The use of Nash equilibrium principle and reflect--论文代写范文

51Due论文代写平台assignment代写范文:“The use of Nash equilibrium principle and reflect”，这篇论文主要描述的是如果将纳什均衡理论运用到社会当中我们可以看到的生活对于经济、政治、文化、管理等等日常各方面的博弈现象，这种博弈现象主要是由局中人、参与者、策略等三个因素所组成，可以说博弈学是也属于数学当中的一个分支，在博弈的过程当中，我们需要经常的运用到数学知识和公式来作为支撑自身立场的依据。

From the " Nash equilibrium" in the general sense we can understand the profound common economic , social, political , defense , management and daily life game phenomenon . General game questions posed by the three elements : the choices made by the players , also known as a collection of the parties , participants, policies , etc. , as well as a collection of strategies to win every game and human collections. Which is the so-called win if a specific policy is selected relationship , each of the players of the obtained effect. All games will encounter problems of these three elements .

After all, the mathematical game theory , more specifically, a branch of operations research , natural and ultimately on the road to talk through the language of mathematics , a layman it seems just a bunch of mathematical formulas . Fortunately, game theory is concerned with the daily economic life problems, so can not otherworldly . In fact, with this theory is chess from , etc. , poker and war contest , issues and decision-making nature against the borrowed term sounds a bit mysterious , in fact it has important practical significance. Game Theory Masters look like a game of chess economic and social problems , often blending profound truth in the game. So, more from our everyday life common things start to our side of the story as an example , meanders , not boring. Saying that one day , a rich man was killed at home , belongings stolen. Police in the case of the detection process , caught two suspects , Pascal Faith and that Coors and found the victim 's family lost their belongings from the residence . However, they have killed people denied , arguing that millionaires are first found slain , then just stole something to pilfering . So the police will isolate the two were locked in a different room trial. Talk to each person individually and separately by the local prosecutor. Prosecutors say , "Because you have conclusive evidence of theft crime , so you can be sentenced to one year imprisonment , but I can make a deal with you if you separate crime to kill Frankly , I sentence you to three months only imprisonment , but your accomplices to criminal sentenced to ten years if you refuse to confess , being accomplices to report , then you will be sentenced to ten years sentence , he only sentenced to three months in prison , but if you both confessed , then you should be sentenced to five -year sentence .

" Pascal Faith and the Coors how to do it ? They face a dilemma of choice - confess or deny . Obviously the best strategy is to deny both sides , the result is that we are only sentenced to one year. However, due to the case of two people in isolation can not be collusion .

Therefore, according to Adam Smith 's theory, everyone is starting from the purpose of self-interest , they chose the best strategy confessed . Because confessed can expect to get a short jail --- 3 months, but only associates deny, deny clearly better than their own to take a good 10 years in prison . This strategy is a selfish strategy. Not only that , frankly there are more benefits . If the person confessed while they deny , and then have to sit 10 years in prison. Too uneconomical ! Therefore , in this case , or should choose confessed , even they both confess , at best, only a five-year sentence , was sentenced to 10 years is better than okay . Therefore, a reasonable choice is both frank and beneficial to both the original strategy ( repudiation ) and outcome ( sentenced to 1 year sentence ) does not appear. They have chosen this strategy confess sentenced to five years and therefore the outcome is called " Nash equilibrium" , also called non-cooperative equilibrium. Because each party in the choice of strategies are no " conspiracy" ( collusion ) , they just choose the most advantageous strategy for yourself , regardless of social welfare or interests of any other opponent . In other words , this strategy a combination of all the players ( also known parties , participants ) constitute the best strategy combination .

No one will take the initiative to change their policies so that they have gained greater benefits .

"Prisoner 's Dilemma " has a broad and profound significance. Conflict between individual rationality and collective rationality , each pursuing selfish behavior as a result of the final outcome is a " Nash equilibrium ", is also unfavorable outcome for everyone . Both of them are on the confession and denial strategies first thought themselves so they are bound to serve a long sentence. Only when they are the first for the sake of each other , or mutual collusion ( collusion ) , the minimum time before they can get the results of imprisonment . " Nash equilibrium" first " invisible hand" of Adam Smith 's principle challenge .

According to the theory Smith , in a market economy , everyone is starting from the purpose of self-serving , and ultimately society as a whole to achieve the effect of altruism . Let us remind ourselves of the economics of saints in the " Wealth of Nations " in the saying: "By pursuing ( personal ) self-interest , as he is often more effective in promoting the interests of society than they actually want to do ." From " Nash equilibrium" leads to a paradox of our "invisible hand" principle : from the self-serving purposes , the results of dog in the manger , neither selfish nor altruistic . The fate of the prisoners is the case. In this sense, the " Nash equilibrium" paradox raised shaken in fact the cornerstone of Western economics. Thus , from the " Nash equilibrium" , we can also realize a truth : cooperation is beneficial "selfish strategy ." But it must meet the following golden rule : as you are willing to someone on your way to others , but only if they act in the same way the job . That is, Chinese people say , " Do unto others not do to others ." But only if people do not want to do unto me. Secondly, the " Nash equilibrium" is a non- cooperative game equilibrium , in the case of the reality of China-Africa cooperation than cooperation in general . Therefore, the " Nash equilibrium " is a Von Neumann and Morgenstern cooperative game theory major development , or even a revolution.

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