New variable-population paradoxes for resource allocation
We identify previously unnoticed ways in which agents can strategically distort allocation rules, by affecting the set of “active” agents. (i) An agent withdraws with his endowment. (ii) He gives control of his endowment to someone else and withdraws. (iii) He invites someone in and let him use some of his endowment. (iv) He pre-delivers to some other agent the net trade that the rule would assign to that second agent if that second agent had participated. In (i) and (ii), he and his co-conspirator may end up controlling resources that allow them to reach higher welfare levels than they otherwise would. In (iii) and (iv), he may end up with a bundle that he prefers to the one he would have been assigned had he not engaged in the manipulation. We show that (i) the Walrasian rule is not “withdrawing-proof”, nor “endowments-merging–proof, nor “endowments-splitting–proof”, but that it is “pre-delivery–proof”, and that (ii) canonical selections from the egalitarian-equivalence-in-trades solutions satisfy none of the properties.
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- Aumann, R. J. & Peleg, B., 1974. "A note on Gale's example," Journal of Mathematical Economics, Elsevier, vol. 1(2), pages 209-211, August.
- Moulin, Hervé, 2008. "Proportional scheduling, split-proofness, and merge-proofness," Games and Economic Behavior, Elsevier, vol. 63(2), pages 567-587, July.
- Elisha A. Pazner & David Schmeidler, 1975.
"Egalitarian Equivalent Allocations: A New Concept of Economic Equity,"
174, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Pazner, Elisha A & Schmeidler, David, 1978. "Egalitarian Equivalent Allocations: A New Concept of Economic Equity," The Quarterly Journal of Economics, MIT Press, vol. 92(4), pages 671-87, November.
- Sertel, Murat & Yildiz, Muhamet, 2004. "Core is manipulable via segmentation," Journal of Economic Theory, Elsevier, vol. 118(1), pages 103-117, September.
- JU, Biung-Ghi & MORENO-TERNERO, Juan D., 2006. "Progressivity, inequality reduction and merging-proofness in taxation," CORE Discussion Papers 2006075, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Biung-Ghi Ju & Juan Moreno-Ternero, 2011.
"Progressive and merging-proof taxation,"
International Journal of Game Theory,
Springer, vol. 40(1), pages 43-62, February.
- Biung-Ghi Ju & Juan D. Moreno-Ternero, 2009. "Progressive and merging-proof taxation," Working Papers 09.12, Universidad Pablo de Olavide, Department of Economics.
- Biung-Ghi Ju & Juan D. Moreno-Ternero, 2009. "Progressive and merging-proof taxation," Working Papers 2009-7, Universidad de Málaga, Department of Economic Theory, Málaga Economic Theory Research Center.
- JU, Biung-Ghi & MORENO-TERNERO, Juan D., . "Progressive and merging-proof taxation," CORE Discussion Papers RP 2280, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- SCHMEIDLER, David & VIND, Karl, .
"Fair net trades,"
CORE Discussion Papers RP
131, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Postlewaite, Andrew, 1979. "Manipulation via Endowments," Review of Economic Studies, Wiley Blackwell, vol. 46(2), pages 255-62, April.
- Ju, Biung-Ghi & Miyagawa, Eiichi & Sakai, Toyotaka, 2007. "Non-manipulable division rules in claim problems and generalizations," Journal of Economic Theory, Elsevier, vol. 132(1), pages 1-26, January.
- Chichilnisky, Graciela & Thomson, William, 1987. "The walrasian mechanism from equal division is not monotonic with respect to variations in the number of consumers," Journal of Public Economics, Elsevier, vol. 32(1), pages 119-124, February.
- M. Angeles de Frutos, 1999. "Coalitional manipulations in a bankruptcy problem," Review of Economic Design, Springer, vol. 4(3), pages 255-272.
- Sonmez, Tayfun, 1999. "Can Pre-arranged Matches Be Avoided in Two-Sided Matching Markets?," Journal of Economic Theory, Elsevier, vol. 86(1), pages 148-156, May.
- Gale, David, 1974. "Exchange equilibrium and coalitions : An example," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 63-66, March.
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