Three people choose whether to contribute a fixed amount toward the provision of a public good. The good is provided if and only if at least two of them contribute. If it is not provided, contributions are not refunded. Each person ranks outcomes from the best to worst as follows:
i) Any outcome in which the good is provided and she does not contribute
ii) Any outcome in which the good is provided and she contributes
iii) Any outcome in which the good is not provided and she does not contribute
iv) Any outcome in which the good is not provided and she contributes
Formulate this situation as a strategic game. Represent the game in the form of the payoff matrices and find any and all Nash Equilibria. Show your logic.