A Markov Analysis of Per Capita State and Local Police Expenditures and the Allocation Problem of Federal Aid

Operational Research Quarterly, Vol. 28, No. 2, 1977

University of Alberta School of Business Research Paper No. 2013-252

Posted: 31 May 2013

See all articles by Alice Orcutt Nakamura

Alice Orcutt Nakamura

University of Alberta - School of Business

Masao Nakamura

University of British Columbia (UBC) - Sauder School of Business

Date Written: July 19, 1977

Abstract

A Markov chain model is applied to analyze changes in real annual state and local police expenditures in the United States, where transition probabilities are functions of crime, demographic and economic variables. Of these variables, the inflation rate for state and local government expenditures and federal aid to state and local governments are assumed controllable by public policies. Then a mathematical programming problem is formulated to allocate a fixed amount of federal aid among the North Central states, in which the competing objectives are to maximize the sum of the weighted probabilities so that real per capita police expenditures will be increased in each of the North Central states in the following year while holding the rate of inflation in the state and local government sector to the present rate.

Suggested Citation

Nakamura, Alice Orcutt and Nakamura, Masao, A Markov Analysis of Per Capita State and Local Police Expenditures and the Allocation Problem of Federal Aid (July 19, 1977). Operational Research Quarterly, Vol. 28, No. 2, 1977, University of Alberta School of Business Research Paper No. 2013-252, Available at SSRN: https://ssrn.com/abstract=2270662

Alice Orcutt Nakamura (Contact Author)

University of Alberta - School of Business ( email )

2-32C Business Building
Edmonton, Alberta T6G 2R6
Canada

Masao Nakamura

University of British Columbia (UBC) - Sauder School of Business ( email )

2053 Main Mall
Vancouver, BC V6T 1Z2
Canada
604-822-8434 (Phone)
604-822-8477 (Fax)

Do you have a job opening that you would like to promote on SSRN?

Paper statistics

Abstract Views
279
PlumX Metrics