The paper introduces a new electoral system, based on proportional representation, called apportioned voting because each vote is apportioned among the candidates. Apportioned voting can be thought of as an enhanced and generalized hybrid of cumulative voting and single transferable vote (also known as proportional ranked-choice voting). Apportioned voting can efficiently handle government and corporate elections with large numbers of voters, positions to fill, and candidates. The paper provides a detailed description of apportioned voting, illustrative examples of apportioned voting’s election performance, and the Octave scripts used to implement apportioned voting and compute the example results.

Were the initial apportionments of the U.S. House of Representatives and the U.S. Senate inevitable? This paper determines the coalitional stability of apportionment rules considered at the Constitutional Convention assuming the Convention limited itself to the rules proposed. Using each state's vote share as a measure of state preference, we find that the stability of legislative apportionment depended upon the states making decisions. Equal apportionment was in equilibrium with thirteen states present, as in the Continental Congress, but when Rhode Island and New Hampshire were absent during the first third of the Convention all rules were in a top cycle. With New York departing near the middle of the Convention, equal apportionment and the Three-Fifths Clause both became stable, and the Great Compromise was reached. We conclude that the Great Compromise was partly the result of historical contingency (i.e., which states participated), rather than necessity.

The Montana Voting Precincts have been updated as part of redistricting in 2023. Not every county had updates following the creation of the new Montana legislative districts. This dataset will be updated as new voting precincts are obtained. The Montana voting or election precincts for the entire State of Montana were originally obtained from the local county offices by the Montana Department of Commerce through an FY2019 Montana Land Information Act (MLIA) Grant. The contractor used data (obtained from the counties) to digitize voting district boundaries following the recommendations of the U.S. Census Bureau Redistricting Data Program. Source data may be GIS digital data or manually digitized from maps. Key fields included 2-digit state FIPS, 3-digit county FIPS, Precinct Number, Precinct Name, County Name, and Data Date. Voting Precinct boundaries were aligned to MSDI administrative boundaries, PLSS, and parcels and projected to the Montana State Plane. According to MCA 13-3-101 the governing body of each county shall establish a convenient number of election precincts, equalizing the number of electors in each precinct as nearly as possible. According to MCA 13-3-102 the county governing body may change the boundaries of precincts, but not within 100 days before any primary or between a general election and the primary for that election. When the changes are required to make precinct boundaries conform to legislative district boundaries following the adoption of a districting and apportionment plan under Article V, section 14, of the Montana constitution or other district boundaries changed by the districting and apportionment plan, the changing of precinct boundaries must be accomplished within 45 days of the filing of the final plan.

excel file and compressed csv with raw election and apportionment data accompanying the article Electoral Inequity. Mathematica file to compute indices and produce tables

apportionments_pop_2021_pred_2024.xlsx This is a dataset containing prediction apportionments of seats for the 2024 election of the European Parliament (EP). This prediction is based on population data from the 2021 census held by Eurostat. See our paper for the standard function, configurations of parameters, and d-rounding rules we used for calculation. Note: We recommend readers who are not so well informed about apportionment problems and rounding rules see https://www.census.gov/library/video/2021/what-is-apportionment.html or https://www.census.gov/history/www/reference/apportionment/methods_of_apportionment.html.

Data interpretations for this dataset are as follows. 4 worksheets: all: prediction apportionment results of all configurations under the assumption that the membership remains unchanged and the total number of seats is between 705 (current total number of seats) and 750 (statutory threshold). no_lose: prediction apportionment results under the following assumptions: (1) the membership remains unchanged; (2) any Member State does not lose any seats from the current distribution of seats; (3) and the total number of seats is between 705 and 750. increase_no_lose: prediction apportionment results under the following assumptions: (1) the membership remains unchanged; (2) any Member State with an increasing population does not lose any seats from the current distribution of seats; (3) and the total number of seats is between 705 and 750. response: prediction apportionment results under the following assumptions: (1) the membership remains unchanged; (2) any Member State with an increasing population does not lose any seats from the current distribution of seats while any Member State with a decreasing population does not gain seats; (3) and the total number of seats is between 705 and 750. Meanings of column names: State: name of Member State of the European Union p_2011: population data from the 2011 census (data source: https://ec.europa.eu/eurostat/web/population-demography/population-housing-censuses/database) p_2021: population data from the 2021 census (data source: https://ec.europa.eu/eurostat/statistics-explained/index.php?title=Population_and_housing_census_2021_-_population_grids&stable=1#Distribution_of_European_population) stat_2020: current distribution of seats in the EP (data source: https://www.europarl.europa.eu/news/en/headlines/eu-affairs/20180126STO94114/infographic-how-many-seats-does-each-country-get-in-in-the-european-parliament) other columns: composed in the order of "a", "gamma", "d-rounding rule", and "the total number of seats (S)".

indexes_pop_2021_pred_2024.csv This is a dataset presenting the extent of the PSI-based inequality index (index based on Population Seat Index) and the conventional PSP-based index (index based on the proportion of seats to population) of all prediction apportionments of seats for the 2024 election of the European Parliament (EP). This prediction is based on population data from the 2021 census held by Eurostat. See our paper for the standard function, configurations of parameters, and d-rounding rules used for calculation and the PSI-based index and PSP-based index used for evaluation. Data interpretations for this dataset are as follows. Meanings of column names: a: configuration of the standard function gamma: configuration of the standard function rounding: d-rounding rule used for obtaining a whole number S: the total number of seats in the prediction x_min: the minimum number of seats in the prediction apportionment x_max: the maximum number of seats in the prediction apportionment inequality index: maximum of PSI divided by minimum of PSI psp_max/psp_min: maximum of PSP divided by minimum of PSP

We study the design of voting rules for committees representing heterogeneous groups (countries, states, districts) when cooperation among groups is voluntary. While efficiency recommends weighting groups proportionally to their stakes, we show that accounting for participation constraints entails overweighting some groups, those for which the incentive to cooperate is the lowest. When collective decisions are not enforceable, cooperation induces more stringent constraints that may require granting veto power to certain groups. In the benchmark case where groups differ only in their population size (i.e, the apportionment problem), the model provides a rationale for setting a minimum representation for smaller groups.

Apportionment file 11425067 retrieved from OMB public records

The TIGER/Line shapefiles and related database files (.dbf) are an extract of selected geographic and cartographic information from the U.S. Census Bureau's Master Address File / Topologically Integrated Geographic Encoding and Referencing (MAF/TIGER) Database (MTDB). The MTDB represents a seamless national file with no overlaps or gaps between parts, however, each TIGER/Line shapefile is designed to stand alone as an independent data set, or they can be combined to cover the entire nation. Congressional districts are the 435 areas from which people are elected to the U.S. House of Representatives. After the apportionment of congressional seats among the states based on census population counts, each state is responsible for establishing congressional districts for the purpose of electing representatives. Each congressional district is to be as equal in population to all other congressional districts in a state as practicable. The 118th Congress is seated from January 2023 through December 2024. In Connecticut, Illinois, and New Hampshire, the Redistricting Data Program (RDP) participant did not define the CDs to cover all of the state or state equivalent area. In these areas with no CDs defined, the code "ZZ" has been assigned, which is treated as a single CD for purposes of data presentation. The TIGER/Line shapefiles for the District of Columbia, Puerto Rico, and the Island Areas (American Samoa, Guam, the Commonwealth of the Northern Mariana Islands, and the U.S. Virgin Islands) each contain a single record for the non-voting delegate district in these areas. The boundaries of all other congressional districts reflect information provided to the Census Bureau by the states by August 31, 2022.

The U.S. Census counts every resident in the United States. It is mandated by Article I, Section 2 of the Constitution and takes place every 10 years. The basic purpose of the census is apportionment and redistricting. "Apportionment" is the process of dividing the 435 memberships, or seats, in the House of Representatives among the 50 states based on the population figures collected during the decennial census. "Redistricting" is the process of geographically defining state legislative districts. The census data allow state officials to realign congressional and state legislative districts in their states, taking into account population shifts since the last census and assuring equal representation for their constituents in compliance with the “one-person, one-vote” principle of the 1965 Voting Rights Act.

SENATE03 contains Maine State Senate Districts established by apportionment July 2, 2003, Final Order Maine Supreme Judicial Court. The dataset, in accordance with the apportionment, depicts district boundaries using US Census Bureau TIGER/Line Files 2000 mapped at 1:100,000. These districts are in effect for candidates participating in the June 8, 2004 Primary Election and November 2, 2004 General Election.

This layer represents the Arkansas State Senate district boundaries adopted by the Arkansas Board of Apportionment on July 29, 2011. The Board of Apportionment, members were Governor Mike Beebe, Secretary of State Mark Martin and Attorney General Dustin McDaniel. The Board's composition and purpose were created in 1936 by Amendment 23 to the Arkansas Constitution. The Board is responsible for redrawing 100 House and 35 Senate Districts so that each district meets various legal criteria, including each district being about the same size in population. This redistricting is required by law once every 10 years after the Federal Census. The District boundaries represent the legal boundary of each district. The boundaries were extracted from census block, voting district (VTD) or county boundaries in the 2010 Census files. A public record of the boundary plan is on file at the Elections Division of the Arkansas Secretary of State Office.

description: Congressional Districts are the 435 areas from which people are elected to the U.S. House of Representatives. After the apportionment of congressional seats among the States based on census population counts, each State is responsible for establishing congressional districts for the purpose of electing representatives. Each congressional district is to be as equal in population to all other congressional districts in a State as practicable. The congressional districts for the 113th Congress (January 2013 to 2015) are the first Congressional Districts based on 2010 Census data. The TIGER/Line shapefiles for the District of Columbia, Puerto Rico, and the Island Areas (American Samoa, Guam, the Commonwealth of the Northern Mariana Islands, and the U.S. Virgin Islands) each contain a single record for the non-voting delegate district in these areas. The boundaries of all other congressional districts are provided to the Census Bureau through the Redistricting Data Program (RDP); abstract: Congressional Districts are the 435 areas from which people are elected to the U.S. House of Representatives. After the apportionment of congressional seats among the States based on census population counts, each State is responsible for establishing congressional districts for the purpose of electing representatives. Each congressional district is to be as equal in population to all other congressional districts in a State as practicable. The congressional districts for the 113th Congress (January 2013 to 2015) are the first Congressional Districts based on 2010 Census data. The TIGER/Line shapefiles for the District of Columbia, Puerto Rico, and the Island Areas (American Samoa, Guam, the Commonwealth of the Northern Mariana Islands, and the U.S. Virgin Islands) each contain a single record for the non-voting delegate district in these areas. The boundaries of all other congressional districts are provided to the Census Bureau through the Redistricting Data Program (RDP)

This layer represents the Arkansas State House of Representatives district boundaries adopted by the Arkansas Board of Apportionment on July 29, 2011. The Board of Apportionment, members were Governor Mike Beebe, Secretary of State Mark Martin and Attorney General Dustin McDaniel. The Board's composition and purpose were created in 1936 by Amendment 23 to the Arkansas Constitution. The Board is responsible for redrawing 100 House and 35 Senate Districts so that each district meets various legal criteria, including each district being about the same size in population. This redistricting is required by law once every 10 years after the Federal Census. The District boundaries represent the legal boundary of each district. The boundaries were extracted from census block, voting district (VTD) or county boundaries in the 2010 Census files. A public record of the boundary plan is on file at the Elections Division of the Arkansas Secretary of State Office.

These data depict the 117th Congressional Districts and their representatives for the United States. Congressional districts are the 435 areas from which members are elected to the U.S. House of Representatives. After the apportionment of congressional seats among the states, which is based on decennial census population counts, each state with multiple seats is responsible for establishing con...

The TIGER/Line shapefiles and related database files (.dbf) (NTAD) are an extract of selected geographic and cartographic information from the U.S. Census Bureau's Master Address File / Topologically Integrated Geographic Encoding and Referencing (MAF/TIGER) Database (MTDB). The MTDB represents a seamless national file with no overlaps or gaps between parts, however, each TIGER/Line shapefile is designed to stand alone as an independent data set, or they can be combined to cover the entire nation. Congressional Districts are the 437 areas from which people are elected to the U.S. House of Representatives. After the apportionment of congressional seats among the States based on census population counts, each State is responsible for establishing congressional districts for the purpose of electing representatives. Each congressional district is to be as equal in population to all other congressional districts in a State as practicable. The congressional districts for the 114th Congress (January 2015 to 2017) are the second Congressional Districts based on 2010 Census data. The TIGER/Line shapefiles for the District of Columbia, Puerto Rico, and the Island Areas (American Samoa, Guam, the Commonwealth of the Northern Mariana Islands, and the U.S. Virgin Islands) each contain a single record for the non-voting delegate district in these areas. The boundaries of all other congressional districts are provided to the Census Bureau through the Redistricting Data Program (RDP).

The downloadable ZIP file contains Esri shapefiles and PDF maps. Contains the information used to determine the location of the new legislative and congressional district boundaries for the state of Idaho as adopted by Idaho's first Commission on Redistricting on March 9, 2002. Contains viewable and printable legislative and congressional district maps, viewable and printable reports, and importable geographic data files.These data were contributed to INSIDE Idaho at the University of Idaho Library in 2001. CD/DVD -ROM availability: https://alliance-primo.hosted.exlibrisgroup.com/permalink/f/m1uotc/CP71156191150001451These files were created by a six-person, by-partisan commission, consisting of six commission members, three democrats and three republicans. This commission was given 90 days to redraw congressional and legislative district boundaries for the state of Idaho. Due to lawsuits, the process was extended. This legislative plan was approved by the commission on March 9th, 2002 and was previously called L97. All digital data originates from TIGER/Line files and 2000 U.S. Census data.Frequently asked questions:How often are Idaho's legislative and congressional districts redrawn? Once every ten years after each census, as required by law, or when directed by the Idaho Supreme Court. The most recent redistricting followed the 2000 census. Redistricting is not expected to occur again in Idaho until after the 2010 census. Who redrew Idaho's legislative and congressional districts? In 2001, for the first time, Idaho used a citizens' commission to redraw its legislative and congressional district boundaries. Before Idaho voters amended the state Constitution in 1994 to create a Redistricting Commission, redistricting was done by a committee of the Idaho Legislature. The committee's new district plans then had to pass the Legislature before becoming law. Who was on the Redistricting Commission? Idaho's first Commission on Redistricting was composed of Co-Chairmen Kristi Sellers of Chubbuck and Tom Stuart of Boise and Stanley. The other four members were Raymond Givens of Coeur d'Alene, Dean Haagenson of Hayden Lake, Karl Shurtliff of Boise, John Hepworth of Buhl (who resigned effective December 4, 2001), and Derlin Taylor of Burley (who was appointed to replace Mr. Hepworth). What are the requirements for being a Redistricting Commissioner? According to Idaho Law, no person may serve on the commission who: 1. Is not a registered voter of the state at the time of selection; or 2. Is or has been within one (1) year a registered lobbyist; or 3. Is or has been within two (2) years prior to selection an elected official or elected legislative district, county or state party officer. (This requirement does not apply to precinct committeepersons.) The individual appointing authorities may consider additional criteria beyond these statutory requirements. Idaho law also prohibits a person who has served on the Redistricting Commission from serving in either house of the legislature for five years following their service on the commission. When did Idaho's first Commission on Redistricting meet? Idaho law allows the Commission only 90 days to conduct its business. The Redistricting Commission was formed on June 5, 2001. Its 90-day time period would expire on September 3, 2001. After holding hearings around the state in June and July, a majority of the Commission voted to adopt new legislative and congressional districts on August 22, 2001. On November 29th, the Idaho Supreme Court ruled the Commission's legislative redistricting plan unconstitutional and directed them to reconvene and adopt an alternative plan. The Commission did so, adopting a new plan on January 8, 2000. The Idaho Supreme Court found the Commission's second legislative map unconstitutional on March 1, 2002 and ordered the Commission to try again. The Commission adopted a third plan on March 9, 2002. The Supreme Court denied numerous challenges to this third map. It then became the basis for the 2002 primary and General elections and is expected to be used until the 2012 elections. What is the basic timetable for Idaho to redraw its legislative and congressional districts?Typically, and according to Idaho law, the Redistricting Commission cannot be formally convened until after Idaho has received the official census counts and not before June 1 of a year ending in one. Idaho's first Commission on redistricting was officially created on June 5, 2001. By law, a Commission then has 90 days (or until September 3, 2001 in the case of Idaho's first Commission) to approve new legislative and congressional district boundaries based on the most recent census figures. If at least four of the six commissioners fail to approve new legislative and congressional district plans before that 90-day time period expires, the Commission will cease to exist. The law is silent as to what happens next. Could you summarize the important dates for Idaho's first Commission on Redistricting one more time please? After January 1, 2001 but before April 1, 2001: As required by federal law, the Census Bureau must deliver to the states the small area population counts upon which redistricting is based. The Census Bureau determines the exact date within this window when Idaho will get its population figures. Idaho's were delivered on March 23, 2001. Why conduct a census anyway? The original and still primary reason for conducting a national census every ten years is to determine how the 435 seats in the United States House of Representatives are to be apportioned among the 50 states. Each state receives its share of the 435 seats in the U.S. House based on the proportion of its population to that of the total U.S. population. For example, the population shifts during the 1990's resulted in the Northeastern states losing population and therefore seats in Congress to the Southern and the Western states. What is reapportionment? Reapportionment is a federal issue that applies only to Congress. It is the process of dividing up the 435 seats in the U.S. House of Representatives among the 50 states based on each state's proportion of the total U.S. population as determined by the most recent census. Apportionment determines the each state's power, as expressed by the size of their congressional delegation, in Congress and, through the electoral college, directly affects the selection of the president (each state's number of votes in the electoral college equals the number of its representatives and senators in Congress). Like all states, Idaho has two U.S. senators. Based on our 1990 population of 1,006,000 people and our 2000 population of 1,293,953, and relative to the populations of the other 49 states, Idaho will have two seats in the U.S. House of Representatives. Even with the state's 28.5% population increase from 1990 to 2000, Idaho will not be getting a third seat in the U.S. House of Representatives. Assuming Idaho keeps growing at the same rate it did through the decade of the 1990's, it will likely be 30 or 40 years (after 3 or 4 more censuses) before Idaho gets a third congressional seat. What is redistricting? Redistricting is the process of redrawing the boundaries of legislative and congressional districts within each state to achieve population equality among all congressional districts and among all legislative districts. The U.S. Constitution requires this be done for all congressional districts after each decennial census. The Idaho Constitution also requires that this be done for all legislative districts after each census. The democratic principle behind redistricting is "one person, one vote." Requiring that districts be of equal population ensures that every elected state legislator or U.S. congressman represents very close to the same number of people in that state, therefore, each citizen's vote will carry the same weight. How are reapportionment and redistricting related to the census? The original and still primary reason for conducting a census every ten years is to apportion the (now) 435 seats in the U.S. House of Representatives among the several states. The census records population changes and is the legally recognized basis for redrawing electoral districts of equal population. Why is redistricting so important? In a democracy, it is important for all citizens to have equal representation. The political parties also see redistricting as an opportunity to draw districts that favor electing their members and, conversely, that are unfavorable for electing their political opposition. (It's for this reason that redistricting has been described as "the purest form of political bloodsport.") What is PL 94-171? Public Law (PL) 94-171 (Title 13, United States Code) was enacted by Congress in 1975. It was intended to provide state legislatures with small-area census population totals for use in redistricting. The law's origins lie with the "one person, one vote" court decisions in the 1960's. State legislatures needed to reconcile Census Bureau's small geographic area boundaries with voting tabulation districts (precincts) boundaries to create legislative districts with balanced populations. The Census Bureau worked with state legislatures and others to meet this need beginning with the 1980 census. The resulting Public Law 94-171 allows states to work voluntarily with the Census Bureau to match voting district boundaries with small-area census boundaries. With this done, the Bureau can report to those participating states the census population totals broken down by major race group and Hispanic origin for the total population and for persons aged 18 years and older for each census subdivision. Idaho participated in the Bureau's Census 2000 Redistricting Data Program and, where counties used visible features to delineate precinct boundaries, matched those boundaries with census reporting areas. In those instances where counties did not use visible features to

description: Congressional Districts are the 435 areas from which people are elected to the U.S. House of Representatives. After the apportionment of congressional seats among the states based on census population counts, each state is responsible for establishing congressional districts for the purpose of electing representatives. Each congressional district is to be as equal in population to all other congressional districts in a state as practicable. The 114th Congress is seated from January 2015 to 2017. The cartographic boundary files for the District of Columbia, Puerto Rico, and the Island Areas (American Samoa, Guam, the Commonwealth of the Northern Mariana Islands, and the U.S. Virgin Islands) each contain a single record for the non-voting delegate district in these areas. The boundaries of all other congressional districts are provided to the Census Bureau through the Redistricting Data Program (RDP).; abstract: Congressional Districts are the 435 areas from which people are elected to the U.S. House of Representatives. After the apportionment of congressional seats among the states based on census population counts, each state is responsible for establishing congressional districts for the purpose of electing representatives. Each congressional district is to be as equal in population to all other congressional districts in a state as practicable. The 114th Congress is seated from January 2015 to 2017. The cartographic boundary files for the District of Columbia, Puerto Rico, and the Island Areas (American Samoa, Guam, the Commonwealth of the Northern Mariana Islands, and the U.S. Virgin Islands) each contain a single record for the non-voting delegate district in these areas. The boundaries of all other congressional districts are provided to the Census Bureau through the Redistricting Data Program (RDP).

CNGRSS03 has been published as a Maine GIS layer to provide a digital copy of Maine's apportioned electoral districts to all Maine GIS users. The dataset is suitable for use with Maine GIS data derived from TIGER/Line Files 2000, i.e. BLKS00, MCDCCD00 and US Census Bureau data.

The 2020 cartographic boundary shapefiles are simplified representations of selected geographic areas from the U.S. Census Bureau's Master Address File / Topologically Integrated Geographic Encoding and Referencing (MAF/TIGER) Database (MTDB). These boundary files are specifically designed for small-scale thematic mapping. When possible, generalization is performed with the intent to maintain the hierarchical relationships among geographies and to maintain the alignment of geographies within a file set for a given year. Geographic areas may not align with the same areas from another year. Some geographies are available as nation-based files while others are available only as state-based files.

Congressional Districts are the 435 areas from which people are elected to the U.S. House of Representatives. After the apportionment of congressional seats among the states based on census population counts, each state is responsible for establishing congressional districts for the purpose of electing representatives. Each congressional district is to be as equal in population to all other congressional districts in a state as practicable. The 116th Congress is seated from January 2019 to 2021. The cartographic boundary files for the District of Columbia, Puerto Rico, and the Island Areas (American Samoa, Guam, the Commonwealth of the Northern Mariana Islands, and the U.S. Virgin Islands) each contain a single record for the non-voting delegate district in these areas. The boundaries of all other congressional districts are provided to the Census Bureau by the states by May 1, 2018.