In a linear production model, we characterize the class of efficient and strategy-proof allocation functions, and the class of efficient and coalition strategy-proof allocation functions. In the former class, requiring equal treatment of equals allows us to identify a unique allocation function. This function is also the unique member of the latter class which satisfies uniform treatment of uniforms.
Université de MontréalCRDE and Department of Economics
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Maniquet, F., & Sprumont, Y. (1999). Efficient strategy-proof allocation functions in linear production economies. Economic Theory, 14(3), 583-595. https://doi.org/10.1007/s001990050341 (Original work published 1999)