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A Study of the Nucleolus in the Nested Cost-sharing Problem: Axiomatic and Strategic Perspectives (with Cheng-Cheng Hu and Min-Hung Tsay, published in GAMES AND ECONOMIC BEHAVIOR)

  • Author Cheng-Cheng Hu
    Chun-Hsien Yeh
    Min-Hung Tsay
  • Abstract We investigate the nucleolus from both axiomatic and strategic perspectives in the nested cost-sharing problem in which the cost of a public facility has to be shared among agents having different needs for it. We adopt a Right-endpoint Subtraction (RS) formulation, which underlies these two properties: RS bilateral consistency and RS converse consistency. As we show, the nucleolus is the only RS bilaterally consistent (or RS conversely consistent) rule satisfying equal treatment of equals and last-agent cost additivity. In addition, we introduce a game exploiting the two properties to strategically justify the nucleolus. Our results, together with the axiomatization and strategic justification of the Constrained Equal Benefits (CEB) rule in Hu et al. (2012), show that adopting different formulations to define a reduced problem leads to axiomatizing and, in particular, strategically justifying the CEB rule and the nucleolus in the nested cost-sharing problem.
  • Link https://www.sciencedirect.com/science/article/pii/S0899825617302439(Open New Window)
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