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О задаче монополиста и двойственной к ней
Математические заметки. 2023. Т. 114. № 2. С. 181–194.
Bogachev T., Kolesnikov A.
In this paper, we study the functional ΦΦ that arises in numerous economic applications, in particular, in the monopolist problem. A special feature of these problems is that the domains of such functionals are nonclassical (in our case, increasing convex functions). We use an appropriate minimax theorem to prove the duality relation for ΦΦ. In particular, an important corollary is obtained stating that the dual functional (defined on a space of measures and known as the “Beckmann functional) attains its minimum. The present approach also provides simpler proofs of some previously known results.
Keywords: Linear programmingлинейное программированиеДизайн аукционовauction designmonopolist problemЗадача монополиста
Publication based on the results of:
М.: Издательский дом НИУ ВШЭ, 2026.
В сборнике представлены отобранные оргкомитетом труды участников 17-й Международной научно-практической конференции студентов и аспирантов «Статистические методы анализа экономики и общества» из России, Армении, Беларуси и Китая, представляющих 27 вузов из 16 городов: Москва, Владивосток, Ереван, Йошкар-Ола, Минск, Новосибирск, Оренбург, Ростов-на-Дону, Санкт-Петербург, Саранск, Саратов, Севастополь, Уфа, Шахты, Шэньчжэнь, Электросталь.
Исследования посвящены вопросам статистической методологии, применению математико-статистических и ...
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Vorontsova T., М.: Академия, 2025.
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