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Bargaining with intertemporal maximin payoffs

Vincent Martinet, Pedro Gajardo, Michel de Lara and Héctor Ramírez Cabrera

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Abstract: We present a new class of dynamic bargaining problems, called "bargaining problems with intertemporal maximin payoffs," that may reflect sustainability problems having to encompass conflicting issues in the long-run. Each bargainer (or stake-holder) has a representative indicator, namely a function of the state and decisions, and aims at maximizing its minimal value over time. Bargaining on sustainability issues consists in defining the vector of stake-holder's payoffs. We are interested in defining the set of feasible outcomes of such problems. This set is interpreted as a support for a social choice of sustainability objectives. We introduce a MONDAI condition – Monotonicity of Dynamics And Indicators – consistent with many economic problems and, in particular, "environmental economic" sustainability issues. We characterize the set of feasible outcomes for problems satisfying these monotonicity properties, and the bargaining solutions under the axioms of Pareto efficiency and Independence of Irrelevant Alternatives. We also provide a "satisficing" common decision rule to achieve any given solution. We then examine the time-consistency of the solution under the axioms of Veto Power and Individual Rationality.

Keywords: bargaining theory; dynamics; maximin; monotonicity; feasibility set; sustainability (search for similar items in EconPapers)
Date: 2011
Note: View the original document on HAL open archive server: https://hal.science/hal-04141012
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Working Paper: Bargaining with Intertemporal Maximin Payoffs (2019) Downloads
Working Paper: Bargaining with Intertemporal Maximin Payoffs (2019) Downloads
Working Paper: Bargaining with intertemporal maximin payoffs (2011) Downloads
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