Submodularity Helps in Nash and Nonsymmetric Bargaining

نویسندگان

  • Deeparnab Chakrabarty
  • Gagan Goel
  • Vijay V. Vazirani
  • Lei Wang
  • Changyuan Yu
چکیده

Motivated by recent insights on the two solution concepts of Nash and nonsymmetric bargaining games, obtained from an algorithmic study of these notions [Vaz09], we take a fresh look at understanding their quality and robustness by subjecting them to several “stress tests”. Our tests are quite basic, e.g., we ask whether the solutions delivered are efficient, fair, respond in a desirable manner when agents change their disagreement points or play with a subset of the agents, and whether they lend themselves to efficient computatability. Our main conclusion is that imposing submodularity, a natural economies of scale condition, on Nash and nonsymmetric bargaining games endows them with several desirable properties.

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تاریخ انتشار 2009