Note on social choice allocation in exchange economies with many agents
We show that in pure exchange economies there exists no Pareto-efficient and strategy-proof allocation mechanism that ensures positive consumption for all agents. We also show that a Pareto-efficient, strategy-proof, and non-bossy allocation mechanism is dictatorial. We further show that in three-agent economies, the allocation given by a Pareto-efficient, strategy-proof, and non-dictatorial mechanism depends only on one agentʼs preference who is always allocated zero consumption. That is, in three-agent economies, Zhouʼs (1991)  conjecture is true and any Pareto-efficient and strategy-proof mechanism is of Satterthwaite and Sonnenscheinʼs (1981)  type.
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- Mark A. Satterthwaite & Hugo Sonnenschein, 1981. "Strategy-Proof Allocation Mechanisms at Differentiable Points," Review of Economic Studies, Oxford University Press, vol. 48(4), pages 587-597.
- Kannai, Yakar, 1970. "Continuity Properties of the Core of a Market," Econometrica, Econometric Society, vol. 38(6), pages 791-815, November.
- Takeshi Momi, 2013. "Note on social choice allocation in exchange economies with Cobb–Douglas preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(3), pages 787-792, March.
- Biung-Ghi Ju, 2003. "Strategy-proofness versus efficiency in exchange economies: General domain properties and applications," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 21(1), pages 73-93, 08.
- Kazuhiko Hashimoto, 2008. "Strategy-proofness versus efficiency on the Cobb-Douglas domain of exchange economies," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(3), pages 457-473, October.
- Serizawa, Shigehiro, 2002. "Inefficiency of Strategy-Proof Rules for Pure Exchange Economies," Journal of Economic Theory, Elsevier, vol. 106(2), pages 219-241, October.
- Serizawa, Shigehiro & Weymark, John A., 2003.
"Efficient strategy-proof exchange and minimum consumption guarantees,"
Journal of Economic Theory,
Elsevier, vol. 109(2), pages 246-263, April.
- Shigehiro Serizawa & John A. Weymark, 2002. "Efficient Strategy-Proof Exchange and Minimum Consumption Guarantees," Vanderbilt University Department of Economics Working Papers 0216, Vanderbilt University Department of Economics, revised Aug 2002.
- Miki Kato & Shinji Ohseto, 2002. "Toward general impossibility theorems in pure exchange economies," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(3), pages 659-664.
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