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2014•International Game Theory ReviewRequires access

A SIMPLE AXIOMATIZATION OF THE EGALITARIAN SOLUTION

İsmail Sağlam

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Abstract

In this paper, we present a simple axiomatization of the n-person egalitarian solution. The single condition sufficient for characterization is a new axiom, called symmetric decomposability that combines the axioms of step-by-step negotiations, symmetry, and weak Pareto optimality used in an early characterization by Kalai [(1977) Proportional solutions to bargaining situations: Interpersonal utility comparisons, Econometrica45, 1623–1630].

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What this paper is about

In this paper, we present a simple axiomatization of the n-person egalitarian solution. The single condition sufficient for characterization is a new axiom, called symmetric decomposability that combines the axioms of step-by-step negotiations, symmetry, and weak Pareto optimality used in an early characterization by Kalai [(1977) Proportional solutions to bargaining situations: Interpersonal utility comparisons, Econometrica45, 1623–1630].

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Available abstract

In this paper, we present a simple axiomatization of the n-person egalitarian solution. The single condition sufficient for characterization is a new axiom, called symmetric decomposability that combines the axioms of step-by-step negotiations, symmetry, and weak Pareto optimality used in an early characterization by Kalai [(1977) Proportional solutions to bargaining situations: Interpersonal utility comparisons, Econometrica45, 1623–1630].

Key concepts: Axiom, Simple (philosophy), Characterization (materials science), Mathematical economics, Mathematics, Negotiation, Pareto principle, Pareto optimal

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