Question: What type of game is the game which Hon'inbō Genjō plays professionally?

Context paragraphs:
Hon'inbō Shūgen: Hon'inbō Shugen (本因坊 秀元, 1854 – 5 September 1917) was a Japanese professional go player.  He was twice head of the Hon'inbō house, being both the sixteenth and the twentieth head.

Go (game): Go () is an abstract strategy board game for two players, in which the aim is to surround more territory than the opponent.

Hon'inbō Shūetsu: Hon'inbō Shūetsu (本因坊秀悦, 1850 – 23 August 1890) was a Japanese professional Go player, and fifteenth head of the Hon'inbō house.

Hon'inbō Jōsaku: Hon'inbō Jōsaku (本因坊丈策, 1803–1847) was a Japanese professional go player and the thirteenth head of the Hon'inbō school.  He was not in the same top-rank class over the board as either his predecessor Jōwa or his successor Shūwa.

Hon'inbō San'etsu: Hon'inbō San'etsu (本因坊算悦, 1611–1658) was a professional Go player, and second head of the Hon'inbō house.

Hon'inbō Sansa: Hon'inbō Sansa (本因坊算砂, 1559 – June 13, 1623) was the assumed name of Kanō Yosaburō (加納 與三郎), one of the strongest Japanese Go players of the Edo period (1603–1867), and founder of the house of Hon'inbō, first among the four great schools of Go in Japan.  He was a Buddhist priest of the Nichiren sect, and his original dharma name was Nikkai (日海).

Hon'inbō Genjō: Honinbō Genjō (本因坊元丈, 1775–1832) was a professional Go player.

Hon'inbō Hakugen: Hon'inbō Hakugen (本因坊伯元, 1726–1754) was a Japanese professional go player, and eighth head of the Hon'inbō house.  He reached 6 "dan" level.

Hon'inbō Shūwa: Hon'inbō Shūwa (本因坊秀和, 1820–1873) was a Japanese professional Go player, and also the fourteenth head of the Hon'inbō house from 1847 to 1873.

Hon'inbō Shūsai: Hon'inbō Shūsai (本因坊 秀哉 , Hon'inbō Shūsai , June 24, 1874January 18, 1940) is the professional name of Hoju Tamura, also known as Yasuhisa Tamura (田村保寿 , Tamura Yasuhisa ) , who was a Japanese professional Go player.

Supporting paragraphs: Hon'inbō Genjō Go (game)
Answer: abstract strategy board game