The traditional model of spatial competition is built on the following assumptions;
(1) There is a single commodity that can be sold at a retail store.
(2) All consumers have a demand curve that is linear in delivered price. These assumptions are unrealistic in retail market, especially in convenience-goods market.
In this paper, I remove these assumptions and construct a new model of spatial competition on more realistic ones. I obtain the percentage profit-margin vector of the retailer, selling multiple commodities, who maximizes his profit. His maximum profit-margin vector is determined by two matrices. One is the price-elasticity matrix which represents the monopolistic effect, the other is the customer-elasticity matrix which represents the competitive effect. Furthermore, it is shown that all maximum profit-margins of commodities are equal.
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