Decentralized trade, random utility and the evolution of social welfare

We study decentralized trade processes in general exchange economies and house allocation problems with and without money. The processes are subject to persistent random shocks stemming from agents' maximization of random utility. By imposing structure on the utility noise term -logit distribution-, one is able to calculate exactly the stationary distribution of the perturbed Markov process for any level of noise. We show that the stationary distribution places the largest probability on the maximizers of weighted sums of the agents' (intrinsic) utilities, and this probability tends to 1 as noise vanishe

DECENTRALIZED TRADE, RANDOM UTILITY AND THE EVOLUTION OF SOCIAL WELFARE

We study decentralized trade processes in general exchange economies and house allocation problems with and without money. The processes are subject to persistent random shocks stemming from agents’ maximization of random utility. By imposing structure on the utility noise term —logit distribution—, one is able to calculate exactly the stationary distribution of the perturbed Markov process for any level of noise. We show that the stationary distribution places the largest probability on the maximizers of weighted sums of the agents’ (intrinsic) utilities, and this probability tends to 1 as noise vanishes

"Decentralized Trade, Random Utility and the Evolution of Social Welfare"

We study decentralized trade processes in general exchange economies and house allocation problems with and without money. The processes are subject to persistent random shocks stemming from agents' maximization of random utility. By imposing structure on the utility noise term -logit distribution-, one is able to calculate exactly the stationary distribution of the perturbed Markov process for any level of noise. We show that the stationary distribution places the largest probability on the maximizer of several social welfare functions in different variants of the model.

Decentralized Trade, Random Utility and the Evolution of Social Welfare

We study decentralized trade processes in general exchange economies and house allocation problems with and without money. The processes are affected by persistent random shocks stemming from agents' maximization of random utility. By imposing structure on the utility noise term --logit distribution--, one is able to calculate exactly the stationary distribution of the perturbed Markov process for any level of noise. We show that the stationary distribution places the largest probability on the maximizers of weighted sums of the agents' (intrinsic) utilities, and this probability tends to 1 as noise vanishes.decentralized trade, exchange economies, housing markets, long-run stochastic stability, logit model, social welfare functions.

Decentralized Trade, Random Utility and the Evolution of Social Welfare

We study decentralized trade processes in general exchange economies and house allocation problems with and without money. Such processes are subject to persistent random shocks stemming from agents’ maximization of random utility. By imposing structure on the utility noise term —logit distribution—, one is able to calculate exactly the stationary distribution of the perturbed Markov process for any level of noise. We show that the stationary distribution places the largest probability on the maximizer of several social welfare functions in different variants of the model.Decentralized Trade, Exchange Economies, Housing Markets, Stochastic Stability, Logit Model, Social Welfare Functions

Decentralized trade, random utility and the evolution of social welfare.

We study decentralized trade processes in general exchange economies and house allocation problems with and without money. The processes are subject to persistent random shocks stemming from agents' maximization of random utility. By imposing structure on the utility noise term -logit distribution-, one is able to calculate exactly the stationary distribution of the perturbed Markov process for any level of noise. We show that the stationary distribution places the largest probability on the maximizers of weighted sums of the agents' (intrinsic) utilities, and this probability tends to 1 as noise vanishes

Knowledge Exchange, Matching, and Agglomeration

Despite wide recognition of their significant role in explaining sustained growth and economic development, uncompensated knowledge spillovers have not yet been fully modeled with a microeconomic foundation. This paper illustrates the exchange of knowledge as well as its consequences for agglomerative activity in a general-equilibrium search-theoretic framework. Agents, possessing differentiated types of knowledge, search for partners to exchange ideas in order to improve production efficacy. When individuals’ types of knowledge are too diverse, a match is less likely to generate significant innovations. We demonstrate that the extent of agglomeration has significant implications for the patterns of information flows in economies. By simultaneously determining the patterns of knowledge exchange and the population agglomeration of an economy, we identify additional channels for interaction between agglomerative activity and knowledge exchange. The main implications of the model are a negative correlation between city population and diversity of knowledge exchange and a positive correlation between city population and per capita knowledge or patent output. Contrary to previous work in urban economics and growth theory, it is possible that a decentralized equilibrium is under-populated or over-populated and under-selective or over-selective in knowledge exchange, compared to the social optimum. By allowing for perpetual knowledge accumulation, we find that population agglomeration is generally accompanied by higher growth. The main findings remain qualitatively unchanged even if we allow individual knowledge types to change over time, though the creation of new types of knowledge may result in multiple equilibria.Matching, Knowledge Exchange and Spillovers, Agglomerative Activity

Debt stabilization in a Non-Ricardian economy

In models with a representative infinitely lived household, tax smoothing implies that the steady state of government debt should follow a random walk. This is unlikely to be the case in overlapping generations (OLG) economies, where the equilibrium interest rate may differ from the policy maker's rate of time preference. It may therefore be optimal to reduce debt today to reduce distortionary taxation in the future. In addition, the level of the capital stock in these economies is likely to be suboptimally low, and reducing government debt will crowd in additional capital. Using a version of the Blanchard-Yaari model of perpetual youth, with both public and private capital, we show that it is optimal in steady state for the government to hold assets. However, we also show how and why this level of government assets can fall short of both the level of debt that achieves the optimal capital stock and the level that eliminates income taxes. Finally, we compute the optimal adjustment path to this steady state