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volunteer's dilemma : ウィキペディア英語版
volunteer's dilemma
The volunteer's dilemma game models a situation in which each of X players faces the decision of either making a small sacrifice from which all will benefit, or freeriding.
One example is a scenario in which the electricity has gone out for an entire neighborhood. All inhabitants know that the electricity company will fix the problem as long as at least one person calls to notify them, at some cost. If no one volunteers, the worst possible outcome is obtained for all participants. If any one person elects to volunteer, the rest benefit by not doing so.
A public good is only produced if at least one person volunteers to pay an arbitrary cost. In this game, bystanders decide independently on whether to sacrifice themselves for the benefit of the group. Because the volunteer receives no benefit, there is a greater incentive for freeriding than to sacrifice oneself for the group. If no one volunteers, everyone loses. The social phenomena of the bystander effect and diffusion of responsibility heavily relate to the volunteer’s dilemma.
==Payoff matrix==
The payoff matrix for the game is shown below:
When the volunteer's dilemma takes place between only two players, the game gets the character of the game 'chicken'.
As seen by the payoff matrix, there is no dominant strategy in the volunteer’s dilemma. In a mixed-strategy Nash equilibrium, an increase in N players will decrease the likelihood that at least one person volunteers, which is a result of the bystander effect.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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