{"id":667,"date":"2021-01-28T16:22:11","date_gmt":"2021-01-28T16:22:11","guid":{"rendered":"https:\/\/website.prod.unilu.spikeseed.cloud\/fdef-en\/news\/using-robust-optimisation-to-solve-multi-item-pricing-problems\/"},"modified":"2021-01-28T16:22:11","modified_gmt":"2021-01-28T16:22:11","slug":"using-robust-optimisation-to-solve-multi-item-pricing-problems","status":"publish","type":"news","link":"https:\/\/www.uni.lu\/fdef-en\/news\/using-robust-optimisation-to-solve-multi-item-pricing-problems\/","title":{"rendered":"Using robust optimisation to solve multi-item pricing problems"},"content":{"rendered":"<section class=\"wp-block-unilux-blocks-free-section section\"><div class=\"container xl:max-w-screen-xl\"><p>Mathematical Programming, a top-core journal in TISEM list, has recently featured Assistant Prof. \u00c7a\u011f\u0131l Ko\u00e7yi\u011fit\u2019s latest research on multidimensional pricing. The article \u201cRobust Multidimensional Pricing: Separation without Regret\u201d studies robust multi-item pricing problems over deterministic and randomised sales mechanisms from a mathematical optimisation perspective.<\/p><p>The multi-item pricing problem where multiple items are offered to a single buyer is very difficult because the seller can bundle items into subsets and try to sell them together to increase his or her profit. Unfortunately, the number of possible bundles is exponential in the number of items. Moreover, the seller can even randomise the allocation of items to bundles and randomise the bundle prices. Thus, the set of available sales mechanisms is very rich. In fact, if the distribution of the buyer&#8217;s values for the items is known, then the revenue maximisation problem of the seller is known to be #P-hard even in the simplest settings.<\/p><p>In a collaboration with Prof. Napat Rujeerapaiboon from the National University of Singapore and Prof. Daniel Kuhn from \u00c9cole polytechnique f\u00e9d\u00e9rale de Lausanne, Prof. \u00c7a\u011f\u0131l Ko\u00e7yi\u011fit studies the multi-item pricing problem from a robust optimisation perspective, postulating that the buyer\u2019s values may follow any distribution on a given rectangular uncertainty set. Under this assumption, the authors identify an explicit analytical solution to the mechanism design problem of the seller who wishes to minimise his or her regret. The optimal randomised mechanism as well as the optimal deterministic mechanism sell the goods separately. The main results of the paper thus motivate separate sales of items under lack of information about the demand, which is typically the case for new products.<\/p><p>The paper uses original techniques from robust optimisation. The authors hope that similar techniques can be applied to solve different distributionally robust mechanism design problems.\u00a0\u00a0<\/p><p>The paper is available at:<\/p><a href=\"http:\/\/dx.doi.org\/10.1007\/s10107-021-01615-4\" target=\"_self\" title=\"\" rel=\"noopener\">http:\/\/dx.doi.org\/10.1007\/s10107-021-01615-4<\/a><\/div><\/section>","protected":false},"excerpt":{"rendered":"<p>Mathematical Programming, a top-core journal in TISEM list, has recently featured Assistant Prof. \u00c7a\u011f\u0131l Ko\u00e7yi\u011fit\u2019s latest research on multidimensional pricing. The article \u201cRobust Multidimensional Pricing: Separation without Regret\u201d studies robust multi-item pricing problems over deterministic and randomised sales mechanisms from a mathematical optimisation perspective.<\/p>\n","protected":false},"author":0,"featured_media":668,"template":"","format":"standard","meta":{"featured_image_focal_point":[],"show_featured_caption":false,"ulux_newsletter_groups":"","uluxPostTitle":"","uluxPrePostTitle":"","_trash_the_other_posts":false,"_price":"","_stock":"","_tribe_ticket_header":"","_tribe_default_ticket_provider":"","_tribe_ticket_capacity":"0","_ticket_start_date":"","_ticket_end_date":"","_tribe_ticket_show_description":"","_tribe_ticket_show_not_going":false,"_tribe_ticket_use_global_stock":"","_tribe_ticket_global_stock_level":"","_global_stock_mode":"","_global_stock_cap":"","_tribe_rsvp_for_event":"","_tribe_ticket_going_count":"","_tribe_ticket_not_going_count":"","_tribe_tickets_list":"[]","_tribe_ticket_has_attendee_info_fields":false},"news-category":[4],"news-topic":[11],"organisation":[138,101,145],"authorship":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.3 (Yoast SEO v22.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Using robust optimisation to solve multi-item pricing problems - FDEF news I University of Luxembourg<\/title>\n<meta name=\"description\" content=\"Mathematical Programming, a top-core journal in TISEM list, has recently featured Assistant Prof. \u00c7a\u011f\u0131l Ko\u00e7yi\u011fit\u2019s latest research on multidimensional pricing. 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