Sorry to give a quickie answer. The term pseudokhristos is clearly related to other compounds like pseudoprophétas "false prophet" (cf. Matthew 7:15, 24:11, 24; Mark 13:22; Luke 6:26; Acts 13:6, 2 Peter 2:1, 1 John 4:1, Revelation 16:13, 19:20, Didache 11:5, 8), pseudapostolos "false apostle" (2 Corinthians 11:13), pseudadelphos "false brother" (2 Corinthians 11:26, Galatians 2:4), and pseudodidaskalos "false teacher" (2 Peter 2:1). With the exception of "brother", all of these involve some implied authority... authority as teacher, authority as prophet, authority as apostle. This would suggest that the synoptic neologism pseudokhristos also has connotations of authority, especially since it is only used in conjunction with pseudoprophétas. The term khristos in LXX and NT Greek could refer to priests of the Temple (as it is used in Daniel and 2 Maccabees), or anointed kings. In messianic movements within militant Judaism, such khristoi would refer to claimants to the Davidic throne, or priestly khristoi of the line of Levi. The likelihood that the term has a messianic sense (i.e. claiming identity with Christ) is ensured by the parallel of Mark 13:22 in v. 5-6: "Take care that no one deceives you. Many will come using my name and saying, 'I am he' and they will deceive many". This explains the term pseudokhristoi in v. 22; these are individuals who falsely claim to be Christ and use his name. This interpretation of the name is made explicit by Justin Martyr (c. AD 155), who states that the pseudokhristoi "come forward in the name of Jesus" (Dialogue, 35). The term pseudokhristoi also has an obscure relationship with the antikhristoi "antichrists" of 1 John. While the term clearly does not refer to messianic claimants in 1 John (the sense is rather closer to Christians who deny Jesus as the Christ-come-in-the-flesh), there is an attested usage of the term to refer to the expected Jewish Messiah, e.g. "I anathematize and curse the Messiah (Messian) awaited by the Jews, who will come as Christ (Khriston), rather the Antichrist (Antikhriston)," (cf. Griffith, p. 178), and I recall that Marcion similarly characterized the Christ anticipated by the Jews as a false demiurgical Christ.