### A crazy idea and a math problem Hex, Havannah

7 replies. Last post: 2003-03-15

A crazy idea and a math problem
• ypercube at 2003-03-14

About two weeks ago I achieved the maximum of 146 games, all going on at the same time. Then a totally crazy idea came to my mind.

What would happen to my rating if i resigned all my hex games at once ?

Pandelis

• jjjklj at 2003-03-14

i'm not sure what would happen to your rating, but i'm pretty sure mine would go up a lot…

• Marius Halsor ★ at 2003-03-15

What do you mean “at once”? I believe it is not possible to send a second move before your rating resulting from your previous “resign” move is calculated. However, your rating would depend on the order of which you resigned the games, I believe.

Marius

• klaashaas at 2003-03-15

…and depending on your opponents ratings.

You cannot calculate your rating, since you cannot predict your opponents behavior. I'm not a math-person, but I'de say it's unsolvable problem due to the unknown 'human behavior'.

• ypercube at 2003-03-15

What I meant when I said “at once” was sending all resignations one after the other in a time short enough so no other game would finish except my (146) games.

So, if one knew my opponents, their ratings, the exact rules for the ratings changes and the order of the resignations, it would be possible to calculate the final rating. Noone will I suppose, but an estimate ? I would argue it would be over 400.

Another thing: the order would NOT have much to do with my final rating, not as much as with the effect on the opponents ratings.

Pandelis.

• Dvd Avins at 2003-03-15

Your opponents' ratings may be the most important factor, but they're both important.

To minimize your final rating you would line up your opponents in order of rating, resign all your games against the first opponent, then all against the second, etc.

To maximize your final rating would take more work. You would always resign a game against that remaining opponent who **then had the lowest rating. But whenever you resigned a game agains an opponent with whom you had more than one game left, you'd have to check if their rating surpassed that of other opponents.

I guess there'd be more than 100 points difference between the two methods.**

• Dvd Avins at 2003-03-15

Doh! When you use HTML tags, it helps to also include the end tag.