To put into the right psychological frame of mind: The coach psyched the team before the game.
To excite emotionally: The children were psyched to see the circus.
To undermine the confidence of by psychological means; intimidate: "Depending on whose personality is stronger, one can more easily psych the other” ( Harold C. Schonberg).
To analyze, solve, or comprehend.
To anticipate or guess the intentions of: "Most others could never approach [his] ability ... to psyche out the opposition's thinking so consistently” ( Steven Brill).