It's quite a toss-up to say which of the nations is the most "male-friendly," although there are at least a few nations that come to mind right off hand. Much easier to answer which of the nations is the most restrictive on women in general, which, in my humble opinion, would be Amadicia. Hands down.

Out of every nation we've ever been introduced to, I think that the only civilization that we've seen to have any serious examples of male-dominance would be Amadicia. The land is almost exclusively overrun (prior to the Seanchan invasion, at least) by an all-male organization that bears surprising resemblance to the Catholic Church during the days of the Inquisition. The fear of "Tar Valon Witches" is rampant throughout the entirety of the kingdom, and as a result of that it is commonly suggested, if not declared outright, by many of the Childen that the first citizens of that nation to be targeted by raging lynch mobs are most commonly women who hang herbs in their windows to signify their craft as healers.

Patriarchy seems to reign supreme over just about every aspect of Amadicia, but in the same stroke of breath I think that the nation is often personified as the most inherently vile of them all. Almost every whitecloak we meet seems to have little or no compunction about slaughtering innocent people, and their wicked nature seems to be emphasized over and over again by the characters we meet throughout the books. Bornhold (while reasonably angered over the death of two of his Whitecloak Soldiers) had abaolsutely no compunctions about pronouncing Perrin as a darkfriend as a result of his connection to wolves (which must be evil), but his suspicions about Perrin serving as a spy for the Seanchan felt all but completely unwarranted.

Pedron Niall is characterized by his thirst for world domination by "allowing the Dragon to run loose" until he can be "properly put down" with the expectation that the world would be unified and subsequently conquered by his organization. If anything, Eamon Valda was twice as bad; a rapist who had absolutely no compunctions about slaughtering refugees under the notion that "The Creator will know well who is his own."

While I cannot recall whether or not Amadician customs allow for anything but a king to hold power over their lands, it hardly matters in the long run because the king is almost (if not always) depicted as a mindless puppet that dances to the strings of the Whitecloaks.

As far as the most male-friendly of the nations? Well, I think the answer to that is more difficult. Truth be told, I would probably have to go with the Borderlands. Unless I am mistaken, Kandori merchants are widely regarded as hard baragianers (if not nearly as hard as the Domani or the Seafolk), and their merchant society didn't have any suggestions of female domination that I can recall off-hand. Shienar has a King, but their soldiers are wedded to death and driven off into the Blight while their women seem to have great privelages over their men (such as the ability to "punish them" for badgering the womens quarters unduely -- even if the offending man is only trying to settle an argument with his wife.)

Saldaea seems to have some of the best examples of a "male-friendly" nation, but off-handedly I cannot recall whether or not Saldaean custom even allows for a king. Nevertheless, the attitude of Saldaean women (at least, according to Faile's mother) is that a man should always be stronger than a woman because if he is not, the woman will never be able to grow into her full potential. A Saldaean man is expected to dominate his wife when she throws tantrums and wrestle her (psychologically or physically, if necessarry) into submission.

Ontop of this, Saldaean men are widely considered honorable (if flambuoyant) for their responsibilities as a Borderlander nation, and just about everyone knows of their reputation for the best cavalry in the known world. I'd say that this, at least, earns them some serious points. Saldaean women seem to be equally strong, however, and ride out into battle with their husbands so that they might wield their man's sword if he should fall in battle. Even still, they are only permitted to do this if the venture is not into the Blight, and insofar as I can tell, the honor of the defense of the Blight seems almost exclusively male.

I tend to discount Tear because of the wide schism between nobility and commoners, but I can remember little enough about Illian. I don't believe that I can recall even one instance of an Illianer smuggler who wasn't a man, however, and I'm certain that the nation has never held a Queen. While I am almost positive that there are Tairen High Ladies as well as High Lords, I do not recall even one example of an Illianer High Lady. Nevertheless, I don't think RJ has ever given us even one Tairen High Lord who wasn't hot-headed, conniving, or downright incompetent (but I haven't done my research, so I could be wrong).

I'm hopped up on cold medicine and currently fighting a sleeping pill, so if my post is sloppy, that's why.