Two players simultaneously submits an offer for a public good. The offer can be either 2 or 0. The public good is provided if the sum of the offers is at least 2. (i.e. if at least one player offers to pay the cost of the good). Each player i knows his own evaluation vi of the public good. They do

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Two players simultaneously submits an
offer for a public good. The offer can be
either 2 or 0. The public good is provided if
the sum of the offers is at least 2. (i.e. if at
least one player offers to pay the cost of the
good). Each player i knows his own
evaluation vi of the public good. They do
not know the evaluation of the other. They
know that the evaluations can be either 3 or
1 with equal probability Player i's payoff if
the good is provided is vi minus the offer. If
the good is not provided, each individual's
payoff is 0 minus the offer.
a.) Represent this game using the
equivalent normal form.
Transcribed Image Text:Two players simultaneously submits an offer for a public good. The offer can be either 2 or 0. The public good is provided if the sum of the offers is at least 2. (i.e. if at least one player offers to pay the cost of the good). Each player i knows his own evaluation vi of the public good. They do not know the evaluation of the other. They know that the evaluations can be either 3 or 1 with equal probability Player i's payoff if the good is provided is vi minus the offer. If the good is not provided, each individual's payoff is 0 minus the offer. a.) Represent this game using the equivalent normal form.
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