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7 - Normal form games

Published online by Cambridge University Press:  05 June 2012

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Summary

The theory of social situations is applied in this chapter to games in normal form. As in the case of cooperative games, I claim that here, too, the description of a social environment as a normal form game is not satisfactory. In particular, it does not provide any information concerning either the beliefs of the players or the availability of the legal institutions that specify, for example, whether self-commitments, communications with other players, or the signing of binding agreements are allowed. Accordingly, a normal form game can be associated with a number of situations.

Stable (both optimistic and conservative) standards of behavior for some of the situations we shall associate with normal form games yield several of the most important game theoretic solution concepts, such as Nash and strong Nash equilibrium. As was the case with cooperative games, this characterization of known solution concepts sheds new light on the negotiation processes, belief structures, and institutional assumptions that underlie them.

In addition, again as in the previous chapter, the proposed approach offers new solution concepts. For example, by representing a normal form game as a situation, it is possible to analyze the consequences of “open negotiations.” That is, in contrast to the Nash-type situations where individuals make their moves “secretly,” I consider the possibility that players state their decisions openly. (This is in the spirit of the negotiation process delineated by the vN&M situation; see Section 6.2.) I distinguish among four cases, depending on whether it is possible to make “contingent threats” or, rather, only “irrevocable commitments” and whether coalitions are permitted to form.

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The Theory of Social Situations
An Alternative Game-Theoretic Approach
, pp. 87 - 117
Publisher: Cambridge University Press
Print publication year: 1990

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  • Normal form games
  • Joseph Greenberg
  • Book: The Theory of Social Situations
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9781139173759.008
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  • Normal form games
  • Joseph Greenberg
  • Book: The Theory of Social Situations
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9781139173759.008
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Normal form games
  • Joseph Greenberg
  • Book: The Theory of Social Situations
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9781139173759.008
Available formats
×