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A Risk‐Dominant Allocation: Maximizing Coalition Stability
Author(s) -
McGINTY MATTHEW
Publication year - 2011
Publication title -
journal of public economic theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.809
H-Index - 32
eISSN - 1467-9779
pISSN - 1097-3923
DOI - 10.1111/j.1467-9779.2011.01501.x
Subject(s) - superadditivity , economics , stochastic game , shapley value , microeconomics , incentive , bargaining problem , nash equilibrium , externality , mathematical economics , stability (learning theory) , core (optical fiber) , resource allocation , game theory , computer science , market economy , telecommunications , machine learning
This paper presents a rule to allocate a coalition’s worth for superadditive games with positive externalities. The allocation rule awards each member their outside payoff, plus an equal share of the surplus. The resulting allocation maximizes coalition stability. Stable coalitions are Strong Nash equilibria since no subset of members has an incentive to leave. Similarly, no subset of non‐members has an incentive to join a stable coalition if the game is concave in this region. The allocation is risk‐dominant. All stable coalitions are robust to the maximum probability of 50% that players’ deviate from their individual best‐responses. The paper compares the allocation to the Shapley value and the Nash bargaining solution, and illustrates why these traditional rules result in small coalitions when applied to issues such as international environmental agreements.