 1 as uox 15, Similarly when player a chooses strategy #1 player 1 will choose strahegy #1 as 80770, So A is a nash equilibrium. a when player 1 chooses strategy #2, player, 2 cuill chooseo stahegy #2 as 60 x 10 and when plays a chooses strategy #2, player 1. auill choose strategy #2 So, 25720, So Dis also a hash equilibrium Ans an> A & D

107 for game in player a nd has strictly dominant strategy which is strategy #2 will choose this By knowing player 1 cuill choose stalegy #1 stalegy #1 as 407 30! so, nosh equa is B And By Bonly