It's relatively slow but it works.

irv.py

# -*- coding: utf-8 -*-
import csv

Filename = input('CSV Filename:')
with open(Filename, newline='') as csvdata:
    csvFile = csv.reader(csvdata)
    csvList = []
    for row in csvFile:
        csvList.append(row)

print('How many rows down does the data start?')
Y = int(input(''))
print('How many columns across does the data start?')
X = int(input(''))

i = 0
while i < X:
    for x in csvList:
        del x[0]
    i += 1

i = 0
while i < Y:
    del csvList[0]
    i += 1

Total = len(csvList)

def returnGreatest(l):
    greatest = {}
    for x in l:
        if x[0] in greatest:
            greatest[x[0]] += 1
        else:
            greatest[x[0]] = 1

    largest = 0
    largeIndex = []
    for x in greatest:
        if greatest[x] > largest:
            largest = greatest[x]
            largeIndex = [x]
        elif greatest[x] == largest:
            largeIndex.append(x)

    smallest = 99999999999999999999999
    smallIndex = []
    for x in greatest:
        if greatest[x] < smallest:
            smallest = greatest[x]
            smallIndex = [x]
        elif greatest[x] == smallest:
            smallIndex.append(x)

    return [largeIndex, largest], [smallIndex, smallest]

i = 1
while True:
    print('Round', i)
    a, b = returnGreatest(csvList)
    print('The winner(s) this round was/were {} with {} votes.'.format(a[0], a[1]))

    if float(a[1]) > Total/2 and len(a[0]) == 1:
        print('{} has won majority! ({} of {} votes.)'.format(a[0], a[1], Total))
        break

    print('The entry/entries {} have been removed (Last place with {} votes.)'.format(b[0], b[1]))
    for x in b[0]:
        for y in csvList:
            if x in y:
                y.remove(x)

    i += 1