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Auctions are important market mechanisms for the allocation of goods and services. In the paper a complex trading model is proposed. The proposed model, called multidimensional auction, is a generalization of an LP model of standard single item English auction. Multidimensional auctions include the possibility of auction generalization for multi-item, multi-type, multi-round and multi-criteria. The multi-item model for multi-type auction is modelled and solved by multi-round approach with multiple criteria. The proposed model illustrates the possibility to formulate and solve multidimensional auctions as mathematical programming problems. Allowing bidders more fully to express preferences leads to improved economic efficiency and greater auction revenue.
EN
Rembrandt's painting 'Anna and Simeon in the Temple' is one of the most valuable artworks ever to have been in Latvia. Under the title of 'Hannah und Simeon im Tempel', it is now part of the collection of the Hamburger Kunsthalle. The painting was made between 1627 and 1628 but in 1632 it was in the collection of Netherlands Stadhoulder Frederick Hendrick in The Hague. In 1735 it was sold at the auction of Marinus de Jeude's collection in The Hague. The artwork moved to Paris, firstly to the Count de Lassay collection but in 1771 it was sold at the auction of Count de la Guiche's collection. The very same year it was sold at the auction of the collection of its new owner, Count Jean du Barry. The painting then moved from Jean Baptiste Lebrun's antique art shop to Everard Georg van Tindinghorste's collection. Peter, the Duke of Courland, bought it at the auction of the van Tindinghorste property in Amsterdam in 1777. So Rembrandt's painting has been in Latvia between 1777 and 1795 when Duke Peter abdicated and moved furnishings from six palaces in Courland to his properties in Sagan, Nahod and Berlin. After Duke Peter's death in 1800 the most of his collection of paintings remained in Sagan Palace, which had been inherited by his eldest daughter Wilhelmine. She died in 1839 and left the Sagan property to her sister Pauline. In 1800 she had married Friedrich Hermann, successor to the throne of Hohenzollern-Hechingen, but their son, Friedrich Wilhelm (Constantin), the last reigning Prince of Hohenzollern-Hechingen, sold the Sagan property in 1843 to his mother's sister, the Duchess Dorothée de Talleyrand. In 1846 the catalogue of the Sagan Palace picture gallery was compiled and included Rembrandt's work.
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