Cover: Let's Block "Block"

Let's Block "Block"

Published 1972

by Lloyd S. Shapley

Download

Download Free Electronic Document

FormatFile SizeNotes
PDF file 0.1 MB

Use Adobe Acrobat Reader version 10 or higher for the best experience.

Purchase

Purchase Print Copy

 Format Price
Add to Cart Paperback4 pages $20.00

Examination of the term "block" shows that it is counterintuitive and misleading when used in connection with the core and should be avoided or clarified whenever possible, despite its history of past usage in the literature of economics and game theory. Economists new to game theory often imagine that the core is related to the ability of coalitions to obstruct the system, but this is incorrect. The difficulty disappears if the core is described in terms of "improving" or "recontracting" rather than "blocking." The core, after all, expresses what coalitions can or cannot do for themselves, not what they can or cannot do to their opponents. It is worth noting, moreover, that in the formal theory of simple games, such as voting games, the well-established terms "block" and "blocking coalition" enjoy their common English meanings, and this usage is being extended to graph theory and other mathematical subjects where structures similar to simple games occur.

This report is part of the RAND paper series. The paper was a product of RAND from 1948 to 2003 that captured speeches, memorials, and derivative research, usually prepared on authors' own time and meant to be the scholarly or scientific contribution of individual authors to their professional fields. Papers were less formal than reports and did not require rigorous peer review.

This document and trademark(s) contained herein are protected by law. This representation of RAND intellectual property is provided for noncommercial use only. Unauthorized posting of this publication online is prohibited; linking directly to this product page is encouraged. Permission is required from RAND to reproduce, or reuse in another form, any of its research documents for commercial purposes. For information on reprint and reuse permissions, please visit www.rand.org/pubs/permissions.

RAND is a nonprofit institution that helps improve policy and decisionmaking through research and analysis. RAND's publications do not necessarily reflect the opinions of its research clients and sponsors.