Bargaining Foundation for Ratio Equilibrium in Public Good Economies

Anne van den Nouweland and Agnieszka Rusinowska
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Anne van den Nouweland: University of Oregon [Eugene]

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Abstract: We provide a bargaining foundation for the concept of ratio equilibrium in public good economies. We define a bargaining game of alternating offers in which players bargain to determine their cost shares of public good production and a level of public good. We study the stationary subgame perfect equilibrium without delay of the bargaining game. We demonstrate that when the players are perfectly patient, they are indifferent between the equilibrium offers of all players. We also show that every stationary subgame perfect equilibrium without delay in which the ratios offered by all players are the same leads to a ratio equilibrium. In addition, we demonstrate that all equilibrium ratios are offered by the players at some stationary subgame perfect equilibrium without delay. We use these results to discuss the case when the assumption of perfectly patient players is relaxed and the cost of delay vanishes.

Keywords: ratio equilibrium; public good economy; bargaining game; stationary subgame perfect equilibrium; équilibre des ratios; économie des biens publics; jeu de négociation; équilibre parfait en sous-jeux (search for similar items in EconPapers)
Date: 2018-02
New Economics Papers: this item is included in nep-bec, nep-gth and nep-mic
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-01720001v1
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Published in 2018

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Related works:
Journal Article: Bargaining foundation for ratio equilibrium in public‐good economies (2020)
Working Paper: Bargaining foundation for ratio equilibrium in public good economies (2020)
Working Paper: Bargaining foundation for ratio equilibrium in public good economies (2020)
Working Paper: Bargaining foundation for ratio equilibrium in public good economies (2020)
Working Paper: Bargaining Foundation for Ratio Equilibrium in Public Good Economies (2018)
Working Paper: Bargaining Foundation for Ratio Equilibrium in Public Good Economies (2018)
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