The paradox of voting, also called Downs' paradox, is that for a
rational, self-interested voter, the costs of voting will normally exceed the expected benefits. Because the chance of exercising the pivotal vote is minuscule compared to any realistic estimate of the private individual benefits of the different possible outcomes, the expected benefits of voting are less than the costs.
Responses to the paradox have included the view that voters vote to express their preference for a candidate rather than affect the outcome of the election, that
voters exercise some degree of altruism, or that the paradox ignores the collateral benefits associated with voting besides the resulting electoral outcome.
History of scholarship
The issue was noted by
Nicolas de Condorcet
Marie Jean Antoine Nicolas de Caritat, Marquis of Condorcet (; 17 September 1743 – 29 March 1794), known as Nicolas de Condorcet, was a French philosopher and mathematician. His ideas, including support for a liberal economy, free and equal pu ...
in 1793 when he stated, "In single-stage elections, where there are a great many voters, each voter's influence is very small. It is therefore possible that the citizens will not be sufficiently interested
o vote and "... we know that this interest
hich voters have in an electionmust decrease with each individual's
.e. voter'sinfluence on the election and as the number of voters increases."
In 1821,
Hegel
Georg Wilhelm Friedrich Hegel (; ; 27 August 1770 – 14 November 1831) was a German philosopher. He is one of the most important figures in German idealism and one of the founding figures of modern Western philosophy. His influence extends a ...
made a similar observation in his ''
Elements of the Philosophy of Right
''Elements of the Philosophy of Right'' (german: Grundlinien der Philosophie des Rechts) is a work by Georg Wilhelm Friedrich Hegel published in 1820, though the book's original title page dates it to 1821. Hegel's most mature statement of his ...
'': "As for popular suffrage, it may be further remarked that especially in large states it leads inevitably to electoral indifference, since the casting of a single vote is of no significance where there is a multitude of electors."
The mathematician Charles L. Dodgson, better known as
Lewis Carroll
Charles Lutwidge Dodgson (; 27 January 1832 – 14 January 1898), better known by his pen name Lewis Carroll, was an English author, poet and mathematician. His most notable works are ''Alice's Adventures in Wonderland'' (1865) and its sequel ...
, published the paper "A Method of Taking Votes on More than Two Issues" in 1876.
This problem in modern
public choice
Public choice, or public choice theory, is "the use of economic tools to deal with traditional problems of political science".Gordon Tullock, The New Palgrave: A Dictionary of Economics, 9872008, "public choice," ''The New Palgrave Dictionar ...
theory was analysed by
Anthony Downs
Anthony Downs (November 21, 1930October 2, 2021) was an American economist specializing in public policy and public administration. His research focuses included political choice theory, rent control, affordable housing, and transportation econ ...
in 1957.
Responses
Alternative responses modify the postulate of
egoistic
Egoism is a philosophy concerned with the role of the self, or , as the motivation and goal of one's own action. Different theories of egoism encompass a range of disparate ideas and can generally be categorized into descriptive or normativ ...
rationality
Rationality is the quality of being guided by or based on reasons. In this regard, a person acts rationally if they have a good reason for what they do or a belief is rational if it is based on strong evidence. This quality can apply to an abil ...
in various ways. For example,
Geoffrey Brennan
Geoffrey Brennan (September 15, 1944–July 29, 2022) was an Australian philosopher. He was professor of philosophy at the University of North Carolina at Chapel Hill, professor of political science at Duke University, and faculty member in the ...
and
Loren Lomasky
Loren E. Lomasky is an American philosopher, formerly the Cory Professor of Political Philosophy, Policy and Law at the University of Virginia.
Biography
Lomasky earned his PhD from the University of Connecticut, and has previously taught at Bo ...
suggest that voters derive "expressive" benefits from supporting particular candidates – analogous to cheering on a sports team – rather than voting in hopes of achieving the political outcomes they prefer. This implies that the rational behavior of voters is restricted to the ''instrumental'' as opposed to the ''intrinsic'' value they derive from their vote.
Another suggestion, known as the
altruism theory of voting
The altruism theory of voting is a model of voter behavior which states that if citizens in a democracy have "social" preferences for the welfare of others, the extremely low probability of a single vote determining an election will be outweighed ...
, is that voters are rational but not fully egoistic. In this view voters have some degree of
altruism
Altruism is the principle and moral practice of concern for the welfare and/or happiness of other human beings or animals, resulting in a quality of life both material and spiritual. It is a traditional virtue in many cultures and a core as ...
, and perceive a benefit if others are benefited. Since an election affects many others, it could still be rational to cast a vote with only a small chance of affecting the outcome.
[Edlin, Aaron, Andrew Gelman, and Noah Kaplan]
"Voting as a Rational Choice: Why and How People Vote To Improve the Well-Being of Others."
''Rationality and Society''. 19.3 (2008): 293–314. Web. 22 Oct. 2012.
Some argue that the paradox appears to ignore the collateral benefits associated with voting, besides affecting the outcome of the vote. For instance, magnitudes of electoral wins and losses are very closely watched by politicians, their aides, pundits and voters, because they indicate the strength of support for candidates, and tend to be viewed as an inherently more accurate measure of such than mere opinion polls (which have to rely on imperfect sampling). Another argument that has been raised, is that researching who or what to vote for may increase the voter's political knowledge and community awareness, both of which may contribute to a general sense of civic duty, although in such a case the act of voting itself contributes nothing to this.
See also
*
Fallacy of composition
The fallacy of composition is an informal fallacy that arises when one infers that something is true of the whole from the fact that it is true of some part of the whole. A trivial example might be: "This tire is made of rubber, therefore the ve ...
* ''
Homo economicus
The term ''Homo economicus'', or economic man, is the portrayal of humans as agents who are consistently rational and narrowly self-interested, and who pursue their subjectively defined ends optimally. It is a word play on ''Homo sapiens'', u ...
''
*
List of close election results
This is a list of close election results on the national level and within administrative divisions. It lists results that have been decided by a margin of less than 1 vote in 1,000 (a margin of less than 0.1 percentage points): single-winner ele ...
*
Majoritarianism
Majoritarianism is a traditional political philosophy or agenda that asserts that a majority (sometimes categorized by religion, language, social class, or some other identifying factor) of the population is entitled to a certain degree of prim ...
*
Rational ignorance
Rational ignorance is refraining from acquiring knowledge when the supposed cost of educating oneself on an issue exceeds the expected potential benefit that the knowledge would provide.
Ignorance about an issue is said to be "rational" when the ...
*
Superrationality
In economics and game theory, a participant is considered to have superrationality (or renormalized rationality) if they have perfect rationality (and thus maximize their utility) but assume that all other players are superrational too and that a s ...
*
Voting system
An electoral system or voting system is a set of rules that determine how elections and referendums are conducted and how their results are determined. Electoral systems are used in politics to elect governments, while non-political elections ma ...
References
{{Decision theory paradoxes
Public choice theory
Elections
1957 introductions
Decision-making paradoxes
Voting theory