### Abstract

A model for the optimal allocation of resources in presidential primaries is described, under the assumption that two candidates seek to maximize their expected delegate vote in a sequential game that allows for momentum transfer from earlier to later contests. Specifically, the model assumes that the probability that a voter in a primary state votes for a particular candidate is a function of both the resources that candidate and his opponent allocate to that primary and their performances in the immediately preceding primary - and indirectly on all earlier primaries. Given that the candidates make equal (optimal) allocations to each primary, a local maximum, which heavily emphasizes the earlier primaries, is found. Several modifications in the basic model are discussed. Preliminary financial expenditure data are used to test the basic model for the 1976 primaries, and some cursory comparisons with 1980 are made. Possible normative implications of changes in the primary rules are briefly considered, particularly with respect to inequities the present rules seem to engender.

Original language | English (US) |
---|---|

Pages (from-to) | 373-388 |

Number of pages | 16 |

Journal | Mathematical Social Sciences |

Volume | 3 |

Issue number | 4 |

DOIs | |

State | Published - 1982 |

### Fingerprint

### Keywords

- Campaign resource allocation
- primary campaign

### ASJC Scopus subject areas

- Sociology and Political Science
- Social Sciences(all)
- Psychology(all)
- Statistics, Probability and Uncertainty

### Cite this

*Mathematical Social Sciences*,

*3*(4), 373-388. https://doi.org/10.1016/0165-4896(82)90019-1

**Optimal resource allocation in presidential primaries.** / Brams, Steven; Davis, Morton D.

Research output: Contribution to journal › Article

*Mathematical Social Sciences*, vol. 3, no. 4, pp. 373-388. https://doi.org/10.1016/0165-4896(82)90019-1

}

TY - JOUR

T1 - Optimal resource allocation in presidential primaries

AU - Brams, Steven

AU - Davis, Morton D.

PY - 1982

Y1 - 1982

N2 - A model for the optimal allocation of resources in presidential primaries is described, under the assumption that two candidates seek to maximize their expected delegate vote in a sequential game that allows for momentum transfer from earlier to later contests. Specifically, the model assumes that the probability that a voter in a primary state votes for a particular candidate is a function of both the resources that candidate and his opponent allocate to that primary and their performances in the immediately preceding primary - and indirectly on all earlier primaries. Given that the candidates make equal (optimal) allocations to each primary, a local maximum, which heavily emphasizes the earlier primaries, is found. Several modifications in the basic model are discussed. Preliminary financial expenditure data are used to test the basic model for the 1976 primaries, and some cursory comparisons with 1980 are made. Possible normative implications of changes in the primary rules are briefly considered, particularly with respect to inequities the present rules seem to engender.

AB - A model for the optimal allocation of resources in presidential primaries is described, under the assumption that two candidates seek to maximize their expected delegate vote in a sequential game that allows for momentum transfer from earlier to later contests. Specifically, the model assumes that the probability that a voter in a primary state votes for a particular candidate is a function of both the resources that candidate and his opponent allocate to that primary and their performances in the immediately preceding primary - and indirectly on all earlier primaries. Given that the candidates make equal (optimal) allocations to each primary, a local maximum, which heavily emphasizes the earlier primaries, is found. Several modifications in the basic model are discussed. Preliminary financial expenditure data are used to test the basic model for the 1976 primaries, and some cursory comparisons with 1980 are made. Possible normative implications of changes in the primary rules are briefly considered, particularly with respect to inequities the present rules seem to engender.

KW - Campaign resource allocation

KW - primary campaign

UR - http://www.scopus.com/inward/record.url?scp=0040608231&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0040608231&partnerID=8YFLogxK

U2 - 10.1016/0165-4896(82)90019-1

DO - 10.1016/0165-4896(82)90019-1

M3 - Article

AN - SCOPUS:0040608231

VL - 3

SP - 373

EP - 388

JO - Mathematical Social Sciences

JF - Mathematical Social Sciences

SN - 0165-4896

IS - 4

ER -