# Bargaining over a finite set of alternatives

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- Received:
- Accepted:

DOI: 10.1007/s00355-006-0178-z

- Cite this article as:
- Kıbrıs, Ö. & Sertel, M.R. Soc Choice Welfare (2007) 28: 421. doi:10.1007/s00355-006-0178-z

## Abstract

We analyze bilateral bargaining over a finite set of alternatives. We look for "good" *ordinal* solutions to such problems and show that Unanimity Compromise and Rational Compromise are the only bargaining rules that satisfy a basic set of properties. We then extend our analysis to admit problems with countably infinite alternatives. We show that, on this class, no bargaining rule choosing finite subsets of alternatives can be *neutral*. When rephrased in the utility framework of Nash (1950), this implies that there is no *ordinal* bargaining rule that is *finite-valued*.