Nash equilibrium

different warfarin derivatives; this was to be determined by comparing the equilibrium constants (Keq) and the Gibbs’ free energies of a number of warfarin derivatives. To study this, four warfarin derivatives were used, namely racemate mixtures of 2’-Fluoro warfarin (2’FW), 3’-Fluoro warfarin (3’FW), (R)-4’-Fluorowarfarin,…

Enzymes are protein molecules that occur in all living things on earth and enable chemical reactions. Enzymes not only provide an alternate pathway for a chemical reaction, with a lower activation energy, they also bring substrates together in an optimal orientation, thereby speeding up the rate of reaction (Slide Share 2016). In an enzyme catalyzed reaction, the substrate (reactant) binds to the active site and forms and intermediate substance known as the enzyme-substrate complex with the…

As it can be seen in the previous figure, the Bubble Column PBR is a simple conceptual design. The figure simply illustrates the basic flow in the column. The gas enters the bottom of the column through a diffuser causing the gas to break into thousands of small bubbles making it easier for the algae to absorb the carbon dioxide in the gas. Once the algae have consumed as much carbon dioxide as it can, it releases oxygen in the form of gas, which leaves the column through the opening in the…

inventiveness, and can-do spirit. (Ch2, Ch4) Because of undeveloped resources, hard work, one of values, is a way to let Americans success. Nowadays, it still deeply affect many famous people, such as Michael Jordan, Thomas Alva Edison, and John Forbes Nash, Jr. and so on. Most people support the view that the basis of success is hard work. In America, the origin of hard work meaning came from the first settles used the only way, “Hard Work”, to let the natural resources that were undeveloped be…

choosing how much to produce. All firms choose output (quantity) simultaneously. The basic Cournot assumption is that each firm chooses its quantity, taking as given the quantity of its rivals. The resulting equilibrium is a Nash equilibrium in quantities, called a Cournot (Nash) equilibrium (OECD, Glossary of Statistical Terms, https://stats.oecd.org/glossary/detail.asp?ID=3183). The price is uniform across the market, and the total quantity produces equals the sum of the quantities produces…

) 〗=0. A Perfect Bayesian Equilibrium is a set of strategies and beliefs that at any stage of the game we have an optimal strategy, conditional on the beliefs that are obtained from the game using Bayes rule. Perfect Bayesian equilibrium is always Nash equilibrium but not the other way around. Given the players beliefs, the strategies must be sequentially, i.e. at each…

John Nash was a brilliant mathematician. He revolutionized the way modern economics is approached with his Nash Equilibrium. Nash also suffered from Paranoid Schizophrenia. It is known that Nash was admitted to various mental institutions and placed on antipsychotics. It is also known that Nash had delusions and heard various “voices” (PBS 2002). Does this constitute the diagnosis of Paranoid Schizophrenia? According to Schizophrenia.com, “Paranoid schizophrenia is the most common type…

winning mathematician John Forbes Nash, Jr. The movie start with John Forbes Nash in graduate school at Princeton University. At Princeton, he meets a group of graduate students and his roommate Charles Herman. John Forbes Nash was one of the two admired Carnegie Scholarship for mathematics winner at Princeton. At Princeton University, John Forbes Nash was one of the two co-recipient of the prestigious scholarship. During his stay at Princeton, John Forbes Nash feel that he is under extreme…

Laureate winner and professor John Nash in his rise, fall, and recovery dealing with schizophrenia. As the film opens, Nash is a genius level student in 1950s America working on applying to graduate school. He is introduced to his roommate, a tall pale guy names Charles. They have a rough start, but eventually warm up to each other as time goes on. The very first time that I realized something was a bit off about Nash, was the scene directly following this where Nash is challenged by one of his…

diploma, and a cash award. The award has been given 573 times to 900 people since 1901. One of those to recieve this coveted award is John Nash, a mathematician. John Nash was born June 13th, 1928 in a former coal town, Bluefield, West Virginia. His parents were intelligent. His mother was a teacher, and his father was an engineer. Even at a young age, Nash was deeply into books and kept much to himself. Later in his childhood, he was one of ten kids to recieve the George Westington Award which…