Pintér Miklós (BME): A duality theorem for infinity LPs - an application in game theory

Transferable utility cooperative games with infinitely many players are considered. We generalize the notions of core and balancedness, and present a generalized Bondareva-Shapley Theorem for games without and with restricted cooperation. This theorem is based on a duality theorem for infinite LPs by Anderson & Nash (1987). Our generalized Bondareva-Shapley Theorem extends previous results by Bondareva (1963), Shapley (1967), Schmeidler (1967), Faigle (1989), and Kannai(1969), Kannai (1992) among others.