# 1 suppose people 39 s use of search engines can be described as follows next search 5346853

1.      Suppose people&#39;s use of search engines can be described as follows:

Next Search

 Bing Google Bing 0.5 0.5 Google 0.25 0.75

Further, suppose that today all of the population uses Bing (i.e., Bing&#39;s market share is 100%).

a.       What search engine “will” people use tomorrow? That is, what “will” the market share be for each search engine tomorrow? (Show your work.)

Hint: This problem involves a Markov chain, as discussed in the reading. Though the reading does not contain a “worked example”, you should be able to figure out how to do the calculations. To get started, let B?1??and G?1??denote the market shares for Bing and Google on day 1. Further, let P{B to B}?denote the probability that a user “switches” from Bing to Bing (i.e., staying with Bing), P{B to G}?denote the probability that a user switches from Bing to Google, P{G to B}?denote the probability that a user switches from Google to Bing, and P{G to G}?denote the probability that a user stays with Google. You need to calculate B?2??and G?2??(i.e., the shares on day 2) from B?1??, G?1??and these transition probabilities? ?

b.      What search engine “will” people use the day after tomorrow? (Show your work.)