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Equilibrium Selection\(^{*}\)

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Non-Cooperative Game Theory

Part of the book series: Monographs in Mathematical Economics ((MOME,volume 1))

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Abstract

In this chapter, we introduce notions of payoff dominance and risk dominance, explain their meanings, and also extend the risk dominance concept to p-dominance. In addition, we illustrate how equilibrium selection is performed using the example of global games, which is relevant to many economic situations.

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Notes

  1. 1.

    The origin of this game is said to be Rousseau’s book, Discourse on the Origin and Basis of Inequality among Men (1755).

  2. 2.

    We follow the definition by Carlsson and van Damme [1] for later references. There is another definition using the opposite subtraction, but for the product of the unitary deviation losses, the signs are irrelevant.

  3. 3.

    The Law of Large Numbers (LLN) guarantees that the fraction of the strategy in the population is the meeting probability. For a continuum population, see Duffie and Sun [2] and Sun [11].

References

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Correspondence to Takako Fujiwara-Greve .

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Fujiwara-Greve, T. (2015). Equilibrium Selection\(^{*}\) . In: Non-Cooperative Game Theory. Monographs in Mathematical Economics, vol 1. Springer, Tokyo. https://doi.org/10.1007/978-4-431-55645-9_9

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