Two players, 1 and 2, have $10 to divide between themselves. Each person names a number of dollars, at most equal to 10. Let x1 and x2 be the amount player 1 names and the amount player 2 names, respectively. If x1+x2≤10 then each player receives the amount of money she names (and the remainder is destroyed). If x1+x2>10, both get $0.
Answer the following questions. (Japanese keyboard users, enter half-width numbers.)
(a) Fill in the blank. How many Nash equilibrium exist? .
(b) Fill in the blank. There exists the Nash equilibrium in which x1+x2>10x1+x2>10. In this equilibrium, one player names _____ and the other names ____
Two Players 1 And 2 Have 10 To Divide Between Themselves Each Person Names A Number Of Dollars At Most Equal To 10 1 (59.33 KiB) Viewed 69 times
Two players, 1 and 2, have \$10 to divide between themselves. Each person names a number of dollars, at most equal to 10. Let ₁ and 2 be the amount player 1 names and the amount player 2 names, respectively. If x₁ + x2 ≤ 10 then each player receives the amount of money she names (and the remainder is destroyed). If x₁ + x2 > 10, both get \$0. Answer the following questions. (Japanese keyboard users, enter half-width numbers.) (a) Fill in the blank. How many Nash equilibrium exist? (b) Fill in the blank. There exists the Nash equilibrium in which x₁ + x2 > 10. In this equilibrium, one player names and the other names
Join a community of subject matter experts. Register for FREE to view solutions, replies, and use search function. Request answer by replying!