In fair division problems, spite is a phenomenon that occurs when a player's value of an allocation decreases when one or more other players' valuation increases. Thus, other things being equal, a player exhibiting spite will prefer an allocation in which other players receive less than more (if more of the good is desirable).
In this language, spite is difficult to analyze because one has to assess two sets of preferences. For example, in the divide and choose method, a spiteful player would have to make a trade-off between depriving his opponent of cake, and getting more himself.
Within the field of social evolution, spite is used to describe those social behaviors that have a negative impact on both the actor and recipient(s). Spite can be favored by kin selection when: (a) it leads to an indirect benefit to some third party that is sufficiently related to the actor (Wilsonian spite); or (b) when it is directed primarily at negatively related individuals (Hamiltonian spite). Negative relatedness occurs when two individuals are less related than average.
Read more about Spite: In Game Theory, In Industrial Relations, See Also
Famous quotes containing the word spite:
“Let fame, that all hunt after in their lives,
Live registered upon our brazen tombs,
And then grace us in the disgrace of death;
When spite of cormorant devouring Time,
Th endeavor of this present breath may buy
That honor which shall bate his scythes keen edge,
And make us heirs of all eternity.”
—William Shakespeare (15641616)
“He might have been the dream of a ghost
In spite of the way his tail had smacked
My floor so hard and matter-of-fact.”
—Robert Frost (18741963)
“[Christianity] existed and flourishes, not only without the support of human laws, but in spite of every opposition from them.”
—James Madison (17511836)