This is perhaps the most controversial of all the fights. Batman, the deus ex he is, has a strong argument for victory. In context of a vote, he's a company icon, and carries with him the overwhelming popularity of a franchise character. Editorially it would be a cold day in hell before the character lost.
That said, Captain America is a character sometimes, in my opinion, underrated. Often merely categorised as a man in peak physical condition, the super-soldier serum goes unrecognised as a boosting power. Captain America's strength and stamina should be recognised as superhuman. While he does not possess even the strength of a Spider-man, he is a character with physical strength that still outweighs the chemically unaided power of Bruce Wayne.
In terms of hand-to-hand fighting, Captain America lacks a degree of finesse that Batman possesses as a result of his various martial arts styles. That said, the Captain probably has a superior knack for a skilless slug fest.Psychologically each character adds to their fighting abilities with symbollic assaults. The Batman has crafted for himself a persona criminals across the globe fear, while Captain America has the awe inspiring stature of a living legend.
Strategically each character has a very different credential. Ultimately, it's probably the Batman's broader palette that gives him the upper hand. Rather than drawing from any particular military method of strategic thinking, most of Batman's prowess stems from deductive logic, and obsessive training to make his decision processes second nature.
The breadth of technology at Batman's disposal also gives him an additional edge, no matter how skilled the Captain may be with his shield.
POWER AND ABILTLY
Captain America uses several shields throughout his history, the most prevalent of which is a nigh-indestructible disc-shaped shield made from an experimental alloy of steel and the fictional vibranium. The shield was cast by American metallurgist Dr. Myron MacLain, who was contracted by the U.S. government, from orders of President Franklin Delano Roosevelt, to create an impenetrable substance to use for tanks during World War II. This alloy was created by accident and never duplicated, although efforts to reverse-engineer it resulted in the discovery of adamantium.
Captain America often uses his shield as an offensive throwing weapon. The first instance of Captain America's trademark ricocheting shield-toss occurs in Stan Lee's first comics writing, the two-page text story "Captain America Foils the Traitor's Revenge" in Captain America Comics #3 (May 1941).
The legacy of the shield among other comics characters includes the time-traveling mutant superhero Cable telling Captain America that his shield still exists in one of the possible futures; Cable carries it into battle and brandishes it as a symbol.
When without his trademark shield, Captain America sometimes uses other shields made from less durable metals such as steel,[volume & issue needed] or even a photonic energy shield designed to mimic a vibranium matrix.[volume & issue needed] Rogers, having relinquished his regular shield to Barnes, carried a variant of the energy shield which can be used with either arm, and used to either block attacks or as an improvised offensive weapon able to cut through metal with relative ease. Much like his vibranium shield, the energy shield can also be thrown, including ricocheting off multiple surfaces and returning to his hand.
Captain America's uniform is made of a fire-retardant material, and he wears a lightweight, bulletproof "duralumin" scale armor beneath his uniform for added protection. Originally, Rogers' mask was a separate piece of material, but an early engagement had it dislodged, thus almost exposing his identity. To prevent a recurrence of the situation, Rogers modified the mask with connecting material to his uniform, an added benefit of which was extending his armor to cover his previously exposed neck. As a member of the Avengers, Rogers has an Avengers priority card, which serves as a communications device
There are a plethora of superheroes without superpowers, but of them all the Batman character relies on "his own scientific knowledge, detective skills, and athletic prowess." In the stories Batman is regarded as one of the world's greatest detectives; if not the world's greatest crime solver. In Grant Morrison's first storyline in JLA, Superman describes Batman as "the most dangerous man on Earth," able to defeat a team of superpowered aliens by himself in order to rescue his imprisoned teammates. He is a master of disguise, often gathering information under the identity of Matches Malone, a notorious gangster. Additionally, the Batman has been repeatedly described as one of the greatest martial artists in the DC Universe, having either trained with or fought against the very best of them including such notables as Lady Shiva, Bronze Tiger, and Richard Dragon. However, Batman's most defining skill and power is his strong commitment to justice and an unwillingness to kill any life, regardless of the situation he is faced with. This unyielding moral aptitude has earned him the respect of several heroes in the DC Universe, most notably that of Superman and Wonder Woman.