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:
“Is it possible, after all, that spite of bricks and shaven faces, this world we live in is brimmed with wonders, and I and all mankind, beneath our garbs of common-placeness, conceal enigmas that the stars themselves, and perhaps the highest seraphim can not resolve?”
—Herman Melville (1819–1891)
“Nobody can misunderstand a boy like his own mother.... Mothers at present can bring children into the world, but this performance is apt to mark the end of their capacities. They can’t even attend to the elementary animal requirements of their offspring. It is quite surprising how many children survive in spite of their mothers.”
—Norman Douglas (1868–1952)
“Oh, how desperately bored, in spite of their grim determination to have a Good Time, the majority of pleasure-seekers really are!”
—Aldous Huxley (1894–1963)