The Stag Hunt and Social Cooperation
Although most authors focus on the prisoner's dilemma as the game that best represents the problem of social cooperation, some authors believe that the stag hunt represents an equally (or more) interesting context in which to study cooperation and its problems (for an overview see Skyrms 2004).
There is a substantial relationship between the stag hunt and the prisoner's dilemma. In biology many circumstances that have been described as prisoner's dilemma might also be interpreted as a stag hunt, depending on how fitness is calculated.
| Cooperate | Defect | |
| Cooperate | 2, 2 | 0, 3 |
| Defect | 3, 0 | 1, 1 |
| Fig. 3: Prisoner's dilemma example | ||
It is also the case that some human interactions that seem like prisoner's dilemmas may in fact be stag hunts. For example, suppose we have a prisoner's dilemma as pictured in Figure 3. The payoff matrix would need adjusting if players who defect against cooperators might be punished for their defection. For instance, if the expected punishment is -2, then the imposition of this punishment turns the above prisoner's dilemma into the stag hunt given at the introduction.
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“Would any but these boiled-brains of nineteen and two-and-twenty hunt this weather?”
—William Shakespeare (1564–1616)
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—Sarah N. Cleghorn (1876–1959)
“We fatuously hoped that we might pluck from the human tragedy itself a consciousness of a common destiny which should bring its own healing, that we might extract from life’s very misfortunes a power of cooperation which should be effective against them.”
—Jane Addams (1860–1935)