Please state whether each of the following statements is true or false. Explain why the true statements are true. Explain why the false statements are false

1. (24 points) Please state whether each of the following statements is true or false. Explain why the true statements are true. Explain why the false statements are false. (a) An extensive form game with perfect information never has more than one subgame perfect equilibrium. (b) A game of perfect information that combines simultaneous and se- quential moves (also called a multistage game) always has at least one subgame perfect equilibrium. (c) In the binary agenda game, an option can be a Condorcet winner even if no member of the committee has it as her most preferred option