A Formula For U.S. Election Outcomes


A Formula For U.S. Election Outcomes

I am wondering what the chances are for significant U.S. government action on the following ten issues, before 2022:

1. Equity of taxation
(popular/leveling vs. corporate/plutocratic),
2. Extract money from politics, kill Citizens United
(prosecute influence peddling and financial crimes),
3. climate change action (Green New Deal),
4. cut war spending, end the Yemen War
(and cut military-corporate subsidies),
5. Medicare-for-All
(versus insurance company gouging),
6. Social Security expansion
(versus general impoverishment for fat cat gains),
7. fund and staff welfare programs
(food, shelter, childcare, post-disaster assistance),
8. immigration reform and smart liberalization,
9. public school upgrades and teacher funding
(versus vouchers for resegregation; free college),
10. end subsidies for Christian xenophobia bigotry
(pursue Civil rights prosecutions, and Reparations).

This depends on what kinds of administrations we get as a result of national and state elections in 2020 and 2022. So, I devised a mathematical model of U.S. voting outcomes based on voter political affiliations and voting preferences. My aim is to have a tool to quantify my guesses about future election outcomes, so as to improve my speculations on when and to what degree desirable action will be taken on the ten issues stated. This exercise was better than being glum, dejected and confused about American politics, and this essay summarizes my findings. I based my model on voting behavior during U.S. presidential (quadrennial) elections instead of on midterm elections, but why not use it for both?

There were 7 of steps in devising this model: 1, determining the fractional composition of the American electorate by age brackets (15 of them); 2, finding the percent voter turnout by age bracket; 3, finding the party identification (both formal affiliation and casual identification) proportionally by age bracket; 4, collapsing all that data into the percent of the voting population that favors each of the three major U.S. political ideologies (from least to most amorphous): Republican, Democratic, and Independent; 5, examining the tabulated numerical date to divine the most general and instructive relationship, dependent on the fewest number of parameters, to devise a specific correlating and predictive mathematical formula; 6, calculate hypothetical results from this formula and then compare them (to the extent possible) with data on prior election outcomes; and 7, generalize the initial formula into an easily used estimating tool.

The Data

My source for population data was the U.S. Census Bureau [1]. On July 1, 2017, the US population was (officially) 325,719,178, and the voting age (18-85+) population (without considering legal barriers) was 252,018,630. I used data published by Charles Franklin on voter turnout as a function of age (https://medium.com/@PollsAndVotes/age-and-voter-turnout-52962b0884ef), [2]. I collapsed Franklin’s smooth data curve (for voter turnout, by age, to presidential elections) into 15 single values of percent turnout, one for each of the 15 age brackets: 18-19, 20-24, 25-29, 30-34, 35-39, 40-44, 45-49, 50-54, 55-59, 60-64, 65-69, 70-74, 75-80, 80-84, 85 and up. Turnout for teen and early 20s voters is 47%-55% (17%-25% for midterms), and turnout increases steadily with age, reaching a broad peak between 80% and 85% for voters 55 to 80 years old (70% to 73% for ages 62 to 79, for midterms). The population between 18 and 34 years (16 year span) is 75,913,971; the population between 60 and 79 years (19 year span) is 58,412,409. The population between 55 and 79 (24 year span) is 80,420,365; the population between 18 and 39 (21 year span) is 97,145,968. Voters between the ages of 18 and 29 (11 year span) contribute 17% of the presidential vote; voters between the ages of 50 and 59 (9 year span) contribute 19% of the presidential vote. Ah, poor youth, condemned to struggle and strive in a country (and world) shaped and directed by the crabbed and brittle prejudices of a smaller number of futureless self-satisfied property owners.

Party affiliation is of two types: being a reliable voter to a party you are registered with, or being an independent voter who will admit to “leaning” (in the voting booth) to the Democrats or Republicans, especially when you are alarmed or enthused about a particular election or issue. Those voters who refuse to declare a duopolistic party allegiance or even a “lean” are the staunch Independents. The Gallup organization has published data on the percent of voters who are Democrats, Republicans, and Independents, as well as leaners to the Democrats and Republicans, by age (https://news.gallup.com/poll/172439/party-identification-varies-widely-across-age-spectrum.aspx), [3]. Using this data, I lumped leaners in with declared party loyalists (respectively, for Republicans and Democrats), and then for each of the 15 age brackets assigned three numerical factors for the percentage of the age bracket voting in each of three modes: Republican, Democratic or Independent. From all the data described to this point, I was able to calculate, for each age bracket, the percent of the presidential vote that went to the Republican and Democratic parties, and to the Independent category. I summed up the results for the 15 age brackets to get an overall composition of the entire voting population, and rounded the final numbers slightly for convenience, to arrive at: 45% Democratic, 40.5% Republican, and 14.5% Independent. I will call this the “baseline.”

Note that all the data described above refers to conditions between 2014 and 2017.

The Formula (!)

If people voted consistently with their declared affiliations, we would have a continuous sequence of Democratic Party administrations; but people don’t, so we have flux and upheaval. In fact, the outcome of our national elections is driven by the surreptitious faithlessness of our tight-lipped (to pollsters at least) Independent voters. Our staunch Independent voters number between 1-in-8 (12.5%) to 1-in-5 (20%) of the voting population, and this fraction varies geographically and over time, in mysterious ways. What actually happens with Independents in the privacy of their voting booths is that they make individual choices about individual issues and candidates, and for each of these they vote in one of three ways: Democratic, Republican, or for one of the myriad of Independent options available, including abstention. So, the 14.5% (to take a fixed number for now) of the voting population that is incorrigibly Independent actually splits into three fractions during voting (quantified here as percentages of the Independent voting population only): I%D, I%R, and I%I. The label I%D represents the percentage of the Independents who voted Democratic in a particular election. Similarly, I%R corresponds to the percentage of the Independents who supplied Republican votes, and I%I corresponds to the percentage of the Independents who remained purely Independent. Note that I%D + I%R + I%I = 100%.

The 4.5% advantage Democrats have over Republicans nationally, based on my calculations (the baseline), can easily be overcome by a 5% or greater net contribution of Republican votes from the Independents. For example, if the Independent population splits: 50% Republican, 5.2% Democratic, and 44.8% staunch Independent (50% + 5.2% + 44.8% = 100% of the Independent population) then they contribute, nationally: 7.2% for Republicans (50% of the 0.145 fraction of the national vote made up of Independents), 0.8% for Democrats (5.2% of their 0.145 national fraction), and 6.5% (44.8% of their 0.145 national fraction) for Independent candidates. The result for the national election becomes: 47.7% Republican (40.5% + 7.2%), 45.8% Democratic (45% + 0.8%), and 6.5% Independent (14.5% – 7.2% – 0.8%). Note that 47.7% + 45.8% + 6.5% = 100% of the national vote. In this case the Republicans win the election with a 2.0% lead (with slight rounding).

By calculating several examples, as just shown, one can arrive at the following equation for election outcomes (for the duopoly horse race).

D-R = 4.5% + [0.145 x (I%D – I%R)].

In words: the percentage difference between Democrats and Republicans in national elections is equal to 4.5% plus the fraction 0.145 multiplied by the difference between the percentage of the Independent voting population that voted Democratic, and the percentage of the Independent voting population that voted Republican. The calculation for the previous example is as follows:

D-R = 4.5% + [0.145 x (5.2% – 50%)] =
D-R = 4.5% + [0.145 x (-44.8%)] =
D-R = 4.5% + [-6.5%]
D-R = -2%

Democrats lose, numerically, by 2%. Also, the actual vote going to Independents nationally is:

Actual Independent Vote Nationally =
14.5% (Independents) – 7.2% (to R) – 0.8% (to D) = 6.5%.

After playing a while with the duopoly horse race estimator formula, give above, I realized one can generalize it further.

D-R = D0 + [Fl x (I%D – I%R)].

D-R = percentage difference between Democrats and Republicans, from election.
D0 = percentage advantage (+) or disadvantage (-) for Democrats, based on affiliations.
FI = the fraction (not percentage) of the voting population that is Independent.
I%D = the percentage of the Independent population that chooses D (this time).
I%R = the percentage of the Independent population that chooses R (this time).
I%I = the percentage of the Independent population that remains I (this time).
Note that: I%D + I%R + I%I = 100%.

So far here, I have used D0 = 4.5%, and FI = 0.145. However, you can choose different numbers based on your own survey of population, voter turnout and party affiliation data, or on your intuition about a particular electoral contest. As mentioned earlier, estimates of FI can range between 0.125 (1/8) to 0.2 (1/5), and perhaps beyond.

Comparing To Previous Elections

I have not found data on the population sizes and voting splits of the Independent voting contingent in previous elections. It would be nice to validate the formula using such data. While the assumptions underpinning this model may not be representative of conditions in all prior US elections, we can nevertheless use prior election results to calculate inferences about what might have been the voting behavior of Independent voters in the past. To do that, we assume that the baseline (40.5% R, 14.5% I, 45% D), which was calculated from 2014-2017 data, has been constant (or nearly constant) since 1968. Here are the calculated inferences on how Independents voted in elections since 1968, based on the known national outcomes.

1968, Nixon
R. Nixon (R) 43.4% vs. H. Humphrey (D) 42.7% vs. G. Wallace (I) 13.5%
Remainder of the national vote is 0.4%
Independents contribute 14.5% of the national vote
Independents split: 77.2% (Wallace), 20% (R), 0% (D), 2.8% (I).

1972, Nixon
R. Nixon (R) 60.7% vs. G. McGovern (D) 37.5%
Remainder of the national vote is 1.8%
Independents contribute 14.5% of the national vote
Independents split: 87.6% (R), 0% (D), 12.4% (I)

1976, Carter
J. Carter (D) 50.1% vs. G. Ford (R) 48%
Remainder of the national vote is 1.9%
Independents contribute 14.5% of the national vote
Independents split: 51.7% (R), 35.2% (D), 13.1% (I)

1980, Reagan
R. Reagan (R) 50.7% vs. J. Carter (D) 41% vs. J. Anderson (I) 6.6%
Remainder of the national vote is 1.7%
Independents contribute 14.5% of the national vote
Independents split: 42.8% (R), 0% (D), 45.5% (Anderson), 11.7% (I)

1984, Reagan
R. Reagan (R) 58.8% vs. W. Mondale (D) 40.6%
Remainder of the national vote is 0.6%
Independents contribute 14.5% of the national vote
Independents split: 95.9% (R), 0% (D), 4.1% (I)

1988, Bush Sr.
G.H.W. Bush (R) 53.4% vs. M. Dukakis (D) 45.6%
Remainder of the national vote is 1.0%
Independents contribute 14.5% of the national vote
Independents split: 89% (R), 4.1% (D), 6.9% (I)

1992, Clinton
W. Clinton (D) 43% vs. G.H.W. Bush (R) 37.4% vs. R. Perot (I) 18.9%
Remainder of the national vote is 0.7%
Independents contribute 14.5% of the national vote
Independents split: 0% (R), 0% (D), 95.2% (Perot), 4.8% (I)

1996, Clinton
W. Clinton (D) 49.2% vs. R. Dole (R) 40.7% vs. R. Perot (I) 8.4%
Remainder of the national vote is 1.7%
Independents contribute 14.5% of the national vote
Independents split: 1.4% (R), 29% (D), 58% (Perot), 11.6% (I)

2000, Bush Jr.
G. Bush (R) 47.9% vs. A. Gore (D) 48.4%
Remainder of the national vote is 3.7%
Independents contribute 14.5% of the national vote
Independents split: 51% (R), 23.5% (D), 25.5% (I)
Bush appointed despite a 0.5% deficit.

2004, Bush Jr.
G. Bush (R) 50.7% vs. J. Kerry (D) 48.3%
Remainder of the national vote is 1.0%
Independents contribute 14.5% of the national vote
Independents split: 70.3% (R), 22.8% (D), 6.9% (I)

2008, Obama
B. Obama (D) 52.9% vs. J. McCain (R) 45.7%
Remainder of the national vote is 1.4%
Independents contribute 14.5% of the national vote
Independents split: 35.9% (R), 54.4% (D), 9.7% (I)

2012, Obama
B. Obama (D) 51.1% vs. M. Romney (R) 47.2%
Remainder of the national vote is 1.7%
Independents contribute 14.5% of the national vote
Independents split: 46.2% (R), 42.1% (D), 11.7% (I)

2016, Trump
D. Trump (R) 46.1% vs. H. Clinton (D) 48.2%
Remainder of the national vote is 5.7%
Independents contribute 14.5% of the national vote
Independents split: 38.6% (R), 22.1% (D), 39.3% (I)
Trump appointed despite a 2.1% deficit.

The 2.1% Republican Credit

In the 2000 election, G. Bush (R) had a 0.5% deficit and was still appointed the 43rd President of the United States of America.

In the 2016 election, H. Clinton (D) gained a 2.1% lead over D. Trump (R) – the same lead J. Carter (D) used to win in 1976 – and yet Trump was appointed the 45th President of the United States of America.

These “deficit wins” were due to a combination of nefarious factors: the Electoral College, pro-Republican judicial bias, voter suppression efforts (in both R and D varieties), vote counting sabotage, and undoubtedly other forms of creative incompetence.

So, today we must assume that because of embedded structural irregularities in the American electoral mechanism, that Democrats must gain more than a 2.1% advantage over Republicans in order to win national elections.

I easily concede that my simple clean mathematical formula does not contain the full range of rascally dirty realities in American electoral spectacles.

Dreams Of DSA Utopia

Could a significant politically leftward sentiment ever take hold among the Independent voting population, and this cause a leftward shift in electoral outcomes? The more socialist (or democratic-socialist, or progressive, of left) the legislators, executives and administrations that result from near-future elections, the more likely the ten issues I listed at the beginning would get serious attention – and action!

W. Clinton (D) won in 1996 with an 8.5% advantage. His Democratic administration was pure corporate, no different from center-right Republican policy before Reagan. I assume that if the voting population turned further away from Republicans, and more in favor of the most socialist-oriented Democratic candidates, that the resulting Democratic administrations would be less corporate-oriented (yes, I know this is magical thinking at present).

So, perhaps a Democratic victory with a 12.5% advantage would result in a Democratic administration that is a half-and-half mixture of corporate (DNC type) Democrats and socialist (DSA type) Democrats, and then some serious nibbling would occur on the ten issues. Mathematically, this could result if the hypothetical Independents split: 55.2% (D), 0% (R), and 44.8% stayed pure (I). The projected national election result would be 53% Democratic, 40.5% Republican, and 6.5% Independent.

An even better though less likely occurrence would be a socialist Democratic Party that gains a 16.5% electoral advantage, driving the Republican Party to extinction (instead of us!). Using the formula, we can infer an Independent split of: 82.8% (D), 0% (R), 17.2% pure (I). The projected national election result would be 57% Democratic, 40.5% Republican, 2.5% Independent.

The ultimate fantasy is of all Independents becoming enthusiastic DSA socialists, so they would add their 14.5% of the national vote to a socialist Democratic Party, with a projected electoral result of: 59.5% Democratic (pure DSA), 40.5% Republican, 0% Independent. An electorate that could accomplish this would empower national and state administrations that would address the ten issues listed earlier, with vigor and all the resources – human, material, and intangible – available to this rich nation.

However improbable the last scenario – of a Socialist political tsunami – appears in the United States of today, I think it is better to keep it in mind as a vision (more easily done if you are young), rather than acidly disparaging and brusquely dismissing it (more likely done by the old and bitter), because it can help motivate useful activism and kind action from those who want a better world with fairer politics and economics, and know that it is humanly possible to get it.


[1] Annual Estimates of the Resident Population for Selected Age Groups by Sex for the United States, States, Counties, and Puerto Rico Commonwealth and Municipios: April 1, [use above title to search in “2017 Population Estimates,” link below is just a start]

[2] Age and Voter Turnout (Charles Franklin)

[3] Party Identification Varies Widely Across the Age Spectrum


Voting Illusions and Reality, 2012

Right now there is such a torrent of televised, internet and printed commentary on the US national election of 2012, and yet so little clear perspective for the general public. How could it be otherwise when every commentator and media outlet has a bias to push? What escapes many members of the public is that both of the major parties (the Democrats and Republicans) have a much greater degree of consensus than they like to admit, and that this consensus is on the fundamental purpose of the US government, which is: to use money and arms to serve corporate capitalism. The how and why of this reality is explained in the following article, which includes a general purpose guide for any voter (or non-voter) in this election, and a suggestion to go beyond voting to create social change.

Voting Illusions And Reality 2012
8 October 2012


While “Voting Illusions And Reality 2012” is the most comprehensive article I have written on US electoral politics, its core synthesis was clearly presented four years ago in the article “On Voting (A Ritual of Justifying Biases).” Out of curiosity about the accuracy of my punditry, I reviewed my articles on US elections since 2004. I find that I have had the same bundle of ideas about US electoral politics all this time, but that the bundle became better organized in 2008. I list the articles below, for those who want to recall the previous appearances of the the same “lesser evil” dilemma. Do you think it will be any different in 2016?

McCain Versus Kerry?
21 June 2004
(Voting is restricted to a popularity contest between two corporate capitalist candidates, the Democratic Party being entirely corporate capitalist and excluding left/progressive policies while expecting leftists to vote Democratic as the lesser evil.)

What Your Vote Means
20 September 2004
(Vote the Molly Ivins way, for maximum compassion from between the two allowed corporate/imperial candidates. Voting maintains the status quo, change is effected by social action beyond voting)

The Roots of Corruption (Election 2006)
9 November 2006
(The Democratic-Republican duopolistic consensus is to have elections change nothing, since the two parties are just opposite sides of the same corporate capitalist coin. If one side become badly tarnished the nation’s managers just flip to the shinier side and act as if the public has been given a new coin of different currency.)

Paying No Attention to the Presidential Campaigns
11 January 2008
(Corporate capitalism and its American Empire own the voting game. Anti-capitalist candidates are excluded. The election determines the hierarchy of pork barrel payoffs within the ranks of the corporate owners of the game. The public gets the leavings and the bones — if any — of the corporate feasting on public resources.)

Obama and the Psychic Auto-Shrink-Wrapping Called Race in America
20 March 2008
(Obama is a careerist corporate capitalist candidate with nothing substantive to offer leftists, socialists, anti-capitalists, for if he did he wouldn’t be allowed to be a candidate. His value to corporate capitalism is the popularity of his imagery with blacks and traditional liberal Democratic voters, on whom the policies of corporate capitalism are predatory.)

Running Mates From The Imaginary Plane
6 May 2008
(A comedy based on the idea that the leading candidates are all of the same corporate capitalist type, so they can be interchanged between the Democratic and Republican Parties.)

On Voting (A Ritual of Justifying Biases)
8 August 2008
(My clearest analysis of corporate capitalism controlled US voting, prior to “Voting Illusions And Reality 2012.”)

Dear Democrats, About 2012…
27 July 2010,
(Criticizing the duopolistic Democratic Party by listing the policies I would wish a progressive Democratic Party, or a viable anti-capitalist third party to act on.)

Bayesian Bargains: Jail, Shopping, Debt, and Voting
30 January 2012
(Voting for the lesser evil is logically analyzed, and solved by action beyond voting: “a person clear about their commitments and willing to accept the costs of maintaining them will always see the right choice to make.”)


Democratic Despair Votes

Who would you rather have ordering drone strikes in Central Asia: Barack Obama or Mitt Romney?

Who would you rather have shave off the last layers of the social contract: Mitt Romney or Barack Obama?

Who would you rather allow the Israelis to consume Palestine: Barack Obama or Mitt Romney?

How is a bleeding heart liberal Democrat to vote and keep a soul?

Democratic Despair Votes
24 September 2012

Despair is fate’s alert to think outside your confining logic bubble.