We define a differential game of public investment with a discontinuous Markovian strategy space. The best response correspondence for the game is well-behaved: a best response exists and uniquely maps almost all profiles of opponents' strategies back to the strategy space. Our chosen strategy...

This paper establishes the uniqueness of a Quantal Response Equilibrium (QRE) for a broad class of $n$-person normal form games. We show that the uniqueness of a QRE is determined by a precise relationship between a measure of players' payoff concavity, a bound on the intensity of strategic...

This paper studies adaptive learning in the class of weighted network games. This class of games includes applications like research and development within interlinked firms, crime within social networks, the economics of pollution, and defense expenditures within allied nations. We show that...

In this paper, we propose a game in which each player decides with whom to establish a costly connection and how much local public good is provided when benefits are shared among neighbors. We show that, when agents are homogeneous, Nash equilibrium networks are nested split graphs....

The present paper fully characterizes equilibria of a generalized Volunteer's Dilemma game, which is an integration of the volunteer's dilemma game and the step-level public goods game with binary decision. We also examined the explanatory power of a widely accepted model with bounded...

Quasilinear preferences on a public good and a numeraire good are limits of preferences where both goods are normal. The set of equilibria of the voluntary contribution (or private provision) game is easily characterized under quasilinearity by: top valuators aggregately contribute their common...

In this paper we consider a model with multiple jurisdictions where each formed jurisdiction selects a public project from the given uni-dimensional set, equally shares its cost among its members and places the project at the location of its median resident. We examine a cooperative concept of...

I examine how uncertainty in the size of the relevant population affects the voluntary contribution of public goods. I analyze a case where the marginal production of public goods is decreasing and convex, and agents' social preferences, if any, are irrelevant to the population size. When the...

In this paper we demonstrate how the impure public good model can be converted into a pure public good model with satiation of private consumption, which can be handled more easily, by using a variation of the aggregative game approach as devised by Cornes and Hartley (2007). We point out the...