# DYNAMIC EQUILIBRIUM IN A MULTI-AGENT ECONOMY : CONSTRUCTION AND UNIQUENESS by loannis Karatzas &

@inproceedings{Lakner2015DYNAMICEI, title={DYNAMIC EQUILIBRIUM IN A MULTI-AGENT ECONOMY : CONSTRUCTION AND UNIQUENESS by loannis Karatzas \&}, author={Peter Lakner and John P. Lehoczky}, year={2015} }

We study an economy with several agents, who receive endowment streams denominated in units of a certain commodity over a finite horizon. The agents can consume the commodity, and they can also trade it at a certain "spot price" >/>; the proceeds of these transactions can be invested in financial assets, whose prices are modelled by continuous semimartingales. The objective of each agent is to choose a consumption/investment strategy that will maximize his expected utility from consumption and…

## References

SHOWING 1-10 OF 12 REFERENCES

### Existence and Uniqueness of Multi-Agent Equilibrium in a Stochastic, Dynamic Consumption/Investment Model

- EconomicsMath. Oper. Res.
- 1990

It is proved the existence and uniqueness of an "equilibrium" commodity spot price process and productive asset prices and when the agents solve their individual optimization problems using the equilibrium prices, all of the commodity is exactly consumed as it is received and the financial markets are in zero net supply.

### An Intertemporal General Equilibrium Asset Pricing Model: The Case of Diffusion Information

- Economics
- 1987

This paper provides sufficient conditions for the equilibrium price system and a vector of exogenously specified state variable processes to form a diffusion process in a pure exchange economy. The…

### Stochastic Equilibria: Existence, Spanning Number, and the 'No Expected Financial Gain from Trade' Hypothesis

- Economics
- 1986

Stochastic equilibria under uncertainty with continuous-time security trading and consumption are demonstrated in a general setting. A common question is whether the current price of a security is an…

### Implementing Arrow-Debreu equilbria by continuous trading of a few long-lived securities

- Economics
- 1985

AbstractA two-period (0 and T) Arrow-Debreu economy is set up with a general model of uncertainty. We suppose that an equilibrium exists for this economy. The Arrow-Debreu economy is placed in a…

### The Consumption-Based Capital Asset Pricing Model

- Economics
- 1989

This paper provides conditions on the primitives of a continuous-time economy under which there exist equilibria obeying the consumption-based capital asset pricing model. The paper also extends the…

### The analysis of finite security markets using martingales

- MathematicsAdvances in Applied Probability
- 1987

The theory of finite security markets developed by Harrison and Pliska [1] used the separating hyperplane theorem to establish the relationship between the lack of arbitrage opportunities and the…

### Martingales and stochastic integrals in the theory of continuous trading

- Mathematics, Economics
- 1981

### Optimal portfolio and consumption decisions for a “small investor” on a finite horizon

- Economics, Business
- 1987

A general consumption/investment problem is considered for an agent whose actions cannot affect the market prices, and who strives to maximize total expected discounted utility of both consumption ...

### Brownian Motion and Stochastic Calculus

- Mathematics
- 1987

This chapter discusses Brownian motion, which is concerned with continuous, Square-Integrable Martingales, and the Stochastic Integration, which deals with the integration of continuous, local martingales into Markov processes.