1.For each strategic interaction described below perform following tasks. Before solving the question, check if IDSDS method is applicable to simplify the game.

I. Write players expected payoffs from using their pure strategies.

II. Find all Nash equilibria (in pure and mixed strategies). Clearly show your mathematical derivations of mixed strategy Nash equilibrium profile (use lecture slides for some examples of derivation).

III. Draw the graphs of best response functions (BRF) of the players (for parts a c). Do not forget to label the graphs (axis and BRFs).

PROBLEMS A , B , and C & ALL OF THEIR TABLES are listed below in the attached image:

C: "Lets assume that a driver has two strategies when she is driving on street A: 80 mph and 65 mph. On any given day, state police officer patrols either street A or B. The speed limit on both streets is 65 mph. Strategic behavior between these two players is described in the table below. "

PLEASE HELP ME. YOU CAN TAKE YOUR TIME, NO RUSH.

1. For each strategic interaction described below perform following tasks. Before solving the question, check if IDSDS method is applicable to simplify the game. i. Write players' expected payoffs from using their pure strategies. ii. Find all Nash equilibria (in pure and mixed strategies). Clearly show your mathematical derivations of mixed strategy Nash equilibrium profile (use lecture slides for some examples of derivation). Draw the graphs of best response functions (BRF) of the players (for only parts a - d). Do not forget to label the graphs (axis and BRFs). iii. a. Player 2 D C A 50,50 80,20 Player 1 B 90,10 20,80 b. Player 2 D A 5,6 4,7 Player 1 B 4,4 4,3 C. Let's assume that a driver has two strategies when she is driving on street A: 80 mph and 65 mph. On any given day, state police officer patrols either street A or B. The speed limit on both streets is 65 mph. Strategic behavior between these two players is described in the table below. State police officer Patrol street A Patrol street B 80 mph 10,100 70,50 Driver 65 mph 40,20 40,50 1. For each strategic interaction described below perform following tasks. Before solving the question, check if IDSDS method is applicable to simplify the game. i. Write players' expected payoffs from using their pure strategies. ii. Find all Nash equilibria (in pure and mixed strategies). Clearly show your mathematical derivations of mixed strategy Nash equilibrium profile (use lecture slides for some examples of derivation). Draw the graphs of best response functions (BRF) of the players (for only parts a - d). Do not forget to label the graphs (axis and BRFs). iii. a. Player 2 D C A 50,50 80,20 Player 1 B 90,10 20,80 b. Player 2 D A 5,6 4,7 Player 1 B 4,4 4,3 C. Let's assume that a driver has two strategies when she is driving on street A: 80 mph and 65 mph. On any given day, state police officer patrols either street A or B. The speed limit on both streets is 65 mph. Strategic behavior between these two players is described in the table below. State police officer Patrol street A Patrol street B 80 mph 10,100 70,50 Driver 65 mph 40,20 40,50