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雷达卡
楼主读的是pure maths
毕业论文纠结课题中。。希望童鞋们能给点意见
Project description:
Mathematical game theory is a vast subject, with connections from mathematical logic and the foundations of mathematics to mathematical economics (where the behaviour of traders in an economy is like a competitive game). The mathematical theory used ranges from logic, through linear algebra to probability and measure theory. This project would take a look at some of the different kinds of games that have been treated mathematically - including simple two person games like Nim and Hex, infinite games and matrix games which model economic activity. For each type of game there is a body of theory that answers questions like "Is there a winning or optimal strategy for playing the game, and if so what is it?" For matrix games there are two famous theorems - due to von Neumann & Morgenstern, and one that gained the Nobel prize for John Nash (as in the film "A Beautiful Mind"). The project would investigate the theory of various types of game and provide illustrations of how to "solve" them - this is the term for finding the winning or optimal strategies if they exist.
虽然说是game theory
但其实和博弈论感觉不是一个东西
导师给出的要求是 mathematical game theory
就是说还是要很多数学theorem proof的东西的
本科完全没有涉及这方面的知识
因为研究生想读financial maths 所以选了这个题目
感觉上它是侧重让研究solve problem的
但是我不太想写两人游戏那种 还是想做点和经济有关的
搜索文献时候发现大多数还是和经济有关的 数学涉及得很少
所以想问问童鞋们 能不能给点方向意见 或者推荐点资料
比如牵扯到mathematical methods 数学性比较强的课题
自己对这方面不是很了解
先谢过了！
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