Prerequisites: Chapters 1, 2, 8, 4, and 5.

In real life, where rules are not always carved in stone, a player in a simultaneous 2-player game may be able to move a little earlier than the other, or delay slightly until he or she sees what the other player played. If moving earlier is not possible, sometimes you can announce the move you will play, to make a commitment. If the other player believes you, it is as if you have moved first. The simultaneous game is transformed into a sequential game.

There are two roles in the sequentialization of a two-player game, moving first or moving second, and which is preferred is often decided by the temperament of the players. Some like to move first and dictate the action, and others prefer to wait and see what the other has played, concealing their intentions. However, whether it is better to move first or last should not be left to temperament but to an analysis of the game.

In this chapter we discuss the sequential versions of the location games whose simultaneous versions have been discussed in Chapters 4 and 5. In the sequential version, Ann chooses a location first, and after that Beth decides where to put her location.

Will the results differ from those in the simultaneous version? Who will gain from having to move sequentially?