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The roommates will vote PS4 over a New Couch by (1-2 or 2-1) and a New Couch over a 50" TV by (1-2 or 2-1). If PS4 is preferred to a (New Couch, 50" TV ) and a ( New Couch, 50" TV) is preffered to a (50" Tv or PS4), it might seem that it must be true that the (Ps4 or 50" TV) is the favorite. But in a vote of a ( 50" Tv or Couch )versus ps4 the (50" Tv or Ps4) wins by 2-1 vote. Hence when a (voting cycle or theory or medium voter ) occurs, choosing a single favorite that is always preferred by a majority becomes (impossible or possible)1st Choice 2nd Choice 3rd Choice Antony 50 TV PS4 New Couch Edward PS4 New Couch 50 TV Gavin New Couch 50 TV PS4 Based on.

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Answer #1

The roommates will vote PS4 over a New Couch by (2-1) and a New Couch over a 50" TV by (2-1). If PS4 is preferred to a (New Couch) and a ( New Couch) is preferred to a (50" Tv ), it might seem that it must be true that the (Ps4) is the favorite. But in a vote of a (50" Tv) versus PS4 the (50" Tv) wins by 2-1 vote. Hence when a (voting cycle) occurs, choosing a single favorite that is always preferred by a majority becomes (impossible)

Explanation - Given situation is a condorcet paradox which is basically a voting cycle between three or more options and choosing a favorite is impossible

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