makeFormulas: Model formula construction
In games: Statistical Estimation of Game-Theoretic Models
Description
Usage
Arguments
Details
Value
Author(s)
See Also
Examples
Description
Interactive prompt for constructing model formulas.
Usage
1
makeFormulas(model, outcomes)
Arguments
model
name of the model (must be from the games package) for
which to make a formula.
outcomes
character vector with descriptions of the possible outcomes
of the game (see "Details" for a more precise explanation)
Details
All of the staistical models in the games package require the
specification of multiple model formulas, as each player's utility is a
function of potentially different regressors. The number of equations to
specify ranges from two in ultimatum to eight in
egame123. makeFormulas is an interactive tool to
simplify the specification process.
To use makeFormulas, specify the model you want to fit (model)
and descriptions of the outcomes of the game (outcomes). The order
of the descriptions in outcomes should match the numbering in the
game tree in the help page for model. For example, with
egame122, the order is:
Player 1 moves Left, Player 2 moves Left
Player 1 moves Left, Player 2 moves Right
Player 1 moves Right, Player 2 moves Left
Player 1 moves Right, Player 2 moves Right
If the dependent variable in the dataset (dat) is a factor (y)
whose levels contain the descriptions, then either outcomes = dat$y
or outcomes = levels(dat$y) will work.
As an example, consider the following use of egame122. Player
1 is the legislature, which can propose budget cuts (left on the game tree)
or increases (right). Player 2 is the president, who can sign or veto the
legislature's budget proposal (left and right respectively). The variables
of interest are the president's party (presparty), the legislature's
party (legparty), and the year's percentage GDP growth
(growth). To construct the formulas for this case, run
makeFormulas(egame122, outcomes = c("budget cuts passed",
"budget cuts vetoed", "budget increase passed", "budget increase vetoed")).
The first set of options that appears is
1
2
3
4
5
6
To specify this utility as a function of a constant, the legislature's
party, and GDP growth, select option 4 and enter legparty growth
at the prompt. makeFormulas will then move on to ask about Player
1's utility for the other three outcomes, followed by Player 2's utility for
the outcomes for which her utility is not fixed to 0 (see
egame122). See "Examples" below for a full example of the
input and constructed formula in this case.
It is not necessary to use makeFormulas to specify model
formulas. See the help file of each model for examples of "manually" making
the formula.
Value
An object of class "Formula", typically to be used as the
formulas argument in a statistical model from the games
package.
Author(s)
Brenton Kenkel (brenton.kenkel@gmail.com)
See Also
Formula (and the Formula package generally) for
the details of how games deals with multiple model formulas.
Examples
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## Not run:
R> f1 <- makeFormulas(egame122, outcomes = c("budget cuts passed",
"budget cuts vetoed", "budget increase passed", "budget increase vetoed"))
---
Equation for player 1's utility from budget cuts passed:
1: fix to 0
2: intercept only
3: regressors, no intercept
4: regressors with intercept
Selection: 4
Enter variable names (separated by spaces):
legparty growth
---
Equation for player 1's utility from budget cuts vetoed:
1: fix to 0
2: intercept only
3: regressors, no intercept
4: regressors with intercept
Selection: 2
---
Equation for player 1's utility from budget increase passed:
1: fix to 0
2: intercept only
3: regressors, no intercept
4: regressors with intercept
Selection: 4
Enter variable names (separated by spaces):
legparty growth
---
Equation for player 1's utility from budget increase vetoed:
1: fix to 0
2: regressors, no intercept
Selection: 1
---
Equation for player 2's utility from budget cuts vetoed:
1: fix to 0
2: intercept only
3: regressors, no intercept
4: regressors with intercept
Selection: 4
Enter variable names (separated by spaces):
presparty growth
---
Equation for player 2's utility from budget increase vetoed:
1: fix to 0
2: intercept only
3: regressors, no intercept
4: regressors with intercept
Selection: 4
Enter variable names (separated by spaces):
presparty growth
---
What is the name of the dependent variable in the dataset? (If stored as
action indicators/dummies, separate their names with spaces.)
budgincrease veto
R> f1
budgincrease + veto ~ legparty + growth | 1 | legparty + growth |
0 | presparty + growth | presparty + growth
## End(Not run)
games documentation built on May 2, 2019, 3:26 p.m.
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Description Usage Arguments Details Value Author(s) See Also Examples
Description
Interactive prompt for constructing model formulas.
Usage
1 | makeFormulas(model, outcomes)
|
Arguments
model |
name of the model (must be from the games package) for which to make a formula. |
outcomes |
character vector with descriptions of the possible outcomes of the game (see "Details" for a more precise explanation) |
Details
All of the staistical models in the games package require the
specification of multiple model formulas, as each player's utility is a
function of potentially different regressors. The number of equations to
specify ranges from two in ultimatum to eight in
egame123. makeFormulas is an interactive tool to
simplify the specification process.
To use makeFormulas, specify the model you want to fit (model)
and descriptions of the outcomes of the game (outcomes). The order
of the descriptions in outcomes should match the numbering in the
game tree in the help page for model. For example, with
egame122, the order is:
Player 1 moves Left, Player 2 moves Left
Player 1 moves Left, Player 2 moves Right
Player 1 moves Right, Player 2 moves Left
Player 1 moves Right, Player 2 moves Right
If the dependent variable in the dataset (dat) is a factor (y)
whose levels contain the descriptions, then either outcomes = dat$y
or outcomes = levels(dat$y) will work.
As an example, consider the following use of egame122. Player
1 is the legislature, which can propose budget cuts (left on the game tree)
or increases (right). Player 2 is the president, who can sign or veto the
legislature's budget proposal (left and right respectively). The variables
of interest are the president's party (presparty), the legislature's
party (legparty), and the year's percentage GDP growth
(growth). To construct the formulas for this case, run
makeFormulas(egame122, outcomes = c("budget cuts passed",
"budget cuts vetoed", "budget increase passed", "budget increase vetoed")).
The first set of options that appears is
1 2 3 4 5 6 |
To specify this utility as a function of a constant, the legislature's
party, and GDP growth, select option 4 and enter legparty growth
at the prompt. makeFormulas will then move on to ask about Player
1's utility for the other three outcomes, followed by Player 2's utility for
the outcomes for which her utility is not fixed to 0 (see
egame122). See "Examples" below for a full example of the
input and constructed formula in this case.
It is not necessary to use makeFormulas to specify model
formulas. See the help file of each model for examples of "manually" making
the formula.
Value
An object of class "Formula", typically to be used as the
formulas argument in a statistical model from the games
package.
Author(s)
Brenton Kenkel (brenton.kenkel@gmail.com)
See Also
Formula (and the Formula package generally) for
the details of how games deals with multiple model formulas.
Examples
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 | ## Not run:
R> f1 <- makeFormulas(egame122, outcomes = c("budget cuts passed",
"budget cuts vetoed", "budget increase passed", "budget increase vetoed"))
---
Equation for player 1's utility from budget cuts passed:
1: fix to 0
2: intercept only
3: regressors, no intercept
4: regressors with intercept
Selection: 4
Enter variable names (separated by spaces):
legparty growth
---
Equation for player 1's utility from budget cuts vetoed:
1: fix to 0
2: intercept only
3: regressors, no intercept
4: regressors with intercept
Selection: 2
---
Equation for player 1's utility from budget increase passed:
1: fix to 0
2: intercept only
3: regressors, no intercept
4: regressors with intercept
Selection: 4
Enter variable names (separated by spaces):
legparty growth
---
Equation for player 1's utility from budget increase vetoed:
1: fix to 0
2: regressors, no intercept
Selection: 1
---
Equation for player 2's utility from budget cuts vetoed:
1: fix to 0
2: intercept only
3: regressors, no intercept
4: regressors with intercept
Selection: 4
Enter variable names (separated by spaces):
presparty growth
---
Equation for player 2's utility from budget increase vetoed:
1: fix to 0
2: intercept only
3: regressors, no intercept
4: regressors with intercept
Selection: 4
Enter variable names (separated by spaces):
presparty growth
---
What is the name of the dependent variable in the dataset? (If stored as
action indicators/dummies, separate their names with spaces.)
budgincrease veto
R> f1
budgincrease + veto ~ legparty + growth | 1 | legparty + growth |
0 | presparty + growth | presparty + growth
## End(Not run)
|
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