Math 111 Matlab Project 3 April 24, 2013 Name: Directions: You must use Matlab (or other program with approval) to com- plete the following problems. You will be graded on correctly setting up the problems and using appropriate Matlab functions to nd the answers. You must submit one le (either a diary le or an .m le) for each problem. 1) Create a payomatrix for R for the following game, then determine two better strategies only changing the stategy for R. Each player has one suit from a deck of cards (A=1, J=11, Q=12, K=13). Each person chooses and reveals one card. If the cards multiply to an even number, R wins the amount on C’s card. Otherwise C wins the amount on R’s card. C’s strategy is A 50%, 3 30%, and 5 20%. R’s initial strategy is 10 50%, 8 30%, and 6 20%. 1
Math 111 Matlab Project 3 April 24, 2013 2) First determine the expected value of the following payomatrix. Then add 5 to each payoamount and redetermine the expected value. Lastly subtract 10 from each payoamount (from the original) and determine the expected value. 2664 1 ??3 0 ??1 1 5 5 ??3 ??2 ??1 5 ??2 3775 R’s strategy :2 :35 :25 :2 C’s strategy 24 :2 :3 :5 35 2
Math 111 Matlab Project 3 April 24, 2013 3) You start a savings account that earns 4% interest compounded quaterly and plan to add $1000 per quarter. Determine your account balance for the rst 5 quarters. Then compare your result with the result from the formula. 3