Local social decision functions: a survey

Abstract

In Aleskerov (1999) can be found a property that social decision functions are required to satisfy. This property is called locality. In Arrowzs original work it was called independence of irrelevant alternatives. Social Decision functions which satisfy locality are called local social decision functions. Aleskerov (1999) not only contains a state of the art survey of local social decision functions, but several original contributions to the literature as well. However, Aleskerov does not restrict the domain of social decision functions to be profiles of individual rankings. In different characterization of individual rankings as a subset and usually as a strict subset. It is well known in the theory of axiomatic choice theory that a characterization valid on a given domain may fail to hold on a subdomain. Our purpose in this survey is to show that such is not the case with local social decision functions.