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 ...
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 ...
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 ...
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 ...
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 ...
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 ...
“All in.” Your opponent slides a stack of chips across the high-stakes poker table. You glance back at your cards, a pair of sixes. The game is Texas Hold’em. Only two of you remain, and no community ...
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 ...