Strategically Equivalent Games
Strategically equivalent games are games with the same optimal strategies.
For example, games with payoff matrices (aij) and
¨ (aij+k), where k is a constant
¨ (kaij), where k is any positive constant
are strategically equivalent.
If the value of the game with the payoff matrix (aij) is v, the value of the games with the payoffs matrices (aij+k), (kaij) is v+k, kv, respectively.
It can be shown that constant-sum games and zero-sum games are strategically equivalent, too.