Title: On the Structure of the Division Rules
Speaker: Soumyarup Sadhukhan, Indira Gandhi Institute of Development Research (IGIDR).
Date: 9th Nov 2020
Time:10 AM.
Abstract: We consider the problem of dividing one unit of an infinitely divisible object among a finite number of agents. We provide a characterization of all single-peaked domains on which the uniform rule is the unique division rule satisfying efficiency, strategy-proofness, and equal treatment of equals (ETE). We also provide a class of division rules satisfying these properties on the remaining single-peaked domains. Next, we consider non-single-peaked domains and provide a characterization of all such domains on which the uniform rule satisfies efficiency, strategy-proofness, and ETE. We also show that under some mild richness conditions the uniform rule is the unique rule satisfying the mentioned properties on these domains. Finally, we provide a class of division rules satisfying efficiency, strategy-proofness, and ETE on the remaining non-single-peaked domains. We conclude the paper by providing a wide range of applications to justify the usefulness of our results. This is joint work with Souvik Roy.
Speaker Bio: Soumyarup has obtained his Ph.D. in Economics from the Economic Research Unit of ISI Kolkata. During his Ph.D., he has worked in the areas of mechanism design, random social choice theory, and division problem, and has published in top journals such as Mathematics of Operations Research, Journal of Economic Theory, Economic Theory, and Journal of Mathematical Economics. He did his B.Sc. in Statistics from Narendrapur Ramakrishna Mission and M.Stat in Statistics from ISI Kolkata. Currently, he is working as a research assistant under Prof. Rupayan Pal of IGIDR.