Shih Chia-chin was picked up by chauffeur Hsieh Yuan-hsin upon his return to the northern airport of Taoyuan on August 18.
Three hours later the accountant of Shih's company received a phone call from kidnappers demanding a ransom of 50 million Taiwanese dollars (USD 1.7 million).
After negotiating with the kidnappers, Shih's family wired 30 million Taiwanese dollars to three designated bank accounts and alerted police, according to a statement from police in the central city of Taichung.
Prosecutors issued a warrant barring Hsieh from leaving Taiwan. But about four hours later the suspect managed to board a flight for Thailand with a fake passport, police said.
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Police said at least two other people were involved in the kidnap.
Citing police sources, the United Daily News said it was suspected there could have been a mastermind behind Hsieh, who has no criminal record.
Local media said Shih had kept a low profile since he survived a kidnapping attempt four years ago.
Shih was sentenced to an 18-month suspended prison term after his Internet gambling ring was cracked nine years ago, the News said, adding that he had built up a fortune worth billions of Taiwan dollars.