Is a defendant's attorney ineffective in causing the jury to learn of the prior judgment of death?

Defendant contends his attorney was ineffective in causing the jury to learn of the prior judgment of death. He contends this prejudicially diminished the jury's sense of responsibility for its own penalty decision. (See Caldwell v. Mississippi (1985) 472 U.S. 320, 105 S.Ct. 2633, 86 L.Ed.2d 231.) We disagree. Although there was certainly a danger the information might reduce the jury's sense of responsibility, defense counsel reasonably could, and obviously did, believe that on balance, the information, in conjunction with the use counsel made of it, would increase the chances of the defense avoiding a second death verdict.