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A method of assigning a global preference index

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  • Wojciech Maciejewski
  • Wojciech Kordecki

Abstract

The issue of decision-making has been examined based on the preferences of the entire population, when the preferences of a few subpopulations varying significantly in size are known. The purpose of assigning global preferences according to the coefficients proposed here was to avoid marginalising the preferences of the smaller subpopulations. The preference coefficients for the population have been assigned using a weighted arithmetic mean, where the weights are the square roots of the sizes of the subpopulations. This is similar to the voting system known as the “Jagiellonian compromise”. The statistical properties of these constants were presented in the context of decision making. These results have been illustrated by way of an example where the subpopulations exhibit significant differences, viz. students’ choice of an economics university in Lower Silesia, Poland.

Suggested Citation

  • Wojciech Maciejewski & Wojciech Kordecki, 2017. "A method of assigning a global preference index," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 27(2), pages 59-75.
    • Handle: RePEc:wut:journl:v:2:y:2017:p:59-75:id:1298
    DOI: 10.5277/ord170204
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    References listed on IDEAS

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    1. Stanisława Ostasiewicz & Walenty Ostasiewicz, 2000. "Means and their applications," Annals of Operations Research, Springer, vol. 97(1), pages 337-355, December.
    2. Monroe, Burt L., 1995. "Fully Proportional Representation," American Political Science Review, Cambridge University Press, vol. 89(4), pages 925-940, December.
    3. Chamberlin, John R. & Courant, Paul N., 1983. "Representative Deliberations and Representative Decisions: Proportional Representation and the Borda Rule," American Political Science Review, Cambridge University Press, vol. 77(3), pages 718-733, September.
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