Different uses for voting
need different types of voting. |
Budget Coalitions |
This page shows how a group's share of seats affects its card costs under a square-root influence rule. The table below is copied from the Guide page of the Excel ballot. Below are four scenarios for setting the budget of one agency. The majority party, A, initiates a change in funding for this agency. The minority party, B, tries to keep the agency's budget constant. Last year's budget for this agency was $20,000. So a "neutral grant" for each of the 100 reps is $200; that is how much each ballot initially gives. (Numbers below are round to the nearest penny.) The scenarios show 1) a large coalition needs only modest grant changes by each member to counteract larger changes by each member of a small coalition. That is unsurprising. 2) But this rule makes card costs increase as grants gets further from neutral. So the majority has lower costs for each change than the minority. Therefore a minority will run out of cards long before a majority does -- letting the minority support only a few agencies. When adjusting many agencies, money and cards are limited, so each party must prioritize its spending goals. |
Majority for decreasing budget | Change | |||||
---|---|---|---|---|---|---|
Party | Reps | Grants | Cards | Budgeted | per card | Notes |
A B |
55 45 |
$171.71 $234.58 |
(4.0) 6.0 |
$9,444 $10,556 |
($7.07) $5.79 |
|
Total | 100 | $20,000 | ||||
Bigger majority for decreasing budget | Change | |||||
Party | Reps | Grants | Cards | Budgeted | per card | Notes |
A B |
60 40 |
$171.72 $242.42 |
(4.0) 9.0 |
$10.303 $9,697 |
($7.07) $4.71 |
This smaller minority must use 50% more cards. |
Total | 100 | $20,000 |
Neither major party can starve a department that the other strongly supports. But the minority reps will soon run out of cards. So they can maintain budgets for only a few of their favorite agencies. The smaller the minority, the fewer departments it can support. |
Majority for increasing budget | Change | |||||
---|---|---|---|---|---|---|
Party | Reps | Grants | Cards | Budgeted | per card | Notes |
A B |
55 45 |
$220. $175.56 |
2.0 (3.0) |
$12,100 $7,900 |
$10.00 ($8.18) |
|
Total | 100 | $20,000 | ||||
Bigger majority for increasing budget | Change | |||||
Party | Reps | Grants | Cards | Budgeted | per card | Notes |
A B |
60 40 |
$220. $170. |
2.0 (4.5) |
$13,200 $6,800 |
$10.00 ($6.67) |
This smaller minority must use 50% more cards. |
Total | 100 | $20,000 |
|