Balance theory

In the psychology of motivation, balance theory is a theory of attitude change, proposed by Fritz Heider.[1] It conceptualizes the cognitive consistency motive as a drive toward psychological balance. The consistency motive is the urge to maintain one's values and beliefs over time. Heider proposed that "sentiment" or liking relationships are balanced if the affect valence in a system multiplies out to a positive result.

In social network analysis, balance theory is the extension proposed by Frank Harary and Dorwin Cartwright, and framing the discussion at a Dartmouth University symposium in September 1975.[2]

P-O-X model

Heider's P-O-X model

For example: a Person (P) who likes an Other (O) person will be balanced by the same valence attitude on behalf of the other. Symbolically, P (+) > O and P < (+) O results in psychological balance.

This can be extended to things (X) as well, thus introducing triadic relationships. If a person P likes object X but dislikes other person O, what does P feel upon learning that O created X? This is symbolized as such:

Balance is achieved when there are three positive links or two negatives with one positive. Two positive links and one negative like the example above creates imbalance.

Multiplying the signs shows that the person will perceive imbalance (a negative multiplicative product) in this relationship, and will be motivated to correct the imbalance somehow. The Person can either:

Any of these will result in psychological balance, thus resolving the dilemma and satisfying the drive. (Person P could also avoid object X and other person O entirely, lessening the stress created by psychological imbalance.)

To predict the outcome of a situation using Heider's balance theory, one must weigh the effects of all the potential results, and the one requiring the least amount of effort will be the likely outcome.

Examples

Balance theory is also useful in examining how celebrity endorsement affects consumers' attitudes toward products.[3] If a person likes a celebrity and perceives (due to the endorsement) that said celebrity likes a product, said person will tend to like the product more, in order to achieve psychological balance.

However, if the person already had a dislike for the product being endorsed by the celebrity, they may begin disliking the celebrity, again to achieve psychological balance.

Heider's balance theory can explain why holding the same negative attitudes of others promotes closeness (see The enemy of my enemy is my friend).

Signed graphs and social networks

Frank Harary and Dorwin Cartwright looked at Heider’s triads as 3-cycles in a signed graph. The sign of a path in a graph is the product of the signs of its edges. They considered cycles in a signed graph representing a social network.

A balanced signed graph has only cycles of positive sign.

Harary proved that a balanced graph is polarized, that is, it decomposes into two positive subgraphs that are joined by negative edges.

In the interest of realism, a weaker property was suggested:[4]

No cycle has exactly one negative edge.

Graphs with this property may decompose into more than two positive subgraphs called clusters. The axiom has been called the clusterability axiom.[5] Then balanced graphs are recovered by assuming the

Parsimony axiom: The subgraph of positive edges has at most two components.

The significance of balance theory for social dynamics was expressed by Anatol Rapoport:

The hypothesis implies roughly that attitudes of the group members will tend to change in such a way that one's friends' friends will tend to become one's friends and one's enemies' enemies also one’s friends, and one's enemies' friends and one's friends' enemies will tend to become one's enemies, and moreover, that these changes tend to operate even across several removes (one's friends' friends' enemies' enemies tend become friends by an iterative process).[6]

Note that a triangle of three mutual enemies makes a clusterable graph but not a balanced one. Therefore, in a clusterable network one cannot conclude that the enemy of my enemy is my friend, although this aphorism is a fact in a balanced network.

See also

Notes

  1. ↑ Heider, Fritz (1958). The Psychology of Interpersonal Relations. John Wiley & Sons.
  2. ↑ Paul W. Holland & Samuel Leinhardt (editors) (1979) Perspectives on Social Network Research, Academic Press ISBN 9780123525505
  3. ↑ John C. Mowen and Stephen W. Brown (1981) ,"On Explaining and Predicting the Effectiveness of Celebrity Endorsers", in Advances in Consumer Research Volume 08, eds. Kent B. Monroe, Advances in Consumer Research Volume 08 : Association for Consumer Research, Pages: 437-441.
  4. ↑ James A. Davis (May 1967) "Clustering and structural balance in graphs", Human Relations 20:181–7
  5. ↑ Claude Flament (1979) "Independent generalizations of balance", in Perspectives on Social Network Research
  6. ↑ Anatol Rapoport (1963) "Mathematical models of social interaction", in Handbook of Mathematical Sociology, v. 2, pp 493 to 580, especially 541, editors: R.A. Galanter, R.R. Lace, E. Bush, John Wiley & Sons

References

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