一個賽局問題(題目是英文 我懶得翻譯了) - 經濟

今天在整理以前的東西的時候
翻到了以前的賽局理論考卷
這一題讓我在考試的時候想了很久
最後還是放棄做答了
不知道板上的強者是否可以為我說明一下
這一題到底該怎麼解???

Consider a market with 10 firms. Simultaneously and independently, the firms
choose between locating downtown and locating in the suburbs.
The profit of each firm is influenced by the number of other firms
that locate in the same area. Specifically, the profit of a firm that locates
downtown is given by 5n – n2 + 50, where n denotes the number of firms that
locate downtown . Similarly, the profit of a firm that locates in the
suburbs is given by 48 – m, where m denotes the number of firms that locate
in the suburbs. In equilibrium, how many firms locate in each region and
what is the profit of each?

我那時候只有想到一個很基本的觀念
就是如果今天有A和B兩個人 假設其它條件相同
則店家會把店開在A和B的中點
但是這題是兩個不同的地點 且有代數字下去算
不知道我想到的那個觀念可不可以套進來應用??


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