[考題] 102國營企管 專B 經濟學考題
這是剛考完的國營經濟學考題
覺得這題蠻有趣的 也值得探討
我把題目貼上來 分享給沒考國營的同學、板友
專B-經濟考題(六)
假設餅市場只有A、B兩廠商,面對之需求分別為 Pa=200-2Qa-Qb Pb=100-2Qb-Qa
其成本函數分別為TCa=50Qa+350 TCb=30Qb+120
A廠推出"天長地久"禮盒以搶攻75%市佔為目標,
B廠推出"天作之合"以追求利潤極大為目標,
請問兩家廠商均達成設定目標,A、B廠的利潤如何??
(1)我的解法
考試時我用Qa=3Qb代入 廠商B的利潤函數
再一階微分求"利潤b"極大 算出來 Qa=21 Qb=7 再分別求利潤
會這樣算是因為讀過謝登隆個經課本,
裡面有提到"一廠追求市佔率另一廠追求利潤極大"模型是這樣算的
課本中也沒啥leader-follower的假設
這是我很久以前讀的 當時沒想太多
(2)前面考試心得文的推文中有同學們算Qa=30 Qb=10
他們的觀點是:
(1)的算法是leader-follower 且把frim B當成leader
此題沒特別提及何者為leader等假設
應用follower-follower
即把 Qa=3Qb當成 firm A的反應式,
再與Max"利潤b"所求出之"firm B反應式"聯立
得出Qa=30 Qb=10
看完後重新思考這個問題,覺得頗有道理
前篇推文似乎尚無定論,希望高手繼續賜教
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