# Games with Incomplete Information Played by "Bayesian" Players, I-III: Part I. The Basic Model&

@article{Harsanyi2004GamesWI, title={Games with Incomplete Information Played by "Bayesian" Players, I-III: Part I. The Basic Model\&}, author={John C. Harsanyi}, journal={Manag. Sci.}, year={2004}, volume={50}, pages={1804-1817} }

(This article originally appeared in Management Science, November 1967, Volume 14, Number 3, pp. 159-182, published by The Institute of Management Sciences.)
The paper develops a new theory for the analysis of games with incomplete information where the players are uncertain about some important parameters of the game situation, such as the payoff functions, the strategies available to various players, the information other players have about the game, etc. However, each player has a…

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## References

SHOWING 1-10 OF 20 REFERENCES

28. Mixed and Behavior Strategies in Infinite Extensive Games

- Computer Science, Mathematics
- 1964

The notion of mixed strategy is defined to prove the appropriate generalization of Kuhn’s theorem on optimal behavior strategies in games of perfect recall to prove that in a game which is of perfect Recall for one player, that player can restrict himself to behavior strategies.

Theory of Games and Economic Behavior

- EconomicsNature
- 1946

THIS book is based on the theory that the economic man attempts to maximize his share of the world's goods and services in the same way that a participant in a game involving many players attempts to…

A Generalized Nash Solution for Two-Person Bargaining Games with Incomplete Information

- Economics
- 1972

The paper extends Nash's theory of two-person bargaining games with fixed threats to bargaining situations with incomplete information. After defining such bargaining situations, a formal bargaining…

NON-COOPERATIVE GAMES

- Economics
- 1951

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…

THE BARGAINING PROBLEM

- EconomicsClassics in Game Theory
- 2020

A new treatment is presented of a classical economic problem, one which occurs in many forms, as bargaining, bilateral monopoly, etc. It may also be regarded as a nonzero-sum two-person game. In this…

Bargaining in ignorance of the opponent's utility function

- Economics
- 1962

1 The original version of this paper was written at the Cowles Foundation for Research in Economics at Yale University, under Contract Nonr-358 (01), NR 047-006 of the Cowles Foundation with the…

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…

A Social Equilibrium Existence Theorem*

- EconomicsProceedings of the National Academy of Sciences
- 1952

The existence theorem presented here gives general conditions under which there is for such a social system an equilibrium, i.e., a situation where the action of every agent belongs to his restricting subset and no agent has incentive to choose another action.

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…

Contributions to the theory of games

- Economics
- 1950

The description for this book, Contributions to the Theory of Games (AM-40), Volume IV, will be forthcoming.