Skip to contents

ProbabilisticVote: choice probabilities, expected vote shares and (two candidates) win probability under logit, probit, Cauchy, Laplace or uniform utility-difference errors with valence. CandidateEquilibrium: alternating best responses of two vote-share maximisers on a grid. HotellingPriceLocation and SalopCircle: spatial price competition (d'Aspremont et al. 1979; Salop 1979). KalaiSmorodinsky: Nash and Kalai-Smorodinsky solutions on a piecewise-linear frontier. BaronFerejohn: closed-rule legislative bargaining. VoteTradingRikerBrams: logrolling and its welfare effect. PcaIdealPoints: principal-component ideal points.

Usage

ProbabilisticVote(
  ideals,
  positions,
  valence = NULL,
  beta = 1,
  error = "logit",
  weights = NULL,
  A = NULL
)

CandidateEquilibrium(
  ideals,
  grid,
  valence = c(0, 0),
  beta = 1,
  error = "logit",
  start = NULL,
  maxit = 100,
  A = NULL
)

HotellingPriceLocation(a, b, t = 1, c = 0)

SalopCircle(n = NULL, t = 1, c = 0, fixed_cost = NULL, length = 1)

KalaiSmorodinsky(frontier, disagreement = c(0, 0))

BaronFerejohn(n, delta = 1, quota = NULL)

VoteTradingRikerBrams(valuations)

PcaIdealPoints(votes, dims = 1)

Arguments

ideals

Ideal-point matrix.

positions

Candidate positions (matrix).

valence

Candidate valences.

beta

Spatial sensitivity.

error

Error distribution.

weights

Voter weights.

A

Salience vector or matrix.

grid

Candidate grid (matrix).

start

Starting positions (matrix, two rows).

maxit

Maximum iterations.

a, b

Firm locations from the left and right ends.

t

Transport cost.

c

Marginal cost.

n

Number of firms or legislators.

fixed_cost

Entry cost.

length

Market circumference.

frontier

Matrix of frontier points (increasing first utility).

disagreement

Disagreement point.

delta

Discount factor.

quota

Votes needed.

valuations

Voters x issues signed intensities.

votes

Legislator x roll-call matrix.

dims

Number of dimensions.

Value

List.

References

Enelow, J. M. and Hinich, M. J. (1984). The Spatial Theory of Voting. Cambridge University Press.

Groseclose, T. (2001). A model of candidate location when one candidate has a valence advantage. American Journal of Political Science 45, 862-886.

Baron, D. P. and Ferejohn, J. A. (1989). Bargaining in legislatures. American Political Science Review 83, 1181-1206.

Riker, W. H. and Brams, S. J. (1973). The paradox of vote trading. American Political Science Review 67, 1235-1247.

Examples

ProbabilisticVote(matrix(c(0, 1)), matrix(c(0, 1)))$shares
#> [1] 0.5 0.5
BaronFerejohn(5, 1)$proposer_share
#> [1] 0.6