A university is contemplating whether to build a new lab or a new theater on campus. The science faculty would rather see a new lab built, and the humanities faculty would prefer a new theater....

A university is contemplating whether to build a new lab or a new theater on campus. The science faculty would rather see a new lab built, and the humanities faculty would prefer a new theater. However, the funding for the project (whichever it may turn out to be) is contingent on unanimous support from the faculty. If there is disagreement, neither project will go forward, leaving each group with no new building and their worst payoff. The meetings of the two separate faculty groups on which proposal to support occur simultaneously, with payoffs given in the following table:

(a) What are the pure-strategy Nash equilibria of this game?

(b) Which game described in this chapter is most similar to this game? Explain your reasoning.