When transition rates of two competing mechanisms sum equally, annealed and quenched binary-choice dynamics coincide, heterogeneity reduces to the mean preference, and oscillations are impossible.
Hybrid Algorithm for Nonlinear Equilibrium, Variational Inequality and Fixed Point Problems
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abstract
In this paper, we introduce an iterative process which converges strongly to a common element of sets of solutions of finite family of generalized equilibrium problems, sets of fixed points of finite family of continuous relatively nonexpansive mappings and sets of zeros of finite family of $\gamma$-inverse strongly monotone mappings in Banach spaces. Our theorems improve and generalize several results which are announced recently. Our iteration process, method of proof and corollaries are of independent interest
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physics.soc-ph 1years
2026 1verdicts
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Unified Framework for Binary-Choice Dynamics: Analysis and Applications
When transition rates of two competing mechanisms sum equally, annealed and quenched binary-choice dynamics coincide, heterogeneity reduces to the mean preference, and oscillations are impossible.