Nash equilibrium
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The form of medicine that arose in fifth-century Greece, associated with the name of Hippocrates and later popularized by Galen, marked a major innovation in the treatment of disease. Unlike supernatural theories of disease, Hippocrates' method involved seeking the causes of illness in natural factors. This method rested upon an analogy between the order of the universe and the composition of the body's "humors." Health, on this view, was ...more
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Building on the general equilibrium setup solved in the last week, this lecture looks in depth at the relationships between productivity, patience, prices, allocations, and nominal and real interest rates. The solutions are given to three of Fisher's famous examples: What happens to interest rates when people become more or less patient? What happens when they expect to receive windfall riches sometime in the future? And, what happens when...more
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In order for Social Security to work, people have to believe there's some possibility that the world will last forever, so that each old generation will have a young generation to support it. The overlapping generations model, invented by Allais and Samuelson but here augmented with land, represents such a situation. Financial equilibrium can again be reduced to general equilibrium. At first glance it would seem that the model requires a s...more
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Using theoretically quasi-static and/or reversible processes to stay pretty much at equilibrium.
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The difference between macrostates and microstates. Thermodynamic equilibrium.
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Le Chatelier's Principle regarding the "stressing" of reactions in equilibrium.
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A probabilistic look at how molecules react to develop the intuition behind the equilibrium constant formula.
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Over time, economists' justifications for why free markets are a good thing have changed. In the first few classes, we saw how under some conditions, the competitive allocation maximizes the sum of agents' utilities. When it was found that this property didn't hold generally, the idea of Pareto efficiency was developed. This class reviews two proofs that equilibrium is Pareto efficient, looking at the arguments of economists Edgeworth and ...more
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Philosophers and theologians have railed against interest for thousands of years. But that is because they didn't understand what causes interest. Irving Fisher built a model of financial equilibrium on top of general equilibrium (GE) by introducing time and assets into the GE model. He saw that trade between apples today and apples next year is completely analogous to trade between apples and oranges today. Similarly he saw that in a worl...more
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Professor Sylvia Ceyer continues her discussion of acid-base equilibrium, diving into buffers. The lecture concludes with the Henderson-Hasselbalch equation and its use in designing a buffer.
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Understanding allele and genotype frequency in population in Hardy-Weinberg Equilibrium.
