Sport & Movement · Investigate

What does a scoring rule reward?

How can the same fictional play produce different results under two scoring systems?

Apply two transparent scoring rules to the same invented action record, then ask what each rule rewards.

15–25 minutes, or one comparison for a first try. More time is optional.

A has 3 near and 1 far hits; B has 1 near and 3 far. Both score 4 under equal points; weighted 1 / 3 scores are 6 and 10.
Same actions, a tie or a four-point gap. Open full-size diagram ↗

Start here

Copy two fictional four-hit records: Route A has 3 near hits and 1 far hit; Route B has 1 near hit and 3 far hits. Treat them as paper data, not real play.

Use your idea or the example below. Talk, write, draw, point or listen first. You can stop after one step.

Try it your way.

  1. Score every hit equally

    System 1 gives 1 point for any hit. A scores 3 + 1 = 4; B scores 1 + 3 = 4. Neither is ahead under this rule.

  2. Weight one category

    System 2 gives 1 point per near hit and 3 per far hit. A scores 3 × 1 + 1 × 3 = 6. B scores 1 × 1 + 3 × 3 = 10.

  3. Explain the changed result

    The actions did not change; the point mapping did. System 2 rewards far hits more strongly. State the rule beside the totals rather than presenting a score without its meaning.

  4. Check a limit

    The record has no misses, attempt difficulty or timing information. It cannot tell you which real strategy is best, whose skill is greater or whether a rule would feel fair to actual players.

One possible version

Same actions, a tie or a four-point gap

Both route records and scoring systems are original fictional examples.

  • Equal-hit scoring: A = 4 and B = 4.
  • Weighted scoring: A = 6 and B = 10, so B is ahead by 10−6 = 4 points.
  • The totals answer different rule-defined questions. If far hits were difficult, that would need separate evidence; it is not supplied by these totals.

A score is a defined summary, not a complete description of play or a judgement of a person.

A different way.

Use only one route and compare its two totals, or move paper counters into near/far columns. All results are already supplied; no competition is necessary.

If you want more.

Choose a new far-hit weight of 2. Recalculate A = 5 and B = 7, then explain how the score gap changed without changing the actions.

Something to keep?

Am I talking about the recorded actions, the scoring rule, or an unsupported judgement about a player?

You can keep a question, a sketch or a change of mind. A finished product is optional.

This opens an editable starter in your project tools. It asks before replacing open work. Choosing it does not save or share your work automatically.

← Choose another activityBring your own idea ↗