Wednesday, May 13, 2009

What kind of Game is this?

Suppose there is a game between A and B for a total of 40 points. At the end of the game both Team A and Team B can transfer their points to two other players Y and Z. Similarly there are games between C and D, E and F, G and H with each game being worth a total of forty points. Thus these individual games add up to 160 points.

Y and Z are playing a game with each other where they already have 200 points each and now depending on how many points the teams from the first 4 games transfer to each of the players Y and Z the final winner will be decided. A key point to note here is that in any of these 40 point games, both players cannot transfer their points to either Y and Z - they necessarily have to be on opposing sides.

Supposing each of the 40 points games can have only 3 outcomes - 40-0 , 20-20, or 0-40. This means that the 20-20 results effectively does not effect anyone - provided A,B,C,D,E,F,G are distinct from Y,Z. The games which have either a 40-0 or a 0-40 outcome will be the most important games which will decide who wins the overall game. Thus if these 40 point games are decided based on a democratic process of voting and I am a person who has to decide which team to vote for in a game between C and D for example, I will make every attempt to ensure that I support that team which is most likely to get a 40-0 victory because that means that my vote will have the biggest impact in the overall outcome of the game between Y and Z. Thus a group of rational voters will always vote to ensure a 40-0 verdict provided their knowledge of which team will win is strong enough.

In effect is the democratic process is seen in cold light for what it is - a scramble for power, which I believe that every voter is able to see, then the vote will always be cast in such a manner so that a winner will take all. Perhaps over time the team members and the supporters realise this and eventually every state where regional parties rule the roost ( distinct from central parties), the parties and the voters will always ensure that one team sweeps the stakes, because that is the most beneficial outcome for all concerned.

The game changes in those 40 point games where one of the team members is directly either Y or Z..... More thought on this later...

Bottom line is that as more states start to get into the mode of regional parties the alliances and the voting patterns will be so formed such that the result is always one sided. This will be the most optimum outcome for all concerned in these 40 point games. Perhaps it take a few decades for the team members and supporters to intuitively understand this - but eventually they get it and this is what will happen. Perhaps we can call it the Strength of Collective Bargaining in the Free Market called democracy....