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https://github.com/mieuxvoter/majority-judgment-library-go

A Golang module to deliberate polls using Majority Judgment, using a score-based algorithm for performance and scalability
https://github.com/mieuxvoter/majority-judgment-library-go

golang majority-judgment political-science poll

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A Golang module to deliberate polls using Majority Judgment, using a score-based algorithm for performance and scalability

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# Majority Judgment for Golang

[![MIT](https://img.shields.io/github/license/MieuxVoter/majority-judgment-library-go?style=for-the-badge)](LICENSE.md)
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A Golang module to deliberate using Majority Judgment to rank proposals/candidates.
Majority Judgment is a simple, subtle and fair voting system.

## Features

- **score-based algorithm**, for performance and scalability
- supports billions of judgments with almost the same cost as dozens
- supports thousands of proposals per poll
- default judgment balancing tools: static grade, median grade

## Installation

go get -u github.com/mieuxvoter/majority-judgment-library-go

It exposes the package `judgment`, for concision, since the repo name itself is quite long and we can't rename it.

> It's a pre-release. We still have some int types that may change until v1.

## Usage

Say you have the following tally:

![Example of a merit profile](./docs/2-2-2-2-2_2-1-1-1-5_2-1-1-2-4_2-1-5-0-2_2-2-2-2-2.png)

You can compute out the majority judgment rank of each proposal like so:

```go
package main

import (
"fmt"
"github.com/mieuxvoter/majority-judgment-library-go/judgment"
"log"
)

func main() {

pollTally := &(judgment.PollTally{
AmountOfJudges: 10,
Proposals: []*judgment.ProposalTally{
{Tally: []uint64{2, 2, 2, 2, 2}}, // Proposal A Amount of judgments received for each grade,
{Tally: []uint64{2, 1, 1, 1, 5}}, // Proposal B from "worst" grade to "best" grade.
{Tally: []uint64{2, 1, 1, 2, 4}}, // Proposal C Make sure all tallies are balanced, that is they
{Tally: []uint64{2, 1, 5, 0, 2}}, // Proposal D hold the same total amount of judgments.
{Tally: []uint64{2, 2, 2, 2, 2}}, // Proposal E Equal proposals share the same rank.
// …
},
})
deliberator := &(judgment.MajorityJudgment{})
result, err := deliberator.Deliberate(pollTally)

if nil != err {
log.Fatalf("Deliberation failed: %v", err)
}

// Proposals results are ordered like tallies, but Rank is available.
// result.Proposals[0].Rank == 4 // Proposal A
// result.Proposals[1].Rank == 1 // Proposal B
// result.Proposals[2].Rank == 2 // Proposal C
// result.Proposals[3].Rank == 3 // Proposal D
// result.Proposals[4].Rank == 4 // Proposal E

// You may also use proposals sorted by Rank ; their initial Index is available
// result.ProposalsSorted[0].Index == 1 // Proposal B
// result.ProposalsSorted[1].Index == 2 // Proposal C
// result.ProposalsSorted[2].Index == 3 // Proposal D
// result.ProposalsSorted[3].Index == 0 // Proposal A
// result.ProposalsSorted[4].Index == 4 // Proposal E

fmt.Printf("Best Proposal Index: %d\n", result.ProposalsSorted[0].Index)

}
```

### Balancing uneven proposals

Sometimes, some proposals receive more judgments than others, and the tallies are unbalanced.
In those cases, a _default judgment_ strategy has to be picked:

#### Static Default Grade

Missing (or "I don't know") judgments are considered of a grade defined in advance,
usually `to reject` in order to incentivize proposals to be explicit and clear.

You may use `PollTally.BalanceWithStaticDefault(defaultGrade)` to that effect:

```go
pollTally := &PollTally{
AmountOfJudges: 10,
Proposals: []*ProposalTally{
{Tally: []uint64{2, 1, 2, 2, 1}}, // Proposal A
{Tally: []uint64{3, 1, 3, 1, 1}}, // Proposal B
{Tally: []uint64{0, 1, 1, 0, 0}}, // Proposal C
// …
},
}
defaultGrade := 0
pollTally.BalanceWithStaticDefault(defaultGrade)

// pollTally was mutated and now contains balanced proposals' tallies
// pollTally.Proposals[0].Tally == {4, 1, 2, 2, 1} // Proposal A is now balanced
// pollTally.Proposals[1].Tally == {4, 1, 3, 1, 1} // Proposal B is now balanced
// pollTally.Proposals[2].Tally == {8, 1, 1, 0, 0} // Proposal C is now balanced
```

#### Median Default Grade

Same behavior as static, but the default grade for each proposal is its median grade.

Use `PollTally.BalanceWithMedianDefault()`.

#### Normalization

> Not implemented yet ; would require either `math/big` for LCM or floating-point arithmetic
> This is part of why deciding on int types is so tricky.

## License

`MIT` 🐜

## Contribute

This project needs a review by `Go` devs.
Feel free to suggest changes, report issues, make improvements, etc.

Some more information is available in [`docs/`](./docs).