A game of fair division with continuum of players
Analytic sets and Borel isomorphisms
Coincidence theorems for families of multimaps and their applications to equilibrium problems.
Constrained and indefinite games and their applications [Book]
Core solutions and nash equilibria in noncooperative games with a measure space of players
The paper deals with noncooperative games in which players constitute a measure space. Strategy profiles that are equal almost everywhere are assumed to have the same interactive effects. Under these circumstances we explore links between core solutions and Nash equilibria. Conditions are given which guarantee that core outcomes must be Nash equilibria and vice versa. The main contribution are results on nonemptieness of the core.
Equilibrium points of random generalized games.
Juegos invariantes.
Juegos que presentan ciertas propiedades de simetría respecto a grupos de transformaciones son reducidos a un juego restringido. Se demuestra que si el grupo es transitivo, el juego tiene valor. El análisis armónico nos permite caracterizar las estrategias óptimas.
Large games with only small players and finite strategy sets
Large games of kind considered in the present paper (LSF-games) directly generalize the usual concept of n-matrix games; the notion is related to games with a continuum of players and anonymous games with finitely many types of players, finitely many available actions and distribution dependent payoffs; however, there is no need to introduce a distribution on the set of types. Relevant features of equilibrium distributions are studied by means of fixed point, nonlinear complementarity and constrained...
Large games with only small players and strategy sets in Euclidean spaces
The games of type considered in the present paper (LSE-games) extend the concept of LSF-games studied by Wieczorek in [2004], both types of games being related to games with a continuum of players. LSE-games can be seen as anonymous games with finitely many types of players, their action sets included in Euclidean spaces and payoffs depending on a player's own action and finitely many integral characteristics of distributions of the players' (of all types) actions. We prove the existence of equilibria...
Maximal elements and equilibria of generalized games for -majorized and condensing correspondences.
Non-compact random generalized games and random quasi-variational inequalities.
On a condition weaker than insatiability condition
A condition weaker than the insatiability condition is given.
On a modified game of Sierpiński
On the symmetry axiom for values of nonatomic games.
Simultaneous strategies and Boolean games of uncountable length
Stock market as a dynamic game with continuum of players