We study two-player common-value all-pay auctions (contests) with asymmetric information under the assumption that one of the players has an information advantage over his opponent and both players are budget-constrained. We generalize the results for all-pay auctions with complete information,...

Under standard assumptions about players'cost functions, we show that a Tullock contest with asymmetric information has a pure strategy equilibrium. Next we study Tullock contests in which players have a common value and a common state-independent linear cost function. A two-player contest in...

We study two-player common-value all-pay auctions in which the players have ex-ante asymmetric information represented by finite partitions of the set of possible values of winning. We consider two families of such auctions: in the first, one of the players has an information advantage...

We relax the Kajii and Morris (1997a) notion of equilibrium ro- bustness by allowing approximate equilibria in close incomplete infor- mation games. The new notion is termed "approximate robustness". The approximately robust equilibrium correspondence turns out to be upper hemicontinuous, unlike...

We show that the value of a zero-sum Bayesian game is a Lipschitz continuous function of the players?common prior belief, with respect to the total variation metric (that induces the topology of setwise convergence on beliefs). This is unlike the case of general Bayesian games, where lower...

We show that the Shapley-Shubik power index on the domain of simple (voting) games can be uniquely characterized without the e¢ ciency axiom. In our axiomatization, the efficiency is replaced by the following weaker require- ment that we term the gain-loss axiom: any gain in power by a player...

We show that when firms have asymmetric information about the market demand and theirs costs, a (Bayesian) Cournot equilibrium in pure strategies may not exist, or be unique. In fact, we are able to construct surprisingly simple and robust examples of duopolies with these features. However, we...

We show that even in very simple oligopolies with di¤erential information a (Bayesian) Cournot equilibrium in pure strategies may not exist, or be unique. However, we ?nd su¢ cient conditions for existence, and for uniqueness, of Cournot equilibrium in a certain class of industries. More...

We show that if agents are risk neutral, prizes outperform wages if and only if there is sufficient pride and envy relative to the noisiness of performance. If agents are risk averse, prizes are a necessary supplement to wages (as bonuses).