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- W4256488143 abstract "Abstract This chapter develops the idea of a mixed strategy using the entry into a sealed-bid auction as a non-trivial example. Reaction curves are first illustrated for the case of pure strategies and then applied to computing mixed Nash equilibria. The Hawk-Dove Game is equivalent either to the Prisoner's Dilemma or Chicken, depending on parameter values. The mixed-strategy reaction curves are plotted in each case. The interpretation of mixed Nash equilibria as polymorphic equilibria in a game played by a large population is considered. The matrix algebra necessary for handling mixed strategies is reviewed and illustrated with O'Neill's Card Game. Convexity ideas are reviewed and applied to the geometric representation of mixed strategies. Cooperative and noncooperative payoff regions are introduced and illustrated using Chicken and the Battle of the Sexes. Correlated equilibria are introduced after a discussion of self-policing agreements, cheap talk, and preplay randomization. The possibility of correlation without a referee using techniques from cryptography is discussed." @default.
- W4256488143 created "2022-05-12" @default.
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- W4256488143 date "2007-02-01" @default.
- W4256488143 modified "2023-09-29" @default.
- W4256488143 title "Mixing Things Up" @default.
- W4256488143 doi "https://doi.org/10.1093/acprof:oso/9780195300574.003.0006" @default.
- W4256488143 hasPublicationYear "2007" @default.
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