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The Relative Utilitarian social choice rule selects the element in which maximizes the utilitarian sum W ( x ) := ∑ i ∈ I w i ( x ) . {\displaystyle W(x):=\sum _{i\in I}w_{i}(x).} As an abstract social choice function, relative utilitarianism has been analyzed by Cao (1982), [ 2 ] Dhillon (1998), [ 3 ] Karni (1998), [ 4 ] Dhillon and ...
Act utilitarianism maintains that an action is right if it maximizes utility; rule utilitarianism maintains that an action is right if it conforms to a rule that maximizes utility. In 1956, Urmson (1953) published an influential article arguing that Mill justified rules on utilitarian principles. [ 53 ]
Implicit utilitarian voting attempts to approximate score voting or the utilitarian rule, even in situations where cardinal utilities are unavailable. The main challenge of implicit utilitarian voting is that rankings do not contain enough information to calculate exact utilities, meaning that maximizing social welfare in all cases is impossible.
Social choice theory is a branch of welfare economics that extends the theory of rational choice to collective decision-making. [1] Social choice studies the behavior of different mathematical procedures (social welfare functions) used to combine individual preferences into a coherent whole.
The utilitarian or Benthamite social welfare function measures social welfare as the total or sum of individual utilities: W = ∑ i = 1 n Y i {\displaystyle W=\sum _{i=1}^{n}Y_{i}} where W {\displaystyle W} is social welfare and Y i {\displaystyle Y_{i}} is the income of individual i {\displaystyle i} among n {\displaystyle n} individuals in ...
In other words, the goal is to find an item allocation satisfying the utilitarian rule. [1] An equivalent problem in the context of combinatorial auctions is called the winner determination problem. In this context, each agent submits a list of bids on sets of items, and the goal is to determine what bid or bids should win, such that the sum of ...
Rule utilitarianism is a form of utilitarianism that says an action is right as it conforms to a rule that leads to the greatest good, or that "the rightness or wrongness of a particular action is a function of the correctness of the rule of which it is an instance". [1]
The egalitarian rule strengthened with the leximin order is often called the leximin rule, to distinguish it from the simpler max-min rule. The leximin rule for social choice was introduced by Amartya Sen in 1970, [ 1 ] and discussed in depth in many later books.