Borel Games with Lower-Semi-Continuous Payoffs

Details Borel Games with Lower-Semi-Continuous Payoffs Borel Games with Lower-Semi-Continuous Payoffs

2009-11-17

arxiv.org/abs/0911.3246v1

Mathematics

Probability

Scientific paper

We prove that every two-player non-zero-sum Borel game with
lower-semi-continuous payoffs admits a subgame-perfect $\ep$-equilibrium. This
result complements Example 3 in Solan and Vieille (2003), which shows that a
subgame-perfect $\ep$-equilibrium need not exists when the payoffs are not
lower-semi-continuous.

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