Classwork 9 1) A cat is trying to catch a mouse. The mouse has two survival strategies: run or hide; the cat has two hunting strategies: ambush or patrol. The table below shows the percentage chance of survival for the mouse under each combination of strategies. Ambush CAT Patrol Run 2 4 MOUSE Hide .8 .6 a) What is the best strategy for the mouse? Explain. b) What is the best strategy for the cat? Explain. c) Which player has a dominated strategy? Which player chooses their strategy based on the Nash equilibrium? 2) Consider the following game. Which decision should each player make? Briefly explain why Player B bz 5 4 b. 8 2 a a. b 7 10 Player A 3) It is the last day before the election, and the democratic and republican senate candidates have to decide where to have their final rallys. The numbers in the table represent the amount the republican candidate's polling will increase by each combination of choices. Which city should each candidate choose and why? Rep # Dem Newark Toms River Trenton Jersey City Newark 0 -15 -8 20 Toms River 30 -5 5 - 10 Trenton 10 -25 0 20 Jersey City 20 20 10 15