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Local And Global Sd-Strategy-Proofness Of Ordinal Mechanisms On Block-Connected Domains, Peng Liu

Research Collection School Of Economics

The adjacency by Monjardet (2009) is weakened to a flip between two adjacently ranked blocks and called block-adjacency. The connectedness defined accordingly, blockconnectedness, covers some interesting unconnected domains. An ordinal mechanism on a block-connected domain is block-adjacent sd-strategy-proof if reporting the true preference always leads to a lottery that stochastically dominates the lottery delivered by reporting any preference block-adjacent to the sincere one.A condition on a block-connected domain called path-nestedness is proposed and shown sufficient for the equivalence between sd-strategy-proofness and block-adjacent sd-strategy-proofness. The sequentially dichotomous domain by Liu (2017) is an application. In addition, we systematically search for the …