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Inverse Probability of Treatment Weighting Propensity Score using the Military Health System Data Repository and National Death Index

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Published on: January 8, 2020

Proportional Borda allocations.

Andreas Darmann¹, Christian Klamler¹

¹Institute of Public Economics, University of Graz, Graz, Austria.

Social Choice and Welfare

|November 8, 2016

Summary

This study explores fair division of indivisible items using the Borda rule. We demonstrate that proportional allocations are achievable and computationally efficient under specific assumptions.

Area of Science:

Computer Science
Economics
Game Theory
Fair Division

Background:

Fair division of indivisible items is a growing research area.
Proportionality is a key fairness criterion, ensuring each agent receives at least 1/n of the total value.
Determining item values from ordinal rankings can be complex.

Purpose of the Study:

To investigate the feasibility of achieving proportional allocations of indivisible items.
To utilize the Borda rule for simplifying value determination from ordinal rankings.
To assess the computational complexity of finding such proportional allocations.

Main Methods:

Employing the Borda rule from voting theory to derive item values from agent rankings.

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Analyzing the conditions under which proportionality can be guaranteed.

Developing algorithms to find proportional allocations.

Main Results:

Proportional allocations are possible under certain assumptions, even with indivisible items.
The Borda rule facilitates value determination from ordinal rankings.
Finding proportional allocations is computationally efficient in these scenarios.

Conclusions:

The Borda rule offers a practical approach to fair division problems involving indivisible items.
Proportionality can be achieved efficiently in fair division contexts with specific constraints.
This research contributes to the computational aspects of fair allocation mechanisms.