Rock-Paper-Scissors is a simple game in which two players compete by simultaneously choosing rock, paper, or scissors. According to the classic rules of the game, paper beats rock, scissors beat paper, and rock beats scissors. After watching one player compete in this game for many rounds, you have observed that she chooses rock, paper, or scissors based on her previous choice according to the following transition probabilities: Future Choice Rock Paper Scissor Current Choice Rock 0.2 0.3 0.5 Paper 0.4 0.1 0.5 Scissor 0.7 0.3 0 Assume you are competing against this player and that you must decide on all future choices now (before seeing any additional opponent choices). a. What is the best strategy that works most of the time to beat your opponent? b. Given the opposing player last chose Rock, what is your best choice in the next round as her opponent ? c. Draw the transition diagram !
Rock-Paper-Scissors is a simple game in which two players compete by simultaneously choosing rock, paper, or scissors. According to the classic rules of the game, paper beats rock, scissors beat paper, and rock beats scissors. After watching one player compete in this game for many rounds, you have observed that she chooses rock, paper, or scissors based on her previous choice according to the following transition probabilities:
|
|
Future Choice |
|||
|
Rock |
Paper |
Scissor |
||
|
Current Choice |
Rock |
0.2 |
0.3 |
0.5 |
|
Paper |
0.4 |
0.1 |
0.5 |
|
|
Scissor |
0.7 |
0.3 |
0 |
Assume you are competing against this player and that you must decide on all future choices now (before seeing any additional opponent choices).
a. What is the best strategy that works most of the time to beat your opponent?
b. Given the opposing player last chose Rock, what is your best choice in the next round as her opponent ?
c. Draw the transition diagram !
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 8 images
