[問題] 請教一題game theory的題目
現在有兩家早餐公司
一家是 GC 另外一家競爭者是 Big Q
GC現在打算 開發or不開發 新麥片產品
Big Q 也是
GC是產業的領導者 必須決定此產品的價錢
是要aggressively(play tough) or cooperatively (play soft)
以下是firm's profits
第一個數子是 GC's profits
‧ Both firms introduce a new product and GC Corp. plays tough (0,0
Both firms introduce a new product and GC Corp. plays soft (3,3)
‧ Only GC Corp. introduces a new product and GC Corp. plays tough (4,1)
Only GC Corp. introduces a new product and GC Corp. plays soft (7,2)
Only Big Q introduces a new product and GC Corp. plays tough (1,2)
‧ Only Big Q introduces a new product and GC Corp. plays soft (2,7)
Neither firm introduces a new product and GC Corp. plays tough (1,1)
‧ Neither firm introduces a new product and GC Corp. plays soft (5,5)
請問要怎麼把這個問題 用Game tree畫出來呢~需要分析 什麼是 induction/rollback-reasoning 分析
另外 要怎麼找 Nash equilibrium呢??
或是 有類似的題目 可以參考的!! 這題思考好久...不知道怎麼開始
感謝各位~~
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