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晚上忽然想看看電視有什麼節目時
剛好看到BBC 在演"The Beautiful Mind" 
雖然這部片看了很多次了，但總是在那一幕，當所有老師將筆放在Prof. Nash桌上時，深深的被打動了。
每次看這部片時，心裡總是有一種感觸就是...天才總是讓人難以了解的..
因為他們所看、所思考的視野跟我們永遠都不同..
相對的，他們的內心也是相當寂寞的。
天才總是孤寂的..好加在我不是天才..哈哈
好奇之餘，上網查了一下，數學家 John. Nash的資料..
這一位就是真正的John Forbes. Nash。
The Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel 1994 

這張相片是在1948年拍的
好吧...我必須承認...羅素克洛比較帥...XD
根據數學家John. Nash的個人資料，他目前高齡79歲。
是1928年出生於West Virginia。



這是他66歲時拍攝的。
同年也就是他得到諾貝爾經濟學獎
Nobel Organisation website有他個人資料
想了解的，請進==> Nash Autobiography
基本上他的研究深深影響到近代的經濟、邏輯學等等..

In game theory, the Nash equilibrium (named after John F. Nash, who proposed it) is a solution concept of a game involving two or more players, in which no player has anything to gain by changing only his or her own strategy unilaterally. If each player has chosen a strategy and no player can benefit by changing his or her strategy while the other players keep theirs unchanged, then the current set of strategy choices and the corresponding payoffs constitute a Nash equilibrium. 
source: Wikipedia 

A new treatment is presented of a classical economic problem, one which occurs in many forms, as bargaining, bilateral monopoly, etc. It may also be regarded as a nonzero-sum two-person game. In this treatment a few general assumptions are made concerning the behavior of a single individual and of a group of two individuals in certain economic environments. From these, the solution (in the sense of this paper) of the classical problem may be obtained. In the terms of game theory, values are found for the game.
Source: The bargaining problem 
Econometrica, Vol. 18, No. 2 (Apr., 1950), pp. 155-162
 
好吧...我承認我太無聊了，竟然上wikipedia尋找他的研究出來..
不過我還蠻認同他的說法的，
將Nash Equilibrium放入目前的society來看，是還蠻適合的
以目前的社會經濟體系來評論
個體的理性利益選擇是與整體的理性利益選擇不一致的。
如果以social science 或management research的理論來評論的話
就像是individulism 勝於collectivism. 
個人利益勝於整體利益
如果是以在organisational裡的話，
Leadership則會是最主要的軸心點，當一個組織的leader擁有很強勢的權力時，是否會以為他個人決定，影響到其他的組織之跟進?
但畢竟Nash Equilibrium是數學理論
正式的定義是 

Let (S, f) be a game, where S is the set of startegy profles and f is the set of payoff profiles. Let σ − i be a strategy profile of all players except for player i. When each player i \in \{1, ..., n\} chooses strategy xi resulting in strategy profile x = (x1,...,xn) then player i obtains payoff fi(x). Note that the payoff depends on the strategy profile chosen, i.e. on the strategy chosen by player i as well as the strategies chosen by all the other players. A strategy profile x^* \in S is a Nash equilibrium (NE) if no unilateral deviation in strategy by any single player is profitable, that is

\forall i, f_i(x^*_{i}, x^*_{-i}) \geq f_i(x_{i},x^*_{-i})

A game can have a pure strategy NE or an NE in its mixed extension (that of choosing a pure strategy stochastically with a fixed frequency). Nash proved that, if we allow mixed strategies (players choose strategies randomly according to pre-assigned probabilities), then every n-player game in which every player can choose from finitely many strategies admits at least one Nash equilibrium.
source: wikipedia


有興趣的..可以看看他的一些研究啦..
想跟他請教有關他的研究..也可以寫信問他啦..但會不會回你信就不知啦...
他目前還在 Princenton University 的 Department of Mathematics擔任Senior Research Mathematician ..
Home Page of John F. Nash, Jr.

By the way ..我必須承認..上面那一群數學結構..我完全看不懂..
所以千萬別問我中文是什麼了..因為..問了..我也不懂..
誰叫我數學不好..哈哈

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