5 papers
On the Induced Norms of Matrices and Grothendieck problems
Lan V. Truong, M. H. Duong
We study the induced matrix norm $\|\bA\|_{q \to r}$, whose exact value has been known only in a few classical cases. Determining this norm has long been regarded as difficult due…
Cost of institutional incentives for promoting cooperation in games and collective risk games
M. H. Duong, C. M. Durbac, T. A. Han
Prosocial behaviours have been extensively studied across multiple disciplines. Cooperation, requiring a personal cost for collective benefits, is widespread in nature and human so…
Cost optimisation of individual-based institutional reward incentives for promoting cooperation in finite populations
M. H. Duong, C. M. Durbac, T. A. Han
In this paper, we study the problem of cost optimisation of individual-based institutional incentives (reward, punishment, and hybrid) for guaranteeing a certain minimal level of c…
Cost optimisation of hybrid institutional incentives for promoting cooperation in finite populations
M. H. Duong, C. M. Durbac, T. A. Han
In this paper, we rigorously study the problem of cost optimisation of hybrid (mixed) institutional incentives, which are a plan of actions involving the use of reward and punishme…
A GPM-based algorithm for solving regularized Wasserstein barycenter problems in some spaces of probability measures
S. Kum, M. H. Duong, Y. Lim +1
In this paper, we focus on the analysis of the regularized Wasserstein barycenter problem. We provide uniqueness and a characterization of the barycenter for two important classes…