Assume there are three players in a game, Tom, Dick, and Harry, and all three want to meet up at either at the Library or the Student Union, no player knows with certainty where the other two will go, and they will consider their mission a failure if
all three do not meet at the same location. Use a series of "if-then" statements to describe Tom's ideal strategies based on the possible choices of Dick and Harry. Explain if Tom has a dominant strategy?
1. If Dick chooses Library and Harry chooses Library, then Tom should choose Library.
2. If Dick chooses Student Union and Harry chooses Library, then Tom should choose either Library or Student Union.
3. If Dick chooses Library and Harry chooses Student Union, then Tom should choose either Library or Student Union.
4. If Dick chooses Student Union and Harry chooses Student Union, then Tom should choose Student Union.
Tom does not have a dominant strategy because his choice depends on the choices made by the other two players.
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