Finding a mathematical proof or basic idea of a five in a row no forbidden move ?

Backgammon is in the process of being perfected, and the rules now seem to be the first move to win (two ideal masters, of course).

The first move does not necessarily win, and the focus is on defense.

Who said that drinking first is stupid.

We already know that the basic premise of game theory is that the effectiveness of someone's or thing's behavior depends on the behavior of others or things. Because there are very few things in the world that exist without dependence on other things. Non-cooperative games emphasize the conflict of interests, i.e., a non-cooperative or even confrontational state.

For example, a "zero-sum game" is a typical non-cooperative game, which refers to the sum of the gains of all parties in the game, and in special circumstances, such as a two-person game, one party gains the same amount as the other loses. From a strict mathematical point of view, the 225 intersections of backgammon 15 15 are the sum of the opponents of backgammon, which shows that backgammon is obviously a strict zero-sum game in the mathematical sense.

The world is like a chess game, and the chess game can be summed up by game thinking. For example, excessive "cheating", between "this hand" and "slow", generally choose this hand, if the move is too excessive, if you do not encounter a counterattack, you may take advantage, if you encounter a counterattack, you may lose, so if the chess strength is equal, you should take into account the opponent's counterattack means. Opponents also consider that it is impossible to take advantage of the pursuit of profit.

This leads to an acceptable solution for both parties.

From a strategic point of view, if one side of the strategy expands the connection, the other side is the control point, and the result is equal, and there is a mutual gain, both sides are willing to play that way. The expansion connection accumulates five materials for itself, and the control point is to defend instead of attacking and waiting for the counterattack moment, which forms a "balance" between the two sides; On the other hand, if a move can be made taking into account the opponent's various moves, and the opponent uses the same rules to find a response, then it can be said that the two sides have reached an "equilibrium".

In chess, especially Go, because the first party can seize a key point first, it is necessary to return the piece or goal in order to be fair.

However, in the course of the chess game, how to free up your hands in local battles to take the lead in deploying the next battle is an important issue. So it's very prioritizing.

The first move is a move that you play, and the opponent must respond, which is imperative, and the absolute first move wins; The back move is when you play a move that the opponent can ignore first, and it is usually of little value.

However, the latter is divided into the latter middle first and the latter middle and the latter are the latter and the latter are the first and second second, but the latter is purely inefficient.

forbidden hands" thinking.

It is forbidden to win by some means. In order to balance the gap between the first hands and weaken the advantage of the first hand, Japan Lianzhu proposed a "ban on hands". Later, the development of Lianzhu proved that banning hands could not balance the gap between the first hands, and it was still "the first to win".

In the absence of the three-hand swap and five-hand two-dozen rules, the first move of backgammon must win, and the opening of Kazuki with straight finger play and Urazuki opening with oblique finger play are must-win openings. Kazuki:

Flower Moon starts with white 4 strong defense and black 5 must win points.

Puyue: Puyue starts with white 4 strong defense and black 5 must win points.

As a beginner, you should keep in mind the above rules and gradually understand the principle of Kagetsu and Urazuki winning in actual combat.

1. You think of backgammon too simply. Maybe you think that the first to win is just a few words to make it clear; But in reality, this idea could not be more wrong! Even if the flower moon is the first to win, it is enough for you to learn for a very, very long time to reach it, and it will never be a day's work, never!

2. Your thoughts are too impetuous. I must have learned how to cut people. Unfortunately, there are many people who think this way (almost everyone who hears that the original backgammon must win), but this idea is completely wrong.

First of all, the value of all kinds of victories is not in themselves, but in the chess theory and chess ideas revealed by these victories. Secondly, if you can achieve a monochrome 5-move (i.e., a two-color 9-hand) with the ability to calculate something like the original backgammon, then you can do it without much effort.

3. There is a saying that you may not believe, but it is indeed true - many people think that learning the original backgammon is a great thing to win, but the truth is that doing this only means that you have already started to get started. The road behind is difficult to grow. What the true level of professionalism of backgammon looks like, you can't imagine it at all.

Of course, all of this has to do with your experience in backgammon. For example, myself - when I was playing blindly, around 2003, I learned the Bagua Formation in formation, and mastered a one-piece double kill in chess, I thought this was a very advanced level of backgammon, and the national masters were probably like that. However, when I started to learn chess and practice in a formal and systematic way in 2008, when I participated in official competitions again and again in 2008 and met He Qiqi and Cao Dong, I felt silly when I thought back then, really.

Backgammon has a fixed number of winning openings, and if you make a wrong move, you may be seized by White, so the key for Black is to seize the opportunity, and if there is a mistake, White may turn a defeat into a win, so each move should be carefully considered.

The spectrum of the flower moon and Puyue on the back is invincible. If you really want to win first and not build on the basis of strong computing power, this is the only way.