We prove that every multi-player Borel game with bounded and lower-semi-continuous payoffs admits a subgame-perfect epsilon-equilibrium in pure strategies. This result complements Example 3 in Solan and Vieille (2003), which shows that a subgame-perfect epsilon-equilibrium in pure strategies...

We consider a class of n-player stochastic games with the following properties: (1) in every state, the transitions are controlled by one player, (2) the payoffs are equal to zero in every non-absorbing state, (3) the payoffs are non-negative in every absorbing state. With respect to the...

We consider a class of stochastic games, where each state is identified with a player. At any moment during play, one of the players is called active. The active player can terminate the game, or he can announce any player, who then becomes the active player. There is a non-negative payoff for...

We examine product-games, which are n-player stochastic games satisfying: (1) the state space is a product S(1)×…×S(n); (2) the action space of any player i only depends of the i-th coordinate of the state; (3) the transition probability of moving from s(i) ∈ S(i) to t(i) ∈S(i), on the...

We investigate the relations between different types of perfect equilibrium, introduced by Simon and Stinchcombe (1995) for games with compact action spaces and continuous payoffs. Simon and Stinchcombe distinguish two approaches to perfect equilibrium in this context, the classical "trembling...

We study a framework where two duopolists compete repeatedly in prices and where chosen prices potentially affect future market shares, but certainly do not affect current sales. This assumption of consumer inertia causes (noncooperative) coordination on high prices only to be possible as an...

We study a framework where two duopolists compete repeatedly in prices and where cho-sen prices potentially affect future market shares, but certainly do not affect current sales.This assumption of consumer inertia causes (noncooperative) coordination on high pricesonly to be possible as an...

We consider a game G(n) played by two players. There are n independent random variables Z(1),...,Z(n), each of which is uniformly distributed on [0,1]. Both players know n, the independence and the distribution of these random variables, but only player 1 knows the vector of realizations z :=...

The mechanism used in Nash implementation is a form of direct democracy, taking everyone''s opinion into account. We augment this mechanism with a political process that selects the opinions of a subset of the individuals. We study three such processes -- oligarchy, oligarchic democracy and...

We study the implications of procedural fairness on income taxation. We formulateprocedural fairness as a particular non-cooperative bargaining game and examine thestationary subgame perfect equilibria of the game. The equilibrium outcome is called tax equilibrium and is shown to be unique. The...