Find who is a potential investor in the project

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Consider the following interaction between two entrepreneurs (players 1 and 2) who are working on a joint project, and a venture capitalist (player 3) who is a potential investor in the project. First, player 1 decides whether to devote high or low e ort to preliminary work on the project. Player 2 observes this choice and then decides whether to devote high or low e ort himself. They then make a presentation to the venture capitalist, who can observe which, if any, of the entrepreneurs devoted high e ort to the project, and decides whether or not to invest. The payo s are as follows. Each entrepreneur gets a payment of 5 if the venture capitalist invests and 0 otherwise. In addition, choosing high e ort costs an entrepreneur 1, while choosing low e ort is free. Investing costs the venture capitalist 2, but if he invests he gains 3 for each entrepreneur who chose high e ort. If the venture capitalist does not invest, his payo is 0. Draw the game tree corresponding to this game and nd its equilibrium outcome by solving backwards.

Reference no: EM13212632

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