Prof. Theo Driessen 為Ph.D. in Mathematics, University of Niijmegen (1985)。 現任教於 Department of Applied Mathematics, University of Twente。 其主要研究領域為Game Theory and Economics Theory。
2005/04/22
研討會日期 : 2005-04-22
時間 : 15:00
主講人 : Prof. Theo Driessen
地點 : B棟110室
演講者簡介 : Prof. Theo Driessen 為Ph.D. in Mathematics, University of Niijmegen (1985)。
現任教於 Department of Applied Mathematics, University of Twente。
其主要研究領域為Game Theory and Economics Theory。
演講摘要 : The introductory part of cooperative game theory focuses on the well-known solution concept called the Shapley value. It is known that the Shapley value can be represented by an additive potential function P in the sense that the additive marginal potential contribution DP equals the Shapley value of a player in the cooperative game.
A two-fold generalized theory will be discussed. On one hand, the Shapley value may be replaced by any solution with a potential representation. On the other hand, the additive structure may be replaced by the multiplicative structure, or, more general, a group structure (from algebra).