Below, we present an interactive illustration of cyclical majorities. We discuss the theory behind this in chapter 2 and the related online exercise. In the plot below, you can see actors A, B, C, D, and E that were described in the book. Your task is to propose a policy compromise to these five actors that they can all agree on. You can do this by clicking on any point in the grid. Following your click, the plot will change, and you will see indifference curves for each actor (What are indifference curves? Read up on them in chapter 2). Now that you made an initial proposal, ask yourself if there is a proposal that can beat your proposal in a simple majority vote. The proposal that gets more votes wins. If so, you can click on the plot again to propose that compromise as the new policy.

Using this panel, please answer the following questions:

1. Is it possible to find a proposal that has a majority over all other possible proposals?

2. What arrangement of actors would make it easier to find a proposal that can generate a consistent majority?

3. Which procedural rules could make it easier to find a compromise?