Skip to main content Accessibility help
×
Hostname: page-component-848d4c4894-4rdrl Total loading time: 0 Render date: 2024-06-16T16:46:11.086Z Has data issue: false hasContentIssue false

7 - Cooperative games and the characteristic function

Published online by Cambridge University Press:  21 March 2010

Get access

Summary

The preceding chapters have gone to extraordinary lengths to avoid the possibility that people cooperate and act in concert to achieve some outcome. Chapter 2 describes logrolling as an example of strategic voting without supposing that a decisive subset of the legislature such as a majority acts to thwart the vote trades that other members of the legislature might negotiate. Chapter 4 analyzes elections as noncooperative games between candidates; this approach seems appropriate for two-candidate elections, but it also assumes that voters are passive agents in the election and it thereby ignores the coalitions among voters that interest groups, such as organized labor, try to form. Chapter 5 applies the prisoners’ dilemma to a variety of situations, but it does not allow people to try to avoid mutually distasteful outcomes by some form of prior, binding collusion. And Chapter 6 dispassionately analyzes issue-by-issue voting in committees by assuming that members cannot talk, negotiate, and coordinate their strategies, thereby precluding the important possibility that procedures affect outcomes only if members choose not to collude to bypass them.

The assumption that people reveal their strategies simultaneously and cannot communicate their choices beforehand is a useful theoretical abstraction. Many two-person situations are best modeled as zero-sum games, in which case communication serves no purpose, and it is useful in other circumstances to evaluate the consequences of the failure to communicate. It is probably rare, though, that communication among people, however imperfect, remains impossible. In response to this reality, cooperative game theory models those situations in which communication not only is possible, but also stands as a central feature of human interaction.

Type
Chapter
Information
Game Theory and Political Theory
An Introduction
, pp. 302 - 338
Publisher: Cambridge University Press
Print publication year: 1986

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

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 Dropbox.

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.

Available formats
×