Date: Tue, 5 Dec 2006 11:12:01 EST Subject: Midterm 3 answers Saddle point. Value of game is 5 Value of game is 9/5. Optimal strategy for row player is [ 4/5, 0, 0, 1/5, 0 ]T. Optimal strategy for column player is [ 1/5, 4/5, 0, 0, 0, 0, 0 ]. Value of game is 10/9. Optimal strategy for row player is [ 0, 2/9, 7/9 ]T. Optimal strategy for column player is [ 0, 5/9, 0, 4/9 ]. Value of game is 41/13. Optimal strategy for row player is [ 6/13, 3/13, 4/13 ]T. Optimal strategy for column player is [ 3/13, 8/13, 2/ 13, 0, 0, 0, 0, 0 ]. Mean = 4.4, midrange = 4.5, central value = 4.5 Benjamin Hvostal MATH 484 Section 1, Midterm 3 --------- Subject: MATH 484 Midterm 3 Section 1 Answers Date: Tue, 5 Dec 2006 11:12:32 -0500 1. Saddle point. Value of game is 5 2. Value of game is 9/5. Optimal strategy for row player is [ 4/5, 0, 0, 1/5, 0 ]T. Optimal strategy for column player is [ 1/5, 4/5, 0, 0, 0, 0, 0 ]. 3. Value of game is 10/9. Optimal strategy for row player is [ 0, 2/9, 7/9 ]T. Optimal strategy for column player is [ 0, 5/9, 0, 4/9 ]. 4. Value of game is 41/13. Optimal strategy for row player is [ 6/13, 3/13, 4/13 ]T. Optimal strategy for column player is [ 3/13, 8/13, 2/ 13, 0, 0, 0, 0, 0 ]. 5. Mean = 4.4, midrange = 4.5, central value = 4.5 Benjamin Hvostal MATH 484 Section 1, Midterm 3 ---------- Date: Tue, 5 Dec 2006 11:32:11 -0500 Subject: Math 484 Section 1 Test Answers From: "CORY ALLEN BREAM" Number 1 value of game = 5 Number 2 value of game = 9/5 optimal strategy for row player = [4/5, 0, 0, 1/5, 0] optimal strategy for column player = [1/5, 4/5, 0, 0, 0] Number 3 value of game = 10/9 optimal strategy for row player = [0, 2/9, 7/9] optimal strategy for column player = [0, 5/9, 0, 4/9] Number 4 value of game = 41/13 optimal strategy for row player = [6/13, 3/13, 4/13] optimal strategy for column player = [3/13, 8/13, 2/13, 0, 0, 0, 0, 0] Number 5 mean = 4.4 midrange = 4.5 central value (median) = 4.5 ---------- Date: Tue, 5 Dec 2006 13:17:07 -0500 Subject: Math 484 Midterm 3 Section 1 Answers From: "CORY ALLEN BREAM" Number 1 value of game = 5 optimal strategy for row player = [0, 0, 1, 0, 0, 0] optimal strategy for column player = [1, 0 ,0 ,0, 0, 0, 0] Number 2 value of game = 9/5 optimal strategy for row player = [4, 0, 0, 1, 0]/5 optimal strategy for column player = [1, 4, 0, 0, 0, 0, 0]/5 Number 3 value of game = 10/9 optimal strategy for row player = [0, 2, 7]/9 optimal strategy for column player = [0, 5, 0, 4]/9 Number 4 value of game = 41/13 optimal strategy for row player = [6, 3, 4]/13 optimal strategy for column player = [3, 8, 2, 0, 0, 0, 0, 0]/13 Number 5 mean = 4.4 midrange =4.5 central value = 4.5 ---------------