How Votes Translate to Knesset Seats: Understanding Israel's Electoral Math

As Israel approaches the Knesset elections scheduled for October 27, the allocation of seats among parties and the potential for a parliamentary majority are under scrutiny. The process of converting millions of votes into 120 Knesset seats involves complex electoral calculations where a small number of votes can determine if a party gains or loses a seat. According to the Israeli Central Elections Committee, there are 7,331,981 eligible voters, an increase of 543,177 from the previous election, with approximately 35 electoral lists competing. Assuming a 74% turnout and 1% invalid votes, around 5.37 million valid votes are expected. To cross the 3.25% electoral threshold, a list would need about 175,000 votes. However, the exact number of votes required for a seat also depends on the votes received by lists that do not pass the threshold and the method for distributing remaining seats.

The Knesset has 120 members, and seats are allocated to lists exceeding the threshold using a proportional representation system. The initial calculation involves dividing the total valid votes of lists that pass the threshold by 120 to get the 'general electoral quotient,' representing the basic number of votes per seat. However, votes for lists failing to pass the threshold are excluded. If an estimated 3% of valid votes go to lists below the threshold, approximately 5.21 million votes remain for seat distribution, leading to an initial calculation of about 43,419 votes per seat.

The precise value of a seat cannot be determined before the election due to variables like actual voter turnout, the percentage of valid votes, and the number of votes for lists that fall below the threshold. Higher numbers of votes for lists that don't pass the threshold reduce the total votes available for distribution, thus lowering the initial vote count per seat. Lists must secure at least 3.25% of valid votes to enter the Knesset; under the projected figures, this is around 174,571 votes. Votes for lists below this threshold are not counted towards the 120 seats, impacting both which parties enter the Knesset and the value of each seat.

After the initial distribution, remaining seats are allocated using the Bader-Ofer method. This system addresses situations where the initial division of votes by the electoral quotient doesn't allocate all 120 seats. Instead of simply giving remaining seats to parties with the most surplus votes, the Bader-Ofer method calculates averages, favoring larger parties. This method, adopted in a 1973 amendment to the Knesset election law, means a party initially allocated four seats might gain a fifth based on the remaining seat distribution.

Furthermore, electoral surplus agreements between two lists allow them to be treated as a single bloc for the purpose of distributing remaining seats, potentially improving their chances of gaining an extra seat compared to competing individually. These agreements are particularly significant when results are close and the allocation of a single seat can influence the balance between political blocs. The final composition of the Knesset and a party's ability to form a government can hinge on such factors as voter turnout, the electoral threshold, surplus agreements, and the remaining seat allocation method.

Notably, voter turnout in Israeli diplomatic missions abroad reached 86.7%, a significant increase from 69.6% in the previous election, potentially indicating higher overall participation. The value of a parliamentary seat is not fixed and depends on the performance of all lists, the votes below the threshold, and the remaining seat allocation mechanism.