Cooperative games and mechanisms for division problems

Doudou Gong

Research output: ThesisDoctoral ThesisMixed; collaboration

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Cooperative games describe situations where players collaborate in coalitions and generate profits. Cooperative game theory analyses how to allocate profits generated by the grand coalition among the players in a fair way, and provides several significant solutions. This thesis introduces a new class of cooperative games, and studies explicit expressions of these solutions in this class. Moreover, these solutions are characterized using the axiomatic method. Next, this thesis focuses on non-cooperative games and mechanism design. Based on a sequential partition method, this thesis gives a new non-cooperative interpretation of the constrained equal awards rule for bankruptcy problems. Then, a particular mechanism is considered to solve division problems with single-dipped preferences. The Pareto optimal Nash and strong equilibria coincide and assign Pareto optimal allocations that are characterized by so-called maximal coalitions: non-involved agents prefer getting zero over an equal coalition share, whereas for agents in the coalition the opposite holds.
Original languageEnglish
Awarding Institution
  • Maastricht University
  • Northwesterns Polytechnical University
  • Peters, Hans, Supervisor
  • Dietzenbacher, Bas, Co-Supervisor
Award date27 Sept 2022
Place of PublicationMaastricht
Print ISBNs9789464239119
Publication statusPublished - 2022


  • cooperative game
  • axiomatic analysis
  • mechanism
  • division problems

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