# NON-COOPERATIVE GAMES

@article{Nash2020NONCOOPERATIVEG, title={NON-COOPERATIVE GAMES}, author={John F. Nash}, journal={Classics in Game Theory}, year={2020} }

we would call cooperative. This theory is based on an analysis of the interrelationships of the various coalitions which can be formed by the players of the game. Our theory, in contradistinction, is based on the absence of coalitions in that it is assumed that each participant acts independently, without collaboration or communication with any of the others. The notion of an equilibrium point is the basic ingredient in our theory. This notion yields a generalization of the concept of the…

## 4,002 Citations

EQUILIBRIUM IN NON-COOPERATIVE GAMES

- Economics
- 2013

These notes provide a brief introduction to the theory of non-cooperative games, with emphasis on the notion of Nash Equilibrium, and the proof of its existence by means of the Brouwer Fixed Point…

Non-cooperative games on networks

- Mathematics
- 2013

There are many examples of cooperation in action in society and in nature. In some cases cooperation leads to the increase of the overall welfare of those involved, and in other cases cooperation may…

Computational Aspects of Game Theory Bertinoro Spring School 2011 4.1 Introduction

- Economics

The concept of Nash Equilibrium embodies the fundamental idea of economics that people act according to their incentives, and thus Nash equilibria turn out to be relevant in every area where…

Equilibria and Compromises in Two-Person Zero-Sum Multicriteria Games

- Economics
- 2020

The problem is to formalize the solution of a two-person zero-sum multicriteria (MC) game, providing a payoff to both players with respect to their MC best guaranteed results. As the basic concept of…

Equilibria of the Games in Choice Form

- EconomicsJ. Optim. Theory Appl.
- 2012

It is shown that in the present framework are included classical models of game theory, and the new concept extends various known noncooperative solutions and the existence of the equilibrium in choice is found.

Hypothetical Bargaining and the Equilibrium Selection Problem in Non-Cooperative Games

- Economics
- 2016

Orthodox game theory is often criticized for its inability to single out intuitively compelling Nash equilibria in non-cooperative games. The theory of virtual bargaining, developed by Misyak and…

A solution for noncooperative games

- Economics
- 1982

In this paper, we study solutions of strict noncooperative games that are played just once. The players are not allowed to communicate with each other. The main ingredient of our theory is the…

Strategic behavior under partial cooperation

- Economics
- 2011

We investigate how a group of players might cooperate with each other within the setting of a non-cooperative game. We pursue two notions of partial cooperative equilibria that follow a modification…

Some game-theoretical aspects of parasitism and symbiosis

- Economics
- 1956

Given a two-person continuous non-constant sum game, a “solution” can be arrived at even in ignorance of the pay-off functions as each player tries to maximize his own pay-off by trial and error. The…

Learning Nash Equilibria in Non-Cooperative Games

- EconomicsEncyclopedia of Artificial Intelligence
- 2009

SALENE, a Multi-Agent System (MAS) for learning Nash Equilibria in noncooperative games is presented, which is based on the well-founded solution concepts of a game and the design of efficient algorithms for their computation.

## References

SHOWING 1-8 OF 8 REFERENCES

Equilibrium Points in N-Person Games.

- EconomicsProceedings of the National Academy of Sciences of the United States of America
- 1950

One may define a concept of an n -person game in which each player has a finite set of pure strategies and in which a definite set of payments to the n players corresponds to each n -tuple of pure…

Theory of Games and Economic Behavior.

- Economics
- 1944

This is the classic work upon which modern-day game theory is based. What began more than sixty years ago as a modest proposal that a mathematician and an economist write a short paper together…

Two-Person Cooperative Games

- Economics
- 1953

In this paper, the autor extends his previous treatment of «The Bargaining Problem» to a wider class of situations in which threats can play a role/ A new approach is introduced involving the…

Extensive Games.

- EconomicsProceedings of the National Academy of Sciences of the United States of America
- 1950

What if the opponent plays imperfectly"? 3. How do you choose one equilibrium when there are potentially many? 4. What if the Nash Equilibrium is unsatis- factory

- What if the opponent plays imperfectly"? 3. How do you choose one equilibrium when there are potentially many? 4. What if the Nash Equilibrium is unsatis- factory

What reenements, generalizations can be made based on the ideas of equilibrium", solution" as presented here?

- What reenements, generalizations can be made based on the ideas of equilibrium", solution" as presented here?

What about actually nding Nash equilibrium points?

- What about actually nding Nash equilibrium points?

Pick a favorite application economics, biology , international relations, philosophy, etc. and talk about that

- Pick a favorite application economics, biology , international relations, philosophy, etc. and talk about that