Chapter10

Bargaining Games

In This Chapter

  • Two-player bargaining
  • The axiomatic approach
  • Nash’s solution
  • The Kalai-Smorodinsky alternative

This chapter considers the problem of two players bargaining over how to divide a sum of money, given that they may have certain legitimate claims. Rather than employ a back-and-forth approach to bargaining—with dramatic offers and counteroffers, the following procedure is like calling in an impartial arbitrator to determine a fair and final allocation.

Nash’s Standard Model

The way John Nash considered the problem of two-player bargaining was to suppose there is a set of different outcomes represented by ...

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