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An algorithm for identifying least manipulable envy‐free and budget‐balanced allocations in economies with indivisibilities

Tommy Andersson and Lars Ehlers

International Journal of Economic Theory, 2022, vol. 18, issue 1, 50-60

Abstract: We analyze the problem of allocating indivisible objects and monetary compensations to a set of agents. In particular, we consider envy‐free and budget‐balanced rules that are least manipulable with respect to agents counting or with respect to utility gains. A key observation is that, for any profile of quasi‐linear preferences, the outcome of any such least manipulable envy‐free rule can be obtained via so‐called agent‐ k‐linked allocations. Given this observation, we provide an algorithm for identifying agent‐ k‐linked allocations.

Date: 2022
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https://doi.org/10.1111/ijet.12300

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Working Paper: An Algorithm for Identifying Least Manipulable Envy-Free and Budget-Balanced Allocations in Economies with Indivisibilities (2021) Downloads
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