COMBINING YUGIOH WITH MATHEMATICS

Yugioh is about card advantage, NOT LIFE POINT. You may have 10000 life point against 100 life point but still lose if you didn't have card advantage.


CARD ADVANTAGE = HAND ADVANTAGE + FIELD ADVANTAGE

Example & Explanation:
Yusei has 2 cards in hand, 2 set cards in spell & trap zone and a face-up Stardust Dragon. How much card advantage he has?

Answer: 2+2+1 = 5

OK, well... I feel like teaching like a stupid teacher so... I'll use a simple way then. Card advantage means the total card that a player on his/her field or in his/her hand. Yugioh is about using the minimum resource to eliminate the maximum resource from a player's opponent. Yugioh is a complex game, a game that need brain, not a children's card game. However, having large card advantage doesn't ensure a player's victory. You may have 5 cards in your hand and 10 cards on your field but have no answer to a Judgement Dragon. In just 1 blow of Judgement Dragon, it cost -10 on you. That's why, many complain that Judgement Dragon should be banned. Fortunately, many of Lightsworns' card had been touched so that Judgement dragon won't come out that often.

Ok, Lets talk something about banlist. Broken cards should be banned to keep the game in control. However, what means by broken? Broken in most of the cases means the advantage that a player gains by playing a card is too much if compare to its cost that result in an unfair stituation. As an example: POT OF GREED - the most simplest and most powerful card in the game. As simple as 3 words - Draw 2 cards. However, it is the most broken card ever created. It gains you +1 for no cost. For anyone who still new to the game, see this:

Activate Pot of Greed, Pot of Greed is sent to graveyard and this reduces your hand size by 1 = -1

Draw 2 card, you gain 2 card advantage then = +2

So total = -1+2 = +1

However, card advantage can't solely represents the word "Broken". Some card such as Dark Magician of Chaos reduce player's card advantage, however still broken.

Tribute 2 monster to summoned Dark Magician of Chaos, player lose 2 monster on his/her field = -2

Player lose 1 card(Dark Magician of Chaos) in his/her hand = -1

Player gain 1 monster(Dark Magician of Chaos) on his/her field = +1

Due to Dark Magician of Chaos's effect, add 1 spell from graveyard to player's hand = +1

So, total = -2-1+1+1 = -1

However, some broken card such as Change of Heart will cause variable lost or gain of card advantage. If you just take control of opponent's monster, launch a direct attack, return that monster to him/her during end phase, that's -1. However, a good player won't do that. Below is an example that shows the most advantage a player can gain by using Change of Heart.

Play Change of Heart, Change of Heart is sent to graveyard = -1

Take control of a monster = +0 as you must return that monster back to your opponent during the end phase.

Take down a monster with that monster = +1

Possibility of using its effect = +0 or more than 0

Synchro with that monster = +0 (assume it cost you one of your own monster)

so total = -1+0+1+0+0 = 0 or more than 0 depends on that monster's effect. However, you gain a big monster by synchroning which may gain you more advantage next turn.

Further example of broken cards. One for one sounds balanced, but some of them are actually broken. Chainable one for one can result in one for two which can be broken. Such as your opponent use his/her heavy storm on your Ring of Destruction and you chain it and destroy 1 of your opponent's monster. This cause -1 on you but cause -2 on your opponent.

Ok, now lets talk about another topic then.


TRIBUTE SUMMON = -(THE NUMBER OF MONSTER USED AS TRIBUTE)

Example & Explanation:
Jack Atlas tributes one of his monster to summon Big Piece Golem. How much card advantage he loses?

Answer: He tributes 1 monster = -1


FUSION SUMMON = -(THE NUMBER OF MONSTER USED AS FUSION MATERIAL)

Example & Explanation:
Seto Kaiba fuses 3 of his Blue-Eyes White Dragon to summon Blue-Eyes Ultimate Dragon.

Answer: Fusion materials are 3 monsters = -3

Thing get more complex so I would like to explain. See below:

Kaiba actiavte Polimerisation, Polimerisation is sent to graveyard = -1

He sends 3 of his Blue-Eyes White Dragon to graveyard = -3

He gains a Blue-Eyes Ultimate Dragon = +1

So, total = -1-3+1 = -3

However, this is only true for fusion summon using Polimerisation.
Some fusion summon such as Miracle Fusion and Overload Fusion are one for one. Future fusion even can gain a player +2 or even +3. I do like to seperate Contact Fusion from here as it's totally different story.


CONTACT FUSION = - THE NUMBER OF MONSTER USED AS FUSION MATERIAL +1

Example & Explanation:
Goay contact fusion Summon Gladiator Beast Heraklinos by using his Gladiator Beast Laquari and 2 of his "Gladiator Beast" monster.

Answer: Number of monster used as fusion material =3. Hence, -3+1 = -2

But, some contact fusion can gain a player huge advantage such as contact fusion summon of Gladiator Beast Gyzarus. See below:

Return 1 Gladiator Beast Bestiari and 1 Gladiator Beast monster to player's deck = -2

Gain Gladiator Beast Gyzarus = +1

Activate Gladiator Beast Gyzarus's effect, destroy 2 opponent's cards = +2

Attack and send Gladiator Beast Gyzarus into extra deck = -1

Tag out 2 more Gladiator Beast Monsters = +2

Activate 2 Gladiator Beast Monsters effect = +2(the most)

So, total = -2+1+2-1+2+2 = +4(maybe lesser) oh... broken again...


SYNCHRO SUMMON (LAST) = - THE NUMBER OF MONSTER USED AS SYNCHRO MATERIAL +1

Example & Explanation
Yusei send 3 of his monster to graveyard to synchro summoned Stardust Dragon

Answer: The number of monster used as synchro material = 3. So -3+1 =-2