Created
March 15, 2012 15:53
-
-
Save joriki/2044911 to your computer and use it in GitHub Desktop.
Brownian Backgammon simulation to test doubling strategies
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
import java.util.Random; | |
public class Question118566 { | |
public static void main (String [] args) { | |
double lambda0 = Double.parseDouble (args [0]); | |
double k0 = Double.parseDouble (args [1]); | |
double lambda1 = Double.parseDouble (args [2]); | |
double k1 = Double.parseDouble (args [3]); | |
int ntrials = 100000; | |
final int L = 100; | |
int sum0 = 0; | |
int sum1 = 0; | |
Random random = new Random (0); | |
for (int n = 0;n < ntrials;n++) { | |
int pos = L / 2; | |
int owner = -1; | |
int value = 1; | |
for (;;) { | |
if (random.nextBoolean ()) | |
pos++; | |
else | |
pos--; | |
if (pos == 0) { | |
sum0 += value; | |
break; | |
} | |
if (pos == L) { | |
sum1 += value; | |
break; | |
} | |
if (owner == -1) { | |
if (pos <= L * (1 - lambda0)) { | |
// player 0 tries to double | |
if (pos <= L * (1 - lambda1)) { | |
// player 1 resigns | |
sum0 += value; | |
break; | |
} | |
// player 1 accepts | |
value *= 2; | |
owner = 1; | |
} | |
else if (pos >= L * lambda1) { | |
// player 1 tries to double | |
if (pos >= L * lambda0) { | |
// player 0 resigns | |
sum1 += value; | |
break; | |
} | |
// player 0 accepts | |
value *= 2; | |
owner = 0; | |
} | |
} | |
else if (owner == 0) { | |
if (pos <= L * (1 - k0)) { | |
// player 0 tries to double | |
if (pos <= L * (1 - k1)) { | |
// player 1 resigns | |
sum0 += value; | |
break; | |
} | |
// player 1 accepts | |
value *= 2; | |
owner = 1; | |
} | |
} | |
else { // owner == 1 | |
if (pos >= L * k1) { | |
// player 1 tries to double | |
if (pos >= L * k0) { | |
// player 0 resigns | |
sum1 += value; | |
break; | |
} | |
// player 0 accepts | |
value *= 2; | |
owner = 0; | |
} | |
} | |
} | |
} | |
System.out.println ("points for 0 : " + sum0); | |
System.out.println ("points for 1 : " + sum1); | |
} | |
} |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment