Sequential Voting

Nelia - I've been able to trace the history of voting back to the story of Gilgamesh, around 2700BC.  However, the story doesn't tell how the voting took place.  The earliest example of sequential voting I can find is in a description of how the Romans declared war, around 650BC.  I've put the information below.  The sequential voting description is highlighted in red.
 
Hope this helps.
 
Jack Harton
Highline Community College Library

Ancient History Sourcebook: Livy: The Roman Way of Declaring War, c. 650 BCE
 http://www.fordham.edu/HALSALL/ancient/650livy1-34.html 

History of Rome, I.32:
Inasmuch as Numa had instituted the religious rites for days of peace, Ancus Marcius desired that the ceremonies relating to war might be transmitted by himself to future ages. Accordingly he borrowed from an ancient folk, the Aequicolae, the form which the [Roman] heralds still observe, when they make public demand for restitution. The [Roman] envoy when he comes to the frontier of the offending nation, covers his head with a woolen fillet, and says: Hear, O Jupiter, and hear ye lands _____ [i.e., of such and such a nation], let Justice hear! I am a public messenger of the Roman people. Justly and religiously I come, and let my words bear credit! Then he makes his demands, and follows with a solemn appeal to Jupiter. If I demand unjustly and impiously that these men and goods [in question] be given to me, the herald of the Roman people, then suffer me never to enjoy again my native country!

These words he repeats when he crosses the frontiers; he says them also to the first man he meets [on the way]; again when he passes the gate; again on entering the [foreigners'] market-place, some few words in the formula being changed. If the persons he demands are not surrendered after thirty days, he declares war, thus: Hear, O Jupiter and you too, Juno---Romulus also, and all the celestial, terrestrial, and infernal gods! Give us ear! I call you to witness that this nation _____ is unjust, and has acted contrary to right. And as for us, we will consult thereon with our elders in our homeland, as to how we may obtain our rights.

After that the envoy returns to Rome to report, and the king was wont at once to consult with the Senators in some such words as these, Concerning such quarrels as to which the pater patratus [i.e., the head of the Roman heralds] of the Roman people has conferred with the pater patratus of the ____ people, and with that people themselves, touching what they ought to have surrendered or done and which things they have not surrendered nor done [as they ought]; speak forth, he said to the senator first questioned, what think you? Then the other said, I think that [our rights] should be demanded by a just and properly declared war, and for that I give my consent and vote. Next the others were asked in order, and when the majority of those present had reached an agreement, the war was resolved upon.