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      • Theses - Department of Economics
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      Coincidence of Myerson allocation rule with Shapley value

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      Author(s)
      Kapan, Tümer
      Advisor
      Koray, Semih
      Date
      2003
      Publisher
      Bilkent University
      Language
      English
      Type
      Thesis
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      Abstract
      This thesis studies the coincidence of the Myerson allocation rule in the context of networks with the Shapley value in the context of transferable utility games. We start with a value function defined on networks and derive a transferable utility game from that. We show that without any restrictions on the value function, Myerson allocation rule may not lead to the same payoff vector as the Shapley value of the derived TU game for any network. Under the assumption of monotonicity of the value function, we show the existence of such coincidence and examine the relation of the set of networks satisfying this coincidence to the set of pairwise stable and strongly stable networks. Next, we propose a new stability notion and examine the coincidence of the two vectors under this stability notion. Finally an alternative allocation rule is introduced whose payoff vector coincide with the Shapley value of the derived transferable utility game on the set of efficient networks which coincides with the set of strongly stable networks under this allocation rule.
      Keywords
      Networks
      Coincidence
      Stability
      Shapley Value
      Myerson allocation rule
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      http://hdl.handle.net/11693/29396
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      • Dept. of Economics - Master's degree 325
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