Airport problem

Problem in game theory

In mathematics and especially game theory, the airport problem is a type of fair division problem in which it is decided how to distribute the cost of an airport runway among different players who need runways of different lengths. The problem was introduced by S. C. Littlechild and G. Owen in 1973. Their proposed solution is:Divide the cost of providing the minimum level of required facility for the smallest type of aircraft equally among the number of landings of all aircraft Divide the incremental cost of providing the minimum level of required facility for the second smallest type of aircraft equally among the number of landings of all but the smallest type of aircraft. Continue thus until finally the incremental cost of the largest type of aircraft is divided equally among the number of landings made by the largest aircraft type.

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