The purpose of this game is to simulate a United States presidential election with two players, one managing the Democratic Party and the other the GOP.  The player will choose the candidates and decide on a weekly basis how to allocate campaign funds among the states.  They will be able to check their candidates' standings in the polls and use this to determine their future campaign decisions.

Prior to the party conventions, the standings between the two parties are balanced.  The breakdown of the states is as follows.

Strongly Democratic ( Polls: 55% to 45%) Nine states, 125 Electoral Votes

         California, Connecticut, Delaware, Maine, Maryland, Massachusettes, New York, Vermont, and D.C.

Leaning Democratic (Polls: 51.5% to 48.5%) Seven states, 81 Electoral Votes

          Hawaii, Illinois, Michigan, Minnesota, New Jersey, New Mexico, and Washington.

Barely Democratic (Polls: 50.5% to 49.5%) Six states, 63 Electoral Votes

          Iowa, Oregon, Pennsylvania, Rhode Island, Virginia and Wisconsin

Barely Republican (Polls: 49.5% to 50.5%) Five states, 63 Electoral Votes

          Colorado, Florida, Nevada, New Hampshire, and Ohio.

Leaning Republican (Polls: 48.5% to 51.5%) Nine states, 81 Electoral Votes

          Alaska, Arizona, Arkansas, Georgia, Indiana, Mississippi, Missouri, Montana, and North Carolina.

Strongly Republican (Polls: 45% to 55%) Fifteen states, 125 Electoral Votes

         Alabama, Idaho, Kansas, Kentucky, Louisiana, Nebraska, North Dakota, Oklahoma, South Carolina, South Dakota, Tennesse, Texas, Utah, West Virginia, and                  Wyoming.

Prior to the official start of the campaign season around Labor Day, the parties hold primaries and conventions to choose their Presidential and Vice Presidential nominees.  Each player will choose the nominees for his or her party.  Each candidate has certain advantages and disadvantages depending upon where he or she might be popular or unpopular; for example, the polls will move in favor of a candidate in his or her home state.

Because the 2016 Republican convention will be held first, the Republican player will choose first.  The available candidates for the Republican nominations are Carly Fiorina (Former CEO of Hewlett-Packard), Rand Paul (Senator, Kentucky),  Rick Santorum (Former Senator, Pennsylvania), Jeb Bush (Former Governor, Florida), Ben Carson (Physician), Chris Christie (Governor, New Jersey), Ted Cruz (Senator, Texas), Lindsey Graham (Senator, South Carolina), Donald Trump (Businessman, New York), Marco Rubio (Senator, Florida), Rick Perry (Former Governor, Texas), Abraham Lincoln (Representative, Illinois), Ulysses S. Grant (General, Illinois), Teddy Roosevelt (Vice-President, New York), and Dwight Eisenhower (General, Kansas).

Enter one of the following codes to choose your Presidential (GOPP) and Vice-Presidential  (GOPVP) candidates.

Fiorina, Paul, Santorum, Bush, Carson, Christie, Cruz, Graham, Trump, Rubio, Perry, Lincoln, Grant, TRoosevelt, Eisenhower

Now it's the Democratic player's turn. The Candidates that you may choose from are the following. Lincoln Chafee (Former Governor/Senator, Rhode Island), Joe Biden (Vice President, United States), Martin O'Malley (Former Governor, Maryland), Bernie Sanders (Former Mayor, Vermont), Hillary Clinton (Former Senator, New York), Elizabeth Warren (Senator, Massachusetts), Jim Webb (Former Senator, Virginia), Claire McCaskill (Senator, Missouri), Janet Napolitano (Former Secretary, Homeland Security), Mark Warner (Senator, Virginia), Michael Bennet (Senator, Colorado),  Andrew Jackson (General, Tennessee), Martin VanBuren (Vice-President, New York), Franklin Roosevelt  (Governor, New York) and John F. Kennedy (Senator, Massachusetts).

Enter one of the following codes to choose your Presidential (DEMP) and Vice-Presidential  (DEMVP) candidates.

Chafee, OMalley, Sanders, Warren, HClinton, Biden, Webb, McCaskill, Napolitano, Warner, Bennet, Jackson, VanBuren, FDR, JFK

Now enter the following line to view the changes to the polling data relevant to your candidate choices.

Game play will proceed as follows.  Each player has 100 million dollars of campaign funds to allocate each week.  These funds cannot be carried over into the following week, so it is in the player's best interest to use as much of their funding as possible per turn.  The cost of campaigning in each state is roughly proportional to the state's population and is listed below.

When you campaign in a state, the polls in that state will shift.  You can gain up to an additional 1.5% in your polls in that state, but it's also possible that something you do offends the state's voters. To reflect this, there is a chance to instead lose up to 0.5% each time you campaign in a state.

One note regarding strategy; in actual presidential elections, candidates rarely campaign in the states that are leaning strongly in one direction or the other.  In this game it is possible, but difficult, to move these states from strong support to a roughly toss-up status. If the players' goal is to model something approaching a realistic presidential campaign, they should focus their attention on states in the "leaning" and "barely" categories.

Once you decide on the states that you want to campaign in, you need to fund your campaigns. For each week of the campaign, expand the appropriate cell and enter a list of the states that you want to campaign in.  Each state should be entered spelled out, with each word capitalized but no spaces between words.  Make sure that your spelling is correct.  As an example, if the Federalist party wanted to campaign in California, The District of Columbia, Ohio and New Jersey, their funding command would look like this.

      >  FEDFund := [California, DistrictofColumbia, Ohio, NewJersey];

In this section, you simply need to click inside each cell and hit the "enter" key to execute the general election in that state.  The elections are listed in the order that the last polls close in that state.  Once a candidate reaches 270 electoral votes, he or she is elected President, but you can continue the election to see how you did all across the country.

If you would like to see your election results on an electoral map, there are many good electoral college calculators on line.  One nice option can be found at the 270 to win website at <http://www.270towin.com/>.

The cost structure for campaigning in the various states is obviously a simplistic one, the cost is $1,000,000 per seat in the House of Representatives.  This illustrates an important characteristic of the Electoral College, the "small state bias."  In reality, because of the differences in the ratio of voters to electoral votes it is more cost effective to campaign in the small states.  It is this small state bias that creates the possibility of an "electoral inversion" where one candidate wins the popular vote but the other wins the electoral college and therefore the election.

The initial poll standings are based on the average margin of victory in each state for the 1992 through 2012 Presidential Elections.  States were shifted, generally to the right, so that the number of electoral votes in each category (eg. Strong Republican, Leaning Republican, etc...) are exactly balanced out.  The poll numbers chosen for each state are set to make everything at least somewhat competitive and so certain standings, like those in DC or Utah are far from realistic.

If you want to try to use this game with an actual set of poll numbers you can edit the poll numbers in start up code section (This will require you to restart the MAPLE server).  These are defined in the "SetPolls" process and look like this:  FloridaPolls := .505.  The number entered is the relative strength of the Democratic candidate compared to the Republican candidate so to enter your own poll, you should replace each number with the result of the following calculation.

The electoral college numbers are entered in the SetElectionData process as lower case state abbreviations, such as "ny" for New York.  To model a historical election, you can change these values to the appropriate numbers.  If you are modeling an election and have entered your own poll numbers DO NOT execute the DemocraticCandidates() and RepublicanCandidates() processes.

One bit of accuracy that was sacrificed for the sake of playability is the relative funds that were available to the candidates.  In reality one side probably has a funding advantage over the other.  For example in 2008, the Obama campaign was much better funded than the McCain campaign.  If you'd like to play the game under these circumstances, you can open the startup code, find the BudgetCheck process and locate the two places where the line

     if WeeklyExpenditureDEM <= 100 then print...

appears and change the values to numbers of your choosing.  

Instructors should notice that historical candidates are allowed as choices, but recall that the initial poll standings are based on modern strengths of the Democratic and Republican parties.  Because of this some odd and possibly disconcerting results will occur, such as Abraham Lincoln doing well in the south.  Such results should lead to discussions, for example, of the 1860 election and of how the parties and the regions of the country have changed over the years.

The fifty-one state elections generated on Election Day are randomly determined based on the poll numbers after the eighth week of campaigning.  Elections are simulated using roughly 1000 voters, approximating the margin of error of most opinion polls.  Because these elections are randomly generated, the candidate leading in the polls in a state may not win that state and identical sets of poll results can lead to different winning candidates.

This application was created using MAPLE 15.  It is an updated version of "A Presidential Election Game, 2012 Edition."  Work on the original game was started in the Elmira College class "A Mathematician Looks At American History," MAT 1940.  The initial game and the revisions that created the 2016 version were completed as part of the Elmira College Summer Research Program in 2015.  The game was inspired, in part, by a game called "The Next President" that one of the authors played in junior high school in 1977.  Readers interested in tracking and simulating elections are encouraged to seek out the many good websites on the topic during the next election cycle.  Among these are <www.fivethirtyeight.com> and <www.electoral-vote.com>.  

Kolacinski, J.F., Culpepper, A., Mercier, N. "A Presidential Election Game, 2012 Edition". MapleSoft Application Center.

http://www.maplesoft.com/applications/view.aspx?SID=123473

Saari, Donald G. Chaotic Elections! A Mathematician Looks at Voting. Amercian Mathematical Society. 2001.

http://ozeanmedia.com/political-research/2016-presidential-the-path-to-270-part-3/ accessed on 10 June 2015.

http://www.electoral-vote.com/evp2004/info/blank_map.png accessed on 15 June 2015.

http://www.politico.com/magazine/story/2015/05/2016-predictions-117554.html#.VYAxnvlVhHx accessed on 10 June 2015.

http://www.270towin.com/ accessed on 10 June 2015.

Many individual election and biography pages at Wikipedia such as:

http://2016.democratic-candidates.org/  accessed on 10 June 2015.

http://2016.republican-candidates.org/ accessed on 10 June 2015.

https://en.wikipedia.org/wiki/Joe_Biden accessed on 12 June 2015.

https://en.wikipedia.org/wiki/Michael_Bennet accessed on 12 June 2015.

https://en.wikipedia.org/wiki/Martin_O'Malley accessed on 12 June 2015.

https://en.wikipedia.org/wiki/Democratic_Party_presidential_primaries,_2012 accessed on 12 June 2015.

https://en.wikipedia.org/wiki/Patrick_Leahy accessed on 12 June 2015.

https://en.wikipedia.org/wiki/Results_of_the_Republican_Party_presidential_primaries,_2012#Major_candidates accessed on 12 June 2015.

https://en.wikipedia.org/wiki/Rick_Perry accessed on 12 June 2015.

https://en.wikipedia.org/wiki/Carly_Fiorina accessed on 12 June 2015.