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Monotone 2-Transition Solutions

2011
The second multitransition case mentioned in Chapter 6 will be studied here. Proceeding somewhat more generally, suppose \(v_0;w_0;\hat{v}_0;\hat{w}_0 \in \mathcal{M}0\), where \(v_0 < w_0 \leq \hat{v}_0 < \hat{w}_0\) and the pairs v0;w0 and \(\hat{v}_0; \hat{w}_0\) satisfy (*)0. The simplest special case is that of \(\hat{v}_0 = v_0 + 1\) and \(\hat{w}
Paul H. Rabinowitz, Edward W. Stredulinsky   +1 more
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Monotonic solutions of cooperative games

International Journal of Game Theory, 1985
The principle of monotonicity of the game solution is formulated and discussed for cooperative games with sidepayments. It is shown that for a wide class of games the unique solution concept respecting this principle is the Shapley value.
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Individual monotonicity and the leximin solution [PDF]

, 2000
The author introduces to the \(n\)-person bargaining problem two supplementary assumptions due to which he derives new characteristics of the problem. To generally used Pareto efficiency and symmetry of solutions he adds individual monotonicity and independence of individually irrational points. Individual monotonicity means increasing of components of
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Efficiency and monotonicity of bargaining solutions

Quality and Quantity, 1991
A continuity axiom for bargaining solutions is introduced, which is satisfied by all Pareto optimal and continuous (in the Hausdorff metric) solutions. It is shown by two examples how this axiom can be used to characterize solutions having certain kind of monotonicity properties. One of the solutions is the lexicographic maximin solution.
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Strongly Monotone Solutions of Retarded Differential Equations

Canadian Mathematical Bulletin, 1979
Let us consider the retarded differential equation1for which the following assumptions are made:(i) p: [t0, ∞) → [0, ∞) is continuous and not identically zero for all large t.(ii) σ [t0, ∞)→ ℝ is continuous, strictly increasing,(iii) φ: ℝ → ℝ is continuous, non-decreasing ...
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Monotone solutions of the parametric linear complementarity problem

Mathematical Programming, 1972
The parametric linear complementarity problem under study here is given by the conditionsq + αp + Mz ≥ 0,α ≥ 0,z ≥ 0,z T (q + αp + Mz) = 0 whereq is nonnegative. This paper answers three questions including the following one raised by G. Maier: What are the necessary and sufficient conditions onM guaranteeing that for every nonnegative starting pointq ...
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Monotonically Increasing Solutions

2020
Leonid Berezansky, Alexander Domoshnitsky, Roman Koplatadze   +2 more
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On the Monotonic and Asymptotic Properties of Positive Solutions to Third-Order Neutral Differential Equations and Their Effect on Oscillation Criteria

Axioms, 2023
Ghada Alnemer, Moutaz Ramadan, Osama Moaaz   +2 more
exaly  

Individual Monotonicity and Lexicographic Maxmin Solution

Econometrica, 1983
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Monotonicity and the fair assignment solution [PDF]

, 1992
Given any problem involving assignment of indivisible objects and a sum of money among individuals, there is a fair assignment (namely the minmax money assignment) which can be extended monotonically to a new fair assignment for any object added or person removed, and another (the maxmin value assignment) extendable similarly for any object removed or ...
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