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In game-theoretic terms, a strong equilibrium, which is a strategy profile immune to deviations by coalition, rarely exists.
The force-based formulation satisfies strong equilibrium of internal section forces with the element end forces and the moving load.
We prove some general results about mediators, and mainly concentrate on the notion of strong mediated equilibrium, which is just a strong equilibrium at the mediated game.
We show that the mechanism's performance improves with the number of agents that can coordinate their bids, and reaches half of the optimum welfare at strong equilibrium.
Subsequently, we derive worst-case bounds on the approximation of the optimum social welfare achieved in (strong) equilibrium by the mechanism.
Furthermore, this small remnant forest patch is surrounded by an agricultural and second-growth forest matrix with many non-indigenous plants — none of which have been able to enter the woods, suggesting strong equilibrium stability of these old-growth patches.
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In comparison, LUF5967 displayed a strong equilibrium-based selectivity for the A1R over the A2AR, yet its kinetic selectivity thereon was less pronounced.
State A7 is also Nash stable and is a stronger equilibrium than state A3.
On the other hand, the strong vector equilibrium problem is a class of important equilibrium problems since a solution for the strong vector equilibrium problem is an ideal solution, which is better than other solutions such as efficient solution, weak efficient solution, Henig efficient solution and supper efficient solution (e.g., [36]).
However, we can study the strong vector equilibrium problem since the strong vector equilibrium problem does not need intC ≠ ∅.
This led Aumann [43] to propose the idea of strong Nash equilibrium which ensures a more restrictive stability than the conventional Nash equilibrium.
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