Exercises

1. For each pair of players who played the games assigned to your group in Exercise 1 of Discussion 2,
   1. Compute the percentage of time each strategy for player 1 was used.
   2. Compute the percentage of time each strategy for player 2 was used.
   3. Compute the average outcome for the twenty rounds played.
2. For each game, compare the results of Exercise 1 above. For example, which players were more successful, which strategies did they employ most frequently?
3. Consider all of the games assigned to your group.
   1. Were there games in which some strategy was rarely (or never) employed? Can you determine why these strategies were not used by examining the payoff matrix?
   2. Was it ever the case that one (or both ) players decided after several rounds to use only one of their available strategies? Can you determine why this strategy was used by examining the payoff matrix?
4. Consider the games in which players did not settle on a fixed strategy.
   1. Was there a single strategy which they should have chosen to achieve a better overall outcome?
   2. Which combination of strategies chosen by the players led to the best outcome?