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A rightist incumbent (player I) and a leftist challenger (player C) run for senate. Each candidate chooses among two possible political platforms: Left or Right. The rules of the game are the following:
- If both choose the same platform, the incumbent wins the election and if they choose di erent platforms the challenger wins the election.
- The payo for winning the election is 2 and the payo of losing is 0 for each candidate.
- Moreover, candidates do not like to compromise their views. Therefore, independently of whether they win or not, they get an extra payo of 1 (that is, on top of the 0 or 2 mentioned above) if they propose the platform they like best.
(a) Draw the tree if:
(a-1) The Incumbent moves rst
(a-2) The Challenger moves rst
(a-3) The Incumbent and the Challenger move simultaneously
(b) Find the Backward induction equilibrium in cases (a-1) and (a-2) and the (pure and/or mixed strategy) Nash equilibria in case (a-3). Find the payo s of each candidate in each case.
(c) Interpret the results (important).
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1 Se toma una muestra de 81 observaciones con una desviación estándar de 5. La media de la muestra es de 40. Determine el intervalo de de confianza de 99% para la media
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The box plot displays the diversity of data for the totexp; the data ranges from 30 being the minimum value and 390 being the maximum value. The box plot is positively skewed at 1.
In the context of multivariate data analysis, one might be faced with a large number of v&iables that are correlated with each other, eventually acting as proxy of each other. This
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A salesperson visits from house to house to sell her knives. The probability that she makes a sale at a random house is .3. Given that she makes a sale, the sale is worth $100 with
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