Ugh... separate the decision logic from the result. Bad code style, dude. There is so much duplication of code in there that my head was spinning. That whole thing could be reduced to about 20 lines.

Write a single function that checks two pieces and returns a result of who won (or a tie). Then based on that result, you only have a couple of branches to tell the player and the game what happened.
[/quote]
This guy knows what he's talking about. The code that can be pulled into its own function should be clear as day. Since you have it repeated for every if statement. **hint, hint**

I would probably not use any conditionals to determine who wins, but a lookup table instead:
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It seems to me that a lookup table is unnecessary. Maybe I'm misunderstanding the rules though.

I see a few special cases (attacking/defending spy, attacking flag). All the other cases can be decided, as IADaveMark said, by using the appropriate comparison operator - provided we define the internal identifier of the pieces in the correct order:

enum Piece { FiveStarGeneral, FourStarGeneral, ThreeStarGeneral, /*...*/, Spy, Flag, NPieces };

enum BattleResult { AttackerWins, NobodyWins, DefenderWins };

BattleResult compute_battle(Piece attacker, Piece defender)
{
// Equal pieces eliminate one another
if(attacker == defender)
{
// Special case: attacking flag eliminates defending flag
if(attacker == Flag)
{
return AttackerWins;
}
return NobodyWins;
}

// Special case: Spy attacking (spies lose to privates)
if(attacker == Spy)
{
return defender == Private ? DefenderWins : AttackerWins
}

// Special case: Spy defending (spies lose to privates)
if(defender == Spy)
{
return attacker == Private ? AttackerWins : DefenderWins;
}

// Pieces go from low values to high in the Piece enum, so we use "less than" here...
return attacker < defender ? AttackerWins : DefenderWins;
}


This guy knows what he's talking about.

Question Again: What Algorithm Can I Implement on My Arbiter? Any Suggestion?

Thanks!

I just made a board game, and i dont know what Algorithm best describe this referee or arbiter.

The role of arbiter is to check which rank is higher and then remove the lower rank pieces..

I use a lot if IF CONDITIONS to make it work..

Do you know any algorithm that can i put on my papers?

Thanks!