Question
Background: Travel-Rx plans to spend $6 million to transform 6 recreational vehicles (rv's) into health labs. The rv's will tour the Texas offering a $99
Background: Travel-Rx plans to spend $6 million to transform 6 recreational vehicles (rv's) into health labs. The rv's will tour the Texas offering a $99 heart-health workup to anybody who wants one. The workup consists of a detailed questionnaire and some basic diagnostics (blood pressure, ultrasound, cholesterol test, etc). Using the information from the questionnaire and the diagnostics, a statistical analysis will determine the customer's risk of a heart "malfunction" in the next year, the next three years, and the next five years. Similar question-based analyses are free online; expensive diagnostic-based analyses are available from doctors; Travel-Rx merges the two. None of the statistical analyses can outperform a coin-flip.
Travel-Rx claims that one factor in the decision to go with 6 labs is that 6 labs will deter entry by others. They provided the following data to support their claim (the numbers are expected profits):
The Competition | |||
Travel-Rx | Do Not Enter | Enter & Compete | |
5 or fewer labs | 30, 0 | 5, 10 | |
6 or more labs | 20, 0 | 2,2 |
(Game Theory Question) - Note that Travel-Rx has not yet entered the market, so their decision is not yet determined. They are a first-mover, but has not made their first move. After they move, The Competition will move. Given that, what is the outcome of this game and why?
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