Perfectly competitive economies are economic models with many agents, each of whom is relatively insignificant. This chapter studies the relations between the basic economic concept of competitive (or Walrasian ) equilibrium , and the game-theoretic solution concept of value . It includes the...

The paper considers a one-to-one matching with contracts model in the presence of price controls. This set-up contains two important streams in the matching literature, those with and those without monetary transfers, as special cases and allows for intermediate cases with some restrictions on...

This paper studies an exchange economy with a finite number of agents in which each agent is initially endowed with a finite number of (personalized) indivisible commodities. We observe that the core equivalence theorem may not hold for this economy when the coalitional form game is generated in...

The computation of economic equilibria is a centralproblem in algorithmic game theory. In this dissertation, weinvestigate the existence of economic equilibria in severalmarkets and games, the complexity of computing economicequilibria, and its application to rankings.It is well known that a...

Several structural results for the set of competitive equilibria in trading networks with frictions are established: The lattice theorem, the rural hospitals theorem, the existence of side-optimal equilibria, and a group-incentive-compatibility result hold with imperfectly transferable utility...

We introduce a novel simulated certainty equivalent approximation (SCEQ) method for solving dynamic stochastic problems. Our examples show that SCEQ can quickly solve high-dimensional finite- or infinite-horizon, stationary or non- stationary dynamic stochastic problems with hundreds of state...

Many consumers care about climate change and other externalities associated with their purchases. We analyze the behavior and market effects of such "socially responsible consumers" in three parts. First, we develop a flexible theoretical framework to study competitive equilibria with rational...

We demonstrate the possibility of shake-out of firms and emergence of inter-firmheterogeneity along the (socially optimal) dynamic equilibrium path of a competitive industry with freeentry and exit, even when there is no uncertainty and all firms are ex ante identical with perfectforesight....

This paper studies an exchange economy with a finite number of agents in which each agent is initially endowed with a finite number of (personalized) indivisible commodities. We observe that the core equivalence theorem may not hold for this economy when the coalitional form game is generated in...