博弈论

以下是引用liweimoon123在2005-11-12 17:46:04的发言：

麻烦大侠能再解释一下

There are three subgame perfect eq. in pure strategy:

Sj={b} St={b in b, d in d, k in k}

Sj={d} St={b in b, d in d, k in k}

Sj={k} St={b in b, d in d, k in k}

的含义吗？谢谢

Sj means Jerry's strategy, St means Tom's strategy.

The implication of Sj={b} means Jerry's strategy is to hide in bedroom.

St={b in b, d in d, k in k} means Tom's strategy is to search bedroom when Jerry hides in bedroom, to search den when Jerry hides in den, to search kitchen when Jerry hides in kitchen.

Note that strategy is a complete description of every information set, i.e. it must specifies the action in each information set!

So Tom must have 27 different strategies in question (a).

could you please tell me the differences between subgame perfect equilibria and pure-stratery subgame perfect equilibria?

As the name is, the pure-strategy subgame perfect eq. is the subgame perfect eq. in pure strategies. But the subgame perfect eq. should consider the mixed strategies as well.

谢谢大侠。这样的话，第二问中:how many pure-strategy subgame perfect equilibrium are theere? 应该是6个呢，还是24个。

I've given the right answer!