Jessica Jones vs Batman
Jessica is investigating Batman in the Batcave to get big bucks for uncovering his true identity. She suddenly stumbles upon Batman in his bat computer room, looking fully alert at her. She sees her face plastered all over the big screens, labeled across in big bold red letters "DANGEROUS". Batman plans to take her down for trespassing. Jessica will not back down without a fight.
No prep for Batman. Gets standard equipment and home advantage.
Who wins ?