Nash equilibrium: hand cricket

Note: This strategy assumes that every run is of equal value, which may not be true in every case. For example, with one run to win, a 6 is worth as much as a 4.

For bowlers:

Numbers                Probabilities

1                              5.63%
2                             10.65%
3                             15.17%
4                             19.27%
5                             22.44%
6                             26.34%

For batsmen:

Numbers              Probabilities

1                            18.8%
2                            17.8%
3                            16.9%
4                            16.2%
5                            15.5%
6                            14.8%