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A coalgebraic approach to type spaces
(Asociación Argentina de Mecánica Computacional, 2007-10)
When two or more players are engaged in a game with uncertainties, they need to consider what the other players’ beliefs may be, which in turn are influenced by what they think the first player’s ideas are. Harsanyi defined ...
Superrational types
(Oxford University Press, 2019-04)
We present a formal analysis of Douglas Hofstadter?s concept of superrationality. We start by defining superrationally justifiable actions, and study them in symmetric games. We then model the beliefs of the players, in a ...
Yang–Baxter operators in symmetric categories
(Taylor & Francis, 2018-07)
We introduce non-degenerate solutions of the Yang–Baxter equation in the setting of symmetric monoidal categories. Our theory includes non-degenerate set-theoretical solutions as basic examples. However, infinite families ...
On pseudo-bialgebras
(Academic Press Inc Elsevier Science, 2012-12)
We study pseudoalgebras from the point of view of pseudo-dual of classical Lie coalgebra structures. We define the notions of Lie H-coalgebra and Lie pseudo-bialgebra. We obtain the analog of the CYBE, the Manin triples ...
Twisted deformations vs. cocycle deformations for quantum groups
(World Scientific, 2020-12-12)
In this paper we study two deformation procedures for quantum groups: deformations by twists, that we call “comultiplication twisting”, as they modify the coalgebra structure, while keeping the algebra one — and deformations ...
Solutions of the Braid equation and orders
(Springer, 2019-06)
We introduce the notion of non-degenerate solution of the braid equation on theincidence coalgebra of a locally finite order. Each one of these solutions induces by restriction a non-degenerate set-theoretic solution over ...
Comparison of two notions of weak crossed product
(World Scientific, 2020-04)
We compare the restriction to the context of weak Hopf algebras of the notion of crossed product with a Hopf algebroid introduced in [Cleft extensions of Hopf algebroids, Appl. Categor. Struct.14(5–6) (2006) 431–469] with ...