(Harold Hotelling’s simple model of product differentiation dates to 1929. Travel cost for consumers is 0.05 cents per kilometre going to and coming back. D’Aspremont et al. The politics version is the median voter theory.) Topic: Hotelling’s model and product differentiation VERY IMPORTANT : do not look at the answers until you have made a VERY serious effort to solve the problem. The product equilibrium consists of min- imum differentiation at equal prices and maximal differentiation when both prices and product positions are considered. Hotelling was the first to use a line segment to represent both the product that is sold and the preferences of the consumers who are buying the products. Put every voter on a line, from right to left; candidates move towards the center. With a little bit of detail added, this model, due to Hotelling, helps clarify the strategic nature of our electoral game. There is a customer at each point of the segment on the interval [0,20]. Horizontal Di erentiation: Hotelling model Each version of the good attached to an "address" in space of pos-sible con gurations. Introduction . This paper applies an unconstrained Hotelling linear city model to study the effects of managerial delegation on the firms’ location/product differentiation level in a duopoly industry. (1979) showed that, because a key calculation in Hotelling’s model is incorrect, the minimum differentiation equilibrium does not exist. Second, because of product differentiation, price changes do not necessarily cause a dramatic movement of consumers from one firm to another. Our model thus features more than two oligopolistic competitors on the Hotelling line. Consider a spatial (Hotelling) model of product differentiation. Like Hotelling's model, each consumer has an ideal product in this dimension at constant prices. Choosing two firms, as most of the theoretical literature which models differentiation à la Hotelling, has substantial analytical advantages due to the implied complete symmetry of the firms. Despite shortcomings of the original model, Hotelling’s key insights endure. In the Hotelling model, customers' preferences are located by points on the same line segment. Their location on this interval is their taste x. Minimum differentiation is obtained when the transportation cost is linear in travel distance. Hotelling’s linear city not well tted to analyze this question because of boundary e ects. Hotelling (1929) claimed that competition in differentiated products results in minimal differenti- ation. 1. dimension (Hauser 1988, p. 79). If you turn to the answers to get clues or help, you are wasting a chance to test how well you are prepared for the exams. I will not give you more practice problems later on. yxop Keywords: Hotelling’s Model; Transportation Cost; Product Differentiation . Product similarity (e.g., the degree to which Burger King and McDonald‘s menus are similar) Political ideology (e.g., the tendency for Republicans and Democrats to move towards the political centre) 29/10/2018 Hotelling's Model 13 Each consumer’s utility depends on quantity ... many products in equilibrium ? The same line is used to represent products. Linear and quadratic forms of transportation cost have been widely used in spatial competition models [1,2]. Enjoy the videos and music you love, upload original content, and share it all with friends, family, and the world on YouTube. Horizontal Product Differentiation: Hotelling Model. Proposing a similar utility function Firm 1 and Firm 2 (price setters firms) located at 0 and kilometre 10 respectively. A customer with taste x who pays p for the product from the firm located at y gets a utility of 40 2|x y] p, and there is always an option of not buying a product at all, which gives a utility of O. 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