Some implications of anarchy for the distribution of property

A model of an anarchistic society is introduced and its implications for the distribution of income are considered. The economy is assumed to allocate one unit of an all-purpose completely divisible good to each individual in society. This initial distribution of income is changed through theft into a final distribution. The notion of equilibrium is introduced and the equilibrium distribution for a two-person example is displayed. Finally, the notion of orderly anarchy is discussed. An orderly anarchistic allocation of income is defined to be a distribution of income in which no effort is spent in stealing property from others. It is shown that every allocation in the core is an orderly anarchistic allocation and that the core is nonempty.