Stagnation proofness in n-agent bargaining problems

  • Jaume García-SegarraEmail author
  • Miguel Ginés-Vilar
Regular Article


Some bargaining solutions may remain unchanged under any extension of a bargaining set which does not affect the utopia point, despite the fact that there is room to improve the utility of at least one agent. We call this phenomenon the stagnation effect. A bargaining solution satisfies stagnation proofness if it does not suffer from the stagnation effect. We show that stagnation proofness is compatible with the restricted version of strong monotonicity (Thomson and Myerson in Int J Game Theory 9(1):37–49, 1980), weak Pareto optimality, and scale invariance. The four axioms together characterize the family of the bargaining solutions generated by strictly-increasing paths ending at the utopia point (SIPUP-solutions).


Bargaining Pareto optimality Monotonicity Stagnation 

JEL Classification

C78 D74 


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2017

Authors and Affiliations

  1. 1.Department of EconomicsUniversity of CologneCologneGermany
  2. 2.Department of EconomicsUniversitat Jaume I de CastellóCastellónSpain

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