In this paper, we study N-player Colonel Blotto games with incomplete information about battlefield valuations. Such games arise in job markets, research and development, electoral competition, security analysis, and conflict resolution. For M Ï N + 1 battlefields, we identify a Bayes-Nash...

This paper studies incentives for the interim voluntary disclosure of verifiable information in probabilistic all-pay contests. Considered are unfair contests, i.e., contests in which, subject to activity conditions, one player (the favorite) is interim always more likely to win than the other...

We consider a class of incomplete-information Colonel Blotto games in which N Ï 2 agents are engaged in (N + 1) battlefields. An agent's vector of battlefield valuations is drawn from a generalized sphere in Lp-space. We identify a Bayes-Nash equilibrium in which any agent's resource allocation...

Heifetz, Meier and Schipper (2005) introduced a generalized state-space model that allows for non-trivial unawareness among several individuals and strong properties of knowledge. We show that this generalized state-space model arises naturally if states consist of maximally consistent sets of...

We define a generalized state-space model with interactive unawareness and probabilistic beliefs. Such models are desirable for many potential applications of asymmetric unawareness. We develop Bayesian games with unawareness, define equilibrium, and prove existence. We show how equilibria are...

This paper studies the incentives for interim voluntary disclosure of verifiable information in probabilistic all-pay contests. Provided that the contest is uniformly asymmetric, full revelation is the unique perfect Bayesian equilibrium outcome. This is so because the weakest type of the...

This paper studies the incentives for interim voluntary disclosure of verifiable information in probabilistic all-pay contests with two-sided incomplete information. Private information may concern marginal cost, valuations, and ability. Our main result says that, if the contest is uniformly...

We generalize the "No-speculative-trade" theorem for finite unawareness belief structures in Heifetz, Meier, and Schipper (2013) to the infinite case.

Applying unawareness belief structures introduced in Heifetz, Meier, and Schipper (2013a), we develop Bayesian games with unawareness, define equilibrium, and prove existence. We show how equilibria are extended naturally from lower to higher awareness levels and restricted from higher to lower...

We prove a no-speculative-trade theorem under unawareness for the infinite case. This generalizes the result for the finite case by Heifetz, Meier, and Schipper (2013).