Greeks in the late 5th and early 4th centuries BC considered their oldest poets to be Orpheus, Musaeus, Hesiod and Homer—in that order.
Thereafter, Greek writers began to consider Homer earlier than Hesiod.
Devotees of Orpheus and Musaeus were probably responsible for  precedence being given to their two cult heroes and maybe the Homeridae were responsible in later antiquity for promoting Homer at Hesiod's expense.

The first known writers to locate Homer earlier than Hesiod were Xenophanes and Heraclides Ponticus, though Aristarchus of Samothrace was the first actually to argue the case.
Ephorus made Homer a younger cousin of Hesiod, the 5th century BC historian Herodotus  (Histories II, 53) evidently considered them near-contemporaries, and the 4th century BC sophist Alcidamas in his work Mouseion even brought them together for an imagined poetic ágōn (ἄγών), which survives today as the Contest of Homer and Hesiod.
Most scholars today agree with Homer's priority but there are good arguments on either side.

Hesiod certainly predates the lyric and elegiac poets whose work has come down to the modern era.
Imitations of his work have been observed in Alcaeus, Epimenides, Mimnermus, Semonides, Tyrtaeus and Archilochus, from which it has been inferred that the latest possible date for him is about 650 BC.

An upper limit of 750 BC is indicated by a number of considerations, such as the probability that his work was written down, the fact that he mentions a sanctuary at Delphi that was of little national significance before c. 750 BC (Theogony 499), and that he lists rivers that flow into the Euxine, a region explored and developed by Greek colonists beginning in the 8th century BC. (
Theogony 337–45).

Hesiod mentions a poetry contest at Chalcis in Euboea where the sons of one Amphidamas awarded him a tripod (Works and Days 654–662).
Plutarch identified this Amphidamas with the hero of the Lelantine War between Chalcis and Eretria and he concluded that the passage must be an interpolation into Hesiod's original work, assuming that the Lelantine War was too late for Hesiod.
Modern scholars have accepted his identification of Amphidamas but disagreed with his conclusion.
The date of the war is not known precisely but estimates placing it around 730–705 BC fit the estimated chronology for Hesiod.
In that case, the tripod that Hesiod won might have been awarded for his rendition of Theogony, a poem that seems to presuppose the kind of aristocratic audience he would have met at Chalcis.
Greeks in the late 5th and early 4th centuries BC considered their oldest poets to be Orpheus, Musaeus, Hesiod and Homer—in that order. Thereafter, Greek writers began to consider Homer earlier than Hesiod. Devotees of Orpheus and Musaeus were probably responsible for  precedence being given to their two cult heroes and maybe the Homeridae were responsible in later antiquity for promoting Homer at Hesiod's expense.
The first known writers to locate Homer earlier than Hesiod were Xenophanes and Heraclides Ponticus, though Aristarchus of Samothrace was the first actually to argue the case. Ephorus made Homer a younger cousin of Hesiod, the 5th century BC historian Herodotus  (Histories II, 53) evidently considered them near-contemporaries, and the 4th century BC sophist Alcidamas in his work Mouseion even brought them together for an imagined poetic ágōn (ἄγών), which survives today as the Contest of Homer and Hesiod. Most scholars today agree with Homer's priority but there are good arguments on either side.
Hesiod certainly predates the lyric and elegiac poets whose work has come down to the modern era. Imitations of his work have been observed in Alcaeus, Epimenides, Mimnermus, Semonides, Tyrtaeus and Archilochus, from which it has been inferred that the latest possible date for him is about 650 BC.
An upper limit of 750 BC is indicated by a number of considerations, such as the probability that his work was written down, the fact that he mentions a sanctuary at Delphi that was of little national significance before c. 750 BC (Theogony 499), and that he lists rivers that flow into the Euxine, a region explored and developed by Greek colonists beginning in the 8th century BC. (Theogony 337–45).
Hesiod mentions a poetry contest at Chalcis in Euboea where the sons of one Amphidamas awarded him a tripod (Works and Days 654–662). Plutarch identified this Amphidamas with the hero of the Lelantine War between Chalcis and Eretria and he concluded that the passage must be an interpolation into Hesiod's original work, assuming that the Lelantine War was too late for Hesiod. Modern scholars have accepted his identification of Amphidamas but disagreed with his conclusion. The date of the war is not known precisely but estimates placing it around 730–705 BC fit the estimated chronology for Hesiod. In that case, the tripod that Hesiod won might have been awarded for his rendition of Theogony, a poem that seems to presuppose the kind of aristocratic audience he would have met at Chalcis.
Hesiod