To run or not?: some dynamic programming models in cricket

In cricket, batsmen change ends when they score a run and at the end of an over. By scoring an odd or even number of runs, the two batsmen also determine which of them will face the next ball. It may be worthwhile for the batsmen to refuse a run to protect the weaker batsmen. They can also choose to bat aggressively or defensively, which alters their chance of scoring runs and being dismissed. Some DP models are used to analyse the strategy to maximise the number of runs scored.