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pro vyhledávání: '"Cotrina, John"'
Autor:
Calderón, Carlos, Cotrina, John
We deal with the generalized Nash game proposed by Rosen, which is a game with strategy sets that are coupled across players through a shared constraint. A reduction to a classical game is shown, and as a consequence, Rosen's result can be deduced fr
Externí odkaz:
http://arxiv.org/abs/2307.03532
In this work, we reformulate the problem of existence of maximal elements for preference relations as a variational inequality problem in the sense of Stampacchia. Similarly, we establish the uniqueness of maximal elements using a variational inequal
Externí odkaz:
http://arxiv.org/abs/2301.12329
It is known that the generalized Nash equilibrium problem can be reformulated as a quasivariational inequality. Our aim in this work is to introduce a variational approach to study the existence of solutions for generalized ordinal Nash games, that i
Externí odkaz:
http://arxiv.org/abs/2301.12327
Autor:
Cotrina, John, Fierro, Raúl
We deal with inverse maximum theorems, which are inspired by the ones given by Aoyama, Komiya, Li et al., Park and Komiya, and Yamauchi. As a consequence of our results, we state and prove an inverse maximum Nash theorem and show that any generalized
Externí odkaz:
http://arxiv.org/abs/2201.13136
In this note we are interested in a relevant generalized Nash equilibrium problem, which was proposed by Rosen in 1965. An existence result is established in the general setting of quasiconvexity, which is independent from the one given by Aussel and
Externí odkaz:
http://arxiv.org/abs/2201.04262
Autor:
Cotrina, John
In this work we extend a maximum theorem proposed by Morgan and Scalzo. We also show some results of minimax inequalities which are equivalent to the famous Ky Fan minimax inequality. Additionally, we prove that the existence result of Nash equilibri
Externí odkaz:
http://arxiv.org/abs/2201.03507
Autor:
Cotrina, John, Svensson, Anton
The "finite intersection property" for bifunctions is introduced and its relationship with generalized monotonicity properties is studied. Some results concerning existence of solution for (quasi-)equilibrium problems are established and several resu
Externí odkaz:
http://arxiv.org/abs/2002.04769
Akademický článek
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Autor:
Bueno, Orestes, Cotrina, John
In this paper we deal with the construction of explicit examples of maximal $p$-cyclically monotone operators. To date, there is only one instance of an explicit example of a maximal 2-cyclically monotone operator that is not maximal monotone. We pre
Externí odkaz:
http://arxiv.org/abs/1912.02865
A quasi-equilibrium problem is an equilibrium problem where the constraint set does depend on the reference point. It generalizes important problems such as quasi-variational inequalities and generalized Nash equilibrium problems. We study the existe
Externí odkaz:
http://arxiv.org/abs/1901.09116