當賣家想要在市場上開一家新店時，他必須做幾件決定支持他的企業，為了盡可能賺取高利潤而必須決定他的商店位置，以及產品多樣性在我們的日常生活中，我們通常會看到同一地區的一群銷售者出售相似產品。通常，消費者更喜歡去有多家店舖的地區而不是只提供一家特定商店的地區，因為商店與商店的位置靠近，因此不需要招致大量的搜索成本。在每家商店內，賣家會決定銷售多少種產品，一些消費者非常喜歡看到多種產品選擇，而一些消費者可能會在選擇產品時感到困惑。為了解決賣方的決定問題，我們開發消費者的模型盈餘找到最佳的位置和產品數量以提供最大的利潤。我們使用該模型來分析與群集相關的各種情況以及產品多樣性效應。基於特定的參數設置，結果表明集群效應可以增加消費者的剩餘，使賣方更喜歡在現有商店旁邊開店以獲得更多消費者。同時產品多樣性，結果表明存在一範圍的最優解決方案，意味著提供太多產品種類對賣方無益，另一方面若提供過少產品種類會使商店對消費者購買的吸引力下降。;When seller wants to open a new store in the market, he has to make several decisions to support his business, some of the important decisions are the position of his store and the number of product variety he wants to offer in order to earn profit as high as possible. In our everyday life, we commonly see a group of seller who sell the similar product in the same area. Usually, consumers are prefer to go to those kinds of area rather than the area that only provide one particular store because they don’t have to incur a lot of search costs since the location of the stores are close to each other. Within each stores, the seller will decide how many products to be sold. Some consumers are very fond of seeing several options of the products, while some of them might find it confusing to pick one among those options. To address those phenomenon related to the seller’s decision, we develop a model of consumer’s surplus to find the optimal location and number of product to offer which will give maximal profit. We use the model to analyze various cases related to the cluster and product variety effects. Based on the particular selected parameter settings, the result shows that cluster effect can increase consumer’s surplus such that the seller prefer to open the store next to the existing store to gain more consumers. While for the product variety, the result shows that there is a range of the optimal solution which implies that offering too many products will harm the seller while offering too few products will make the store less attractive for the consumers to make a purchase.
