Skip to Main Content
HBS Home
  • About
  • Academic Programs
  • Alumni
  • Faculty & Research
  • Baker Library
  • Giving
  • Harvard Business Review
  • Initiatives
  • News
  • Recruit
  • Map / Directions
Faculty & Research
  • Faculty
  • Research
  • Featured Topics
  • Academic Units
  • …→
  • Harvard Business School→
  • Faculty & Research→
Publications
Publications
  • 2005
  • Working Paper

Additive Rules for the Quasi-linear Bargaining Problem

By: Christopher P. Chambers and Jerry R. Green
  • Format:Print
  • | Language:English
ShareBar

Abstract

We study the class of additive rules for the quasi-linear bargaining problem introduced by Green. We provide a characterization of the class of all rules that are e¢ cient, translation invariant, additive, and continuous. We present several subfamilies of rules: the one parameter family of t-Shapley rules, the weighted coalitional rules, the simplicial cone rules, and the Steiner point rules. We discuss additional properties that solutions in these families possess. We discuss the relation of these solutions to the general class. The Steiner point rules satisfy more of our properties than any other class of rules. We also show that if there are at least three agents, any rule in the class we characterize violates the axiom of no advantageous reallocation.

Keywords

Econometric Models

Citation

Chambers, Christopher P., and Jerry R. Green. "Additive Rules for the Quasi-linear Bargaining Problem." Working Paper, January 2005.
  • Read Now

About The Author

Jerry R. Green

Negotiation, Organizations & Markets
→More Publications

More from the Authors

    • Social Choice and Welfare

    Assent-maximizing Social Choice

    By: Katherine A. Baldiga and Jerry R. Green
    • January 2011
    • American Naturalist

    Let the Right One In: A Microeconomic Approach to Partner Choice in Mutualisms

    By: Marco Archetti, Francisco Ubeda, Drew Fudenberg, Jerry R. Green, Naomi E. Pierce and Douglas W. Yu
    • 2009
    • Faculty Research

    Choice-based Measures of Conflict in Preferences

    By: Katherine Baldiga and Jerry R. Green
More from the Authors
  • Assent-maximizing Social Choice By: Katherine A. Baldiga and Jerry R. Green
  • Let the Right One In: A Microeconomic Approach to Partner Choice in Mutualisms By: Marco Archetti, Francisco Ubeda, Drew Fudenberg, Jerry R. Green, Naomi E. Pierce and Douglas W. Yu
  • Choice-based Measures of Conflict in Preferences By: Katherine Baldiga and Jerry R. Green
ǁ
Campus Map
Harvard Business School
Soldiers Field
Boston, MA 02163
→Map & Directions
→More Contact Information
  • Make a Gift
  • Site Map
  • Jobs
  • Harvard University
  • Trademarks
  • Policies
  • Accessibility
  • Digital Accessibility
Copyright © President & Fellows of Harvard College