Abstract
We address the problem of strategically supported cooperation for linear-quadratic differential games with nontransferable payoffs. As an optimality principle, we study Pareto-optimal solutions. It is assumed that players use a payoff distribution procedure guaranteeing individual rationality of a cooperative solution over the entire game horizon. We prove that under these conditions a Pareto-optimal solution can be strategically supported by an ε-Nash equilibrium. An example is considered.
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Original Russian Text © A.V. Tur, 2015, published in Matematicheskaya Teoriya Igr i Ee Prilozheniya, 2015, No. 4, pp. 56–70.
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Tur, A.V. Strategic stability in linear-quadratic differential games with nontransferable payoffs. Autom Remote Control 78, 379–388 (2017). https://doi.org/10.1134/S0005117917020151
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DOI: https://doi.org/10.1134/S0005117917020151