Семинары

22.05.2018. Очередное заседание научного семинара "Математическая экономика"


Очередное заседание семинара "Математическая экономика" (руководители - д.ф.-м.н. В.И.Данилов и академик В.М.Полтерович) состоится

во вторник, 22 мая 2018 г., в 11 часов 30 минут


Программа заседания:

C. Измалков (РЭШ) 

Многомерная модель пространственной конкуренции: обобщение модели линейного города Хотеллинга


Аннотация к докладу


We offer a new model of spatial competition of many firms that naturally extends the Hotelling model with two competing firms on a segment and overcomes deficiencies of existing spatial competition models for 3 or more firms. The key innovation is the notion of distance from customer location (set of ideal product characteristics) to each product. Each firm (its product) is specified by a location in a space of product characteristics and the direction (vector) along which its product is to be evaluated. The distance from any customer to the firm is computed along this direction, as the shortest distance between the firm and the hyperplane orthogonal to the vector and passing through the customer. With this notion we obtain several desirable features. First, for a bounded set of customers, unlike models with Euclidean distance, any product demand for any vector of prices is a convex polyhedron. This means, in particualr, that demands and best responses in prices are easy to compute, interpret, and visualize. Second, we can extend the competition between firms to include lotteries. As in the 2-firm linear Hotelling model, any customer located between the firms obtains the same utility from a 1/2 − 1/2 lottery, in our model any customer in an N − 1-dimensional regular simplex, with N firms located at the vertices and directions pointing to the center, obtains the same utility from a lottery with probability 1/N of receiving each product. Demand for any lottery (given the set of other products and lotteries offered) is also a convex polyhedron. We demonstrate how the model can be applied to analyze cartels and competition of 3 or more firms (where in particular, lotteries do emerge in the outcome).


Семинары проходят в здании ЦЭМИ РАН по адресу:
 Нахимовский проспект 47, 5 этаж, аудитория 520. 

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