The concept of Nash equilibrium has long served as a cornerstone in game theory, characterising a state where no player can benefit by changing their strategy unilaterally. Recent advancements have ...

This is a preview. Log in through your library . Abstract This paper studies the existence of pure-strategy Nash equilibria for nonatomic games where players take actions in infinite-dimensional ...

In 1950, John Nash — the mathematician later featured in the book and film “A Beautiful Mind” — wrote a two-page paper that transformed the theory of economics. His crucial, yet utterly simple, idea ...

Mathematics of Operations Research, Vol. 43, No. 1 (February 2018), pp. 100-129 (30 pages) We furnish conditions on the primitives of a Bayesian game that guarantee the existence of a Bayes-Nash ...

What does it mean to behave rationally? This question sounds like a problem for philosophers. Yet mathematicians also have something to say about it. In the last few decades, game theory—the ...

Nash equilibrium helps predict other investors' moves; no net gain by altering your long-term strategy. A dominant strategy excels regardless of others' actions, aiding investment decisions. Using ...

Avinash Dixit, John J. F. Sherrerd '52 University Professor of Economics at Princeton University, is John Nash's colleague and friend. He has taught economics courses on games of strategy, and written ...

In a recent artificial intelligence (AI) machine learning breakthrough in game theory, researchers solve a persistent problem with real-world applicability—for the better. At last month’s 34th ...

Game theory is the study of how and why players make decisions about their circumstances. Using game theory, real-world scenarios for such situations as pricing competition and product releases can be ...