The ghost labyrinth

Your task is to pass through a labyrinth occupied by 16 resident ghosts. It has four entrances, and two exits, as shown on the picture below. You must be accompanied by a ghost guide of your choice, and you have five ghosts to choose your guide from. The rules for walking through the labyrinth are as follows:

1) You may only enter and leave a room occupied by one of the 16 resident ghosts if your ghost guide has a lifetime positive or neutral game score against the resident. The resident ghosts are very proud and will not let you enter if you are accompanied by a guide they deem "weak".

2) If you so desire, once you enter a room, you may leave your ghost guide in the room, and choose the resident as your new guide. This "guide swapping" is key to passing through the labyrinth.

3) The resident ghost will not let you enter the room if he never had a chance to play your ghost guide in his lifetime.

Who would you choose as your ghost guide through the labyrinth, and how would you pass through it?

[Congratulations to Goldendog, who found one of several possible routes thru the labyrinth, by choosing Tartakower for the guide.]

It will be helpful to identify all the ghost guides and residents first:

Guides:

1.Marshall, 2.Morphy, 3.Tartakower,4.Bogoljubov,5.Reti

Residents:

1.Maroczy, 2.Euwe, 3.Alekhine, 4.Steinitz, 5.Teichmann, 6.Botvinnik, 7.Lasker, 8.Tal, 9.Capablanca, 10.Keres, 11.Smyslov, 12.Fischer, 13.Tarrasch, 14.Petrosian, 15.Polugaevsky, 16.Geller

Well, this may take me a day or two just to figure out what you are talking
about CrazyC.

This is really cool but I am quite slow to think on Sunday mornings.

XI Smyslov

XII Fischer

VIII Tal

XIV Petrosian

VI Botvinnik

V Teichman

II Morphy ?

IV Steinitz

III Alekhine

VII Lasker

The guides: The photo's are a bit tiny, my eyes aren't what they used to be :(

I think

1 Mir Sultan Kahn

2 Morphey

3 Tartakower

Ghosts:

3 Alekhine, dunno if someone said...

Good work guys, I am updating...

 #1 is not Khan, otherwise correct!

Can't quite figure the picture, but is the last one Reti?

II Max Euwe

IX Capablanca

Guide IV Bogoljubov

 Yes, guide V is Reti! Correct on the others too.

10 might be Keres

And 13 might be Schlechter

10 is Keres, but 13 is not Schlechter.

Alright, maybe I can manage a few more.

XIII Tarrasch

I Maróczy

Bjazz, right on both.

Now I'll take a risk of going wrong, but could the receding hairline in XV refer to Boleslavsky? Probably not...

XVI is Geller

 XVI is Geller, but XV is not Boleslavsky.

1=Marshall

15=Polugaevsky?

Correct on both, Goldendog!