Topic: Nash's balance
In a dirt there was an interesting notice. Nash's balance or Why gaz stations stand in steams, and results of fair choices are close to 50/50 we Consider such task: Two dealers sell ice-cream on a beach. A beach from the North on the South, its expansion - 1 km. If agree, they deliver the carts on 1/4 km from both ends of a beach so to clients them will nearby reach and their equal income will be the greatest. It is called "system optimal" or "social Wardrop equilibrium" - social balance. Present that northern dealer () and moved the close to southern (), capturing and the and a part of its clients (3/4 on 1/4). What does ? It moves the cart to beach center, guaranteeing itself half of clients. With does the same. Any change of strategy of one of dealers is unprofitable to it. It also is Nash's Balance: Dial-up of strategy in game for two and more players in which any participant cannot increase a scoring, changing the strategy if other participants of the strategy do not change. More in detail in English. Nash's strategy , why gaz stations and shops often gather in a heap instead of uniformly being arranged on a city. She explains results of fair choices: Each batch advances the program attractive to "the" part of the population (left-right) and for central fluctuating group which, as a rule, and outweighs a rope. Therefore, if an outcome of choices strongly unequal (it is more 55-45) always suspect or , or unequal conditions of candidates, or the strong incompetence of the lost.