This movie was based on the life of John Nash a mathematician and professor of Princeton University. Who also won a Nobel Prize in Economics in 1994. He also suffered from Paranoid Schizophrenia,through his anguish, we gain knowledge of a life with mental illness and how affects every component of his life and those close to himThe movie starts with his early years at Princeton University but he is not very popular around his peers, except for his roommate and friend "Charles". In the part where he is in the Pentagon you can start seeing that he is imagining things, he sees a man that no one else sees so you can see that gradually he is starting to get worse and once he got marry and once his was got pregnant , he developed it at once. His illusion was that he was working for the CIA. It was sad to see him going through the treatments of Electroconvulsive Therapy and to see his wife also suffer to see her husband become a ghost of what he used to be, I can relate to one scene where he does not take his medication, I can understand why. In the movie they don't show much of his therapy but from what I know is very painful for the patient and the family. I think as a wife I would feel also guilty and I think I would also think of divorcing just like Alicia his wife expressed to one of John's friends. The part where he becomes really mentally sick is in the scene where he is wondering and fighting in the hallways and around the campus of the university , this is the scene where you can see him fully insane and people mock him and he does not care because in his mind he sees different people and hear different things, I think this is the part where I really got interested in the movie, how can someone lose all that you were and become the "Joke" of people, I think for John Nash that was really hurtful. You can see him that he had neglected his appearance, he looked dirty and scary, It must be hard to live in a world that only you see and hear. But somehow he...

...In the short span of ten years, John Forbes Nash, Jr. published an astounding fourteen papers relating to such diverse mathematical subjects as game theory, differential equations, parabolic equations, and fluid dynamics. Although Nash is best known for his works in game theory, for which he received the Nobel Prize in economics in 1994, his other mathematical works do deserve investigation. Many argue however, that Nash's theories relating to non-cooperative games are much less significant than those applicable to other mathematical subjects.
In 1950, Nash published Equilibrium points in n-person games. Previous works (by von Newmann and Morganstern) state in non-cooperative games, all results achieve a zero sum. In other words, the theory of von Newmann and Morganstern states that in every non-cooperative game there is a winner and a loser. Nash's theory adds to the previous theory of von Newmann and Morganstern by stating that there does not always need to be a winner and a loser. In fact, it states that in a game each side will attempt to win to the best of his ability. The other player will know this and will attempt to counter the strategy of the other player. Eventually, an equilibrium point (also known as a Nash Equilibrium) will occur in the game, where each player neither wins nor loses.
For example, pretend that there are two car dealers in a small town. Together, they have a monopoly on...

...John Forbes Nash Jr. (born June 13, 1928) is a mathematician who worked in game theory and differential geometry. He shared the 1994 Nobel Prize for economics with two other game theorists, Reinhard Selten and John Harsanyi.
After a promising start to his mathematical career, Nash began to suffer from schizophrenia around his 30th year, an illness from which he has only recovered some 25 years later.
JohnNash was born in Bluefield, West Virginia as son of JohnNash Sr. and Virginia Martin. His father was an electrotechnician; his mother a language teacher. As a young boy he spent much time reading books and experimenting in his room, which he had converted into a laboratory.
From June 1945-June 1948 Nash studied at the Carnegie Institute of Technology in Pittsburgh, intending to become a technical engineer like his father. Instead, he developed a deep love for mathematics and a lifelong interest in subjects such as number theory, Diophantine equations, quantum mechanics and relativity theory. He loved solving problems.
At Carnegie he became interested in the 'negotiation problem', which John von Neumann had left unsolved in his book The Theory of Games and Economic Behavior (1928). He participated in the game theory group there.
From Pittsburgh he went to Princeton University where he worked on his equilibrium theory....

...John Forbes Nash Jr.
Introduction
John Forbes Nash Jr. was born on June 13th of 1928. He has greatly impacted
today’s society with his works in game theory, differential geometry, and partial
differential equations. His theories are used in many aspects of our lives today
such as in economics, computing, evolutionary biology, artificial intelligence,
accounting, politics and in military theory. Within his lifetime Nash has received several
prestigious awards. In 1978 he was awarded the John Von Neumann Theory Prize. In
1994 he and his coworkers Reinhard Selton and John Harsanyi were awarded the Nobel
Memorial Prize in Economic Sciences and he was also awarded the Abel Prize in 2015
for his work on non linear partial differential equations.
John Forbes Nash Jr. was born in Bluefield, West Virginia in 1928 to his father
John Forbes Nash, an electrical engineer for the Appalachian Electric Power Company,
and his mother Margaret Virginia Martin, known as “Virginia”, who was a school
teacher. Nash has one younger sister named Martha. Nash had a very advanced,
education filled childhood learning to read and play piano before the age of three. He
...

...beautiful mind is a great way to describe JohnNash because he was a brilliant person who suffered and fought through Schizophrenia. Nash was born on June 13, 1928, in Bluefield, West Virginia. His father was an electrical engineer for the Appalachian Electric Power Company. His mother, name was Virginia Martin and she had been a schoolteacher before she married. Nash had a younger sister, Martha, born November 16, 1930.Nash attended kindergarten and public school. Nash's parents worked hard to create a challenging learning program for their son's education, and arranged for him to take advanced mathematics courses at a local community college during his final year of high school. Nash attended Carnegie Mellon University with a full scholarship, and the George Westinghouse, which was a scientific/mathematic competition that helped students earn scholarship money. He initially majored in Chemical Engineering. He switched to Chemistry, and eventually to Mathematics. After graduating in 1948 with Bachelor of Science and Master of Science degrees in mathematics, he received a scholarship to Princeton University where he pursued his graduate studies in Mathematics. At Princeton he worked on his equilibrium theory. JohnNash had a bright future ahead of him at Princeton but he did go through some devastating problem which created obstacles, like his mental illness,...

...logic and biology. In game theory, the Nash equilibrium is a solution concept of a non-cooperative game involving two or more players, in which each player is assumed to know the equilibrium strategies of the other players, and no player has anything to gain by changing only their own strategy unilaterally. If each player has chosen a strategy and no player can benefit by changing strategies while the other players keep theirs unchanged, then the current set of strategy choices and the corresponding payoffs constitute Nash equilibrium.
1.1 John Forbes Nash Jr.
John Forbes Nash, Jr. is an American mathematician who was born on June 13, 1928. His works in game theory, differential geometry, and partial differential equations have provided insight into the forces that govern chance and events inside complex systems in daily life. His theories are used in market economics, computing, evolutionary biology, artificial intelligence, accounting, politics and military theory. John Forbes Nash Jr. Nash attended Carnegie Institute of Technology with a full scholarship, the George Westinghouse Scholarship and initially majored in Chemical Engineering. He switched to Chemistry, and eventually to Mathematics. After graduating in 1948 with bachelor of science and master of science degrees in mathematics, he accepted a scholarship to Princeton...

...Nash Equilibrium and Dominant Strategies
Nash Equilibrium is a term used in game theory to describe an equilibrium where each player's strategy is optimal given the strategies of all other players. A Nash Equilibrium exists when there is no unilateral profitable deviation from any of the players involved. In other words, no player in the game would take a different action as long as every other player remains the same. Nash Equilibria are self-enforcing; when players are at a Nash Equilibrium they have no desire to move because they will be worse off.
Necessary Conditions
The following game doesn't have payoffs defined:
L
R
T
a,b
c,d
B
e,f
g,h
In order for (T,L) to be an equilibrium in dominant strategies (which is also a Nash Equilibrium), the following must be true:
a > e
c > g
b > d
f > h
In order for (T,L) to be a Nash Equilibrium, only the following must be true:
a > or = e
b > or = d
Prisoners' Dilemma (Again)
If every player in a game plays his dominant pure strategy (assuming every player has a dominant pure strategy), then the outcome will be a Nash equilibrium. The Prisoners' Dilemma is an excellent example of this. It was reviewed in the introduction, but is worth reviewing again. Here's the game (remember that in the Prisoners' Dilemma, the numbers represent years in prison):
Jack
C
NC
Tom
C
-10,-10
0,-20
NC...

...Security Dilemma the Collective Action Problem and the Nash Equilibrium.
Criticism of the United Nations highlight the lack of power it has and its reliance on superpowers for legitimacy. The use by states of the UN is conditional on whether it serves state self-interest and whether the value of participating outweighs the cost (Abbott and Snidal 2005: 27). This brings into question why states would allow the UN to impose International laws and Norms that erode state sovereignty and how this increases international peace and security. It is seemingly irrational that despite the issue of national sovereignty and individual grievances states are extremely hesitant to leave the United Nations (Diehl 2005:4). The importance of the UN in international peace and security can be explained by the dominance of the ‘security dilemma’ and the connection between realism, rational choice theory and the Nash equilibrium.
The security dilemma is the international predicament that can best be categorized as aiming to reduce the uncertainty of an anarchistic world order (Booth and Wheeler 2009:132). The uncertainty of states actions has led some realist theorists to attempt to find the optimum strategy for mitigating external threats and thus secure its own interests.There are two levels to the security dilemma; the dilemma of interpretation which is attempting to discover what other nations are doing behind closed doors, and the dilemma of response; how...