Tensions in Practice: The order of votes can select the winner¶
Three members and three proposals
Three members rank proposals A>B>C, B>C>A, and C>A>B. In a head-to-head vote, A beats B, B beats C, and C beats A, each by two votes to one. Compare two agendas that keep the winner of the first vote to face the remaining proposal. Every ballot stays the same; the order changes the final winner.
Use direct majority comparisons
Decide each contest by which proposal more members rank above the other.
Make agenda power visible
Expose the discretion held by whoever chooses the sequence.
Why these aims pull against each other
A cycle supplies no proposal that wins every pairwise contest. A sequential procedure must start somewhere, and that starting point can determine the final result.
Choose an arrangement to see what changes and what remains difficult.
Arrows show the stated work, authority, or access paths. Position, length, and color do not measure time, risk, cost, or performance.
What this choice protects
What it costs
When it fits
Compare the arrangements
Vote A against B first
A beats B; the surviving A then loses to C.
- What it protects
- Provides a simple finite procedure and honors each local majority.
- What it costs
- Selects C through this agenda even though B would beat C directly.
- When it fits
- Plausible if an announced neutral ordering happens to put A and B first and the group accepts the agenda rule.
Illustration note: This is an editorial, deliberately bounded illustration. Its stated rules and any numbers are invented, not observations, recommended settings, or predictions.
Vote B against C first
B beats C; the surviving B then loses to A.
- What it protects
- Uses the same finite majority procedure with a different announced sequence.
- What it costs
- Selects A even though C would beat A directly; changing order has changed the decision.
- When it fits
- Plausible under a prior ordering that puts B and C first, with the same acceptance of agenda dependence.
Illustration note: This is an editorial, deliberately bounded illustration. Its stated rules and any numbers are invented, not observations, recommended settings, or predictions.
What this illustration does—and does not—establish
The source establishes the structural tension; the concrete alternatives and their conditional costs are editorial synthesis. No arrangement is a universal recommendation.
- The three rankings are the source’s standard cyclic profile. Neither agenda is presented as more legitimate; fixing or randomizing an agenda does not create a pairwise winner.
- The example concerns sequential pairwise voting, not every election procedure.
Source entries
Social Choice
Social choice T 4 supplies the local tension. The setting, alternative arrangements, and stipulated consequences are editorial applications.
Agenda and Path Dependence (order determines outcome)
Under sequential-comparison rules, the order in which alternatives are introduced can decide the winner — whoever controls the agenda can exploit a Condorcet cycle to engineer any result.