Coalition Formation Game
05 November 2026
The Game
How do party goals affect electoral competition and coalition formation?
- Work in groups: each group represents a party.
- Choose an ideological position, compete in an election, and negotiate a government.
- Your goal: maximize your own party’s points.
Preparation
- Form 3–7 parties
- Each party secretly draws a motive: office, policy, or both. Keep it secret until the final scoring stage.
- At game setup, we select:
- Possible voter distributions and the number of cabinet portfolios (5–10).
- Whether opposition parties can receive policy points.
- The app generates 1,000 voters on an ideological scale from 0 (left) to 100 (right).
The Election
- Every party chooses a position between 0 and 100.
- Voters choose the ideologically nearest party; ties are resolved randomly.
- Votes are translated proportionally into 100 parliamentary seats.
- The app displays the composition of parliament.
An absolute majority requires 51 seats.
Coalition Bargaining
- Formateur: The party with the most seats makes the first proposal.
- Parties respond in descending order of seat share and may make counterproposals.
- Negotiate four things:
- Which parties form the government.
- Which party gets the head of government.
- How the ministerial portfolios are allocated.
- The government’s agreed policy position (0–100).
How to Score
| Office |
10 Points per portfolio |
| Policy |
\(60 - \lvert Coalition Position-PartyPosition\rvert\) |
| Both |
\(\dfrac{OfficePts.+PolicyPts.}{2}\) |
- Head of Governments grants 20 Points!
- Negative policy points are possible.
- Office points are available only to coalition parties.
- At setup, we decide whether opposition parties can earn policy points. If not, their policy component is zero.
Example: One Party, Three Motives
Party A is at position 30. The coalition agrees on 50. Party A holds 3 portfolios and the head of government.
- Office component: \(3\times10=30\).
- Policy component: \(60-|30-50|=40\).
- Head-of-government bonus: 20.
| Office |
\(30+20=\mathbf{50}\) |
| Policy |
\(40+20=\mathbf{60}\) |
| Both |
\((30+40)/2+20=\mathbf{55}\) |