We prove existence of stationary Markov perfect equilibria in an infinite-horizon model of legislative policy making in which the policy outcome in one period determines the status quo for the next. We allow for a multidimensional policy space and arbitrary smooth stage utilities, and we assume...

Continuous-time game dynamics are typically first order systems where payoffs determine the growth rate of the playersʼ strategy shares. In this paper, we investigate what happens beyond first order by viewing payoffs as higher order forces of change, specifying e.g. the acceleration of the...

When campaigning for reelection, incumbent parties' promises to voters are constrained by their records in office, while opposition parties can use their time away from power to develop new platforms. In this paper, I introduce incumbent policy persistence in a dynamic game of electoral...

This paper studies price dynamics in a setting in which a monopolist sells a new experience good over time to many buyers, and the seller can neither price discriminate among the buyers nor commit to a price rule. Buyers learn from their own experiences about the effectiveness of the product....

In an important step forward Maskin [E. Maskin, Nash equilibrium and welfare optimality, Rev. Econ. Stud. 66 (1999) 23–38] showed that two properties – monotonicity and no veto power – are together sufficient for Nash implementation. In contrast to the vast literature that followed, this...

We uncover a new necessary condition for implementation in iteratively undominated strategies by mechanisms that satisfy the “best element property” where for each agent, there exists a strategy profile that gives him the highest payoff in the mechanism. This class includes finite and...

We study a mechanism design problem where arbitrary restrictions are placed on the sets of first-order beliefs of agents. Calling these restrictions Δ, we use Δ-rationalizability (Battigalli and Siniscalchi, 2003, [5]) as our solution concept, and require that a mechanism virtually implement a...

This paper studies pairwise comparison dynamics for population games with continuous strategy space. We show that the pairwise comparison dynamic is well-defined if certain mild Lipschitz continuity conditions are satisfied. We establish Nash stationarity and positive correlation for pairwise...

We consider a two-player Prisoner's Dilemma type game with continuous actions, where players choose how much to contribute to a public project. This game is played infinitely many times and actions are irreversible: players cannot decrease their actions over time. While it is strictly dominant...

In a setting where an infinite population of players interact locally and repeatedly, we study the impacts of payoff structures and network structures on contagion of a convention beyond 2×2 coordination games. First, we consider the “bilingual game”, where each player chooses one of two...