The theory of learning in games explores how, which, and what kind of equilibria might arise as a consequence of a long-run nonequilibrium process of learning, adaptation, and/or imitation. If agents’ strategies are completely observed at the end of each round (and agents are randomly matched...

We introduce the concept of disjoint payoff matching which can be used to show that the mixed extension of a compact game is payoff secure. By putting minor structure on the discontinuities, we need only check payoffs at each strategy rather than in neighborhoods of each strategy profile,...

In an exchange economy under uncertainty with two periods, one physical good, and finitely many states of the world, we show that for every (complete or incomplete) market span there exists a sequence of securities such that if they are introduced into markets one by one, the prices of any...

This paper analyzes the dynamic interaction between two regions with interconnected river basins. Precipitation is higher in one river-basin while water productivity is higher in the other. Water transfer increases productivity in the recipient basin, but may cause environmental damage in the...

Potential based no-regret dynamics are shown to be related to fictitious play. Roughly, these are ε-best reply dynamics where ε is the maximal regret, which vanishes with time. This allows for alternative and sometimes much shorter proofs of known results on convergence of no-regret dynamics...

In this paper, a model of an ecosystem influenced by a large human population is presented. It is modelled by a discrete time dynamic game with many players and a simple dynamics. The paper proposes a new way to look at the problems of exploitation of ecosystems by many users — using the...

We introduce a framework for modeling pairwise interactive beliefs and provide an epistemic foundation for Nash equilibrium in terms of pairwise epistemic conditions locally imposed on only some pairs of players. Our main result considerably weakens not only the standard sufficient conditions by...

In the paper, the concept of Walrasian sequential equilibrium is developed to formalize the notions of fundamental social and endogenous uncertainties and decentralized social learning. It predicts that social sequential experiments with efficient as well as inefficient network patterns of...

A comprehensive theory of large strategic games with (socioeconomic and biological) traits (LSGT) has recently been presented in Khan et al. (2012, 2013), and we present a reformulation pertaining to large distributional games with traits (LDGT).

This paper extends models of renewable resources to an economy with two sectors, resource extraction and production. In contrast to one sector models, we show that the optimal strategies in the single-firm model are essentially different from those in the two-player model. In the single-player...