Coalitionally strategy-proof rules in allotment economies with homogeneous indivisible goods
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We consider the allotment problem of homogeneous indivisible goods among agents with single-peaked and risk-averse von Neumann–Morgenstern expected utility functions. We establish that a rule satisfies coalitional strategy-proofness, same-sideness, and strong symmetry if and only if it is the uniform probabilistic rule. By constructing an example, we show that if same-sideness is replaced by respect for unanimity, this statement does not hold even with the additional requirements of no-envy, anonymity, at most binary, peaks-onlyness and continuity.
KeywordsUtility Function Marginal Distribution Deterministic Model Probabilistic Rule Division Problem
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- Benassy J-P (1982) The economics of market disequilibrium. Academic Press, New YorkGoogle Scholar
- Ehlers L, Klaus B (2003) Probabilistic assignments of identical indivisible objects and uniform probabilistic rules. Rev Econ Des 8: 249–268Google Scholar
- Hatsumi K, Serizawa S (2009) Supplementary note for “coalitionally strategy-proof rules in allotment economies with homogeneous indivisible goods.” ISER Discussion Paper 686. http://www.iser.osaka-u.ac.jp/library/dp/index.html
- Kureishi W (2000) A simple characterization of the randomized uniform rule. Working Paper, Osaka UniversityGoogle Scholar
- Kureishi W, Mizukami H (2007) Equal probability for the best and the assignment of identical indivisible objects. Econo Bull 4–8: 1–10Google Scholar
- Sasaki H (1997) Randomized uniform allocation mechanism and single-peaked preferences of indivisible goods. Working Paper, Waseda UniversityGoogle Scholar
- Thomson W (1994b) Resource-monotonic solutions to the problem of fair division when preferences are single-peaked. Soc Choice Welf 11: 205–223Google Scholar