Intensity of preference

Intensity of preference, also known as intensity preference,[1] is a term popularized by the work of the economist Kenneth Arrow, who was a co-recipient of the 1972 Nobel Memorial Prize in Economics. This term is used in reference to models for aggregating ordinal rankings.

This term is used in economics, politics, marketing, management science and other areas in which methods to derive the consensus ranking are developed.[2]

In an analysis of voting, for example, the intensity of preference is a measure of an individual voter's (or group of voters') willingness to incur the costs or inconvenience of the act of officially registering a preferential choice at the time and place required, not the vote itself.[3]

Social choices

The "intensity" of preference can be a factor in aggregating individual choices into social choices.[4]

Independence of irrelevant alternatives "... does not rule out "intensity" of preference in making social choices.
(1) "It is part of our definition of a social choice rule/function that the choices are based only on the information in a profile of ordinal preference relations.
(2) "These preference relations do not contain any intensity information that could be used by social choice rules, whether or not they violate the independence axiom."[4]
gollark: But "care deeply" can mean that you feel very strongly about something like "people of the same gender MUST NOT EVER MARRY ÆÆÆÆÆÆÆÆÆÆÆÆA MY TRADITIONA L VALUES", not that you, I don't know, are interested in politics lots and know everyone involved in the government and follow all the parliamentary twitter feeds.
gollark: You see, lots of people are actually really stupid and/or have significantly different values.
gollark: Scarier possibility: what if the people voting for them DO care, a lot, and genuinely think that the people they vote for have better policy or something?
gollark: According to random vaguely plausible things on the internet, our strong reactions to politics are derived from the situation during human evolution, when humans were in small tribes and you could directly affect things and they could strongly and directly affect *you*.
gollark: In local ones you can do more, but nobody cares about those.

See also

Notes
  1. Harvey, Charles M. "Aggregation of individuals' preference intensities into social preference intensity," Social Choice and Welfare, January 1999, Volume 16, Issue 1, pp 65-79; retrieved 2012-12-12.
  2. Cook, Wade D. and Moshe Kress, "Ordinal Ranking with Intensity of Preference," Management Science (US), Vol. 31, No. 1 (Jan., 1985), pp. 26-32.
  3. Arrow, Kenneth J. (1963). Social Choice and Individual Values, p. 114., p. 114, at Google Books
  4. Tulane University: "Proof of Arrow's Impossibility Theorem," citing J. Kelly, Social Choice Theory: An Introduction

References
  • Arrow, Kenneth J. (1951). Social Choice and Individual Values. New York: John Wiley. OCLC 469063398
  • Kelly, Jerry S. (1987). Social Choice Theory: An Introduction. Berlin : Springer-Verlag. ISBN 978-3-540-17634-3; OCLC 475917883


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