RECIPROCAL UPPER SEMICONTINUITY AND BETTER REPLY SECURE GAMES: A COMMENT

69 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Understanding some recent existence results for discontinuous games (2011, background): “Part of the characterization relies on the notion of weak upper semicontinuity introduced by Bagh and Jofre (2006). A game G = (Xi, ui)i∈N is weakly reciprocal upper semicontinuous if for all (x, α) in the frontier of the graph of u, there exists i ∈ N and x̂i ∈ Xi such that ui(x̂i, x−i) > αi.”
On equilibrium existence in payoff secure games (2011, background): “An important generalization of reciprocal upper semicontinuity is proposed by Bagh and Jofre (2006): A game G = (Xi , ui )n i=1 is weakly reciprocal upper semicontinuous, if, for any (x, α) ∈ FrΓ (G), there are a player i and xi ∈ Xi such that ui (xi , x−i ) > αi .”
Games With Discontinuous Payoffs: A Strengthening of Reny's Existence Theorem (2011, background): “) Largely in response to his work, a number of papers on discontinuous games have appeared recently (Carmona (2005); Bagh and Jofre (2006); Bich (2006, 2009); Monteiro and Page (2007); Carmona (2009); Carbonell-Nicolau (2011, 2010a,b); Prokopovych (2010a,b); Barelli and Soza (2009); de Castro (2011)”