Tuesday, July 22, 2008

Evolutionary Game Theory

This of course was first introduced to me by the show called a Beautiful Mind. It is about the story of John Nash



It is true such mathematics could seem cold and austere. Realizing the complexity of emotive and intellectual pursuances, on how such a gathering can be conducive to propelling society forward with the idealizations developed by looking within self.

Something inherent, "as a pattern" within our nature?

So self discovery and journaling become a useful tool, when all of life's events can be "different from day today."

Emotive reactive mental changes, arising from some inherent understanding as a constituent of that group? Intellectual mathematical embracing to new societal futures? Knowledge. To become aware.I thought it better to remove from the comment lineup at Bee's.

Backreaction: Openness in Science posting is linked here to show dynamical behaviour that has a basis with which to consider. The fundamental constituent of each individual by contribution can change the whole dynamics of society "by adding value" from the context of self, it's idealizations, which can become an operative function of that society as a whole.

It was a "early recognition" for me as my pursuance to understand "mathematical relations" which can be drawn at the basis of society, our being, and it's commutative organizational faculties. These of course helped me to recognize that not only psychological models can be drawn, but that these dynamics could have been expanded upon by such diagrams, to illustrate, the patterns inherent in our natures and conduct toward other people.

Now without understanding the evolution of the philosophy which I had developed along side of my everyday thinking, what use to mention emotive or abstraction nature of the mind if it cannot find it's relations to the physiological functions of the human body and brain?

Game Theory

Game theory is the study of the ways in which strategic interactions among rational players produce outcomes with respect to the preferences (or utilities) of those players, none of which might have been intended by any of them. The meaning of this statement will not be clear to the non-expert until each of the italicized words and phrases has been explained and featured in some examples. Doing this will be the main business of this article. First, however, we provide some historical and philosophical context in order to motivate the reader for all of this technical work ahead......

6. Evolutionary Game Theory

has recently felt justified in stating baldly that "game theory is a universal language for the unification of the behavioral sciences." This may seem an extraordinary thing to say, but it is entirely plausible. Binmore (1998, 2005a) has modeled social history as a series of convergences on increasingly efficient equilibria in commonly encountered transaction games, interrupted by episodes in which some people try to shift to new equilibria by moving off stable equilibrium paths, resulting in periodic catastrophes. (Stalin, for example, tried to shift his society to a set of equilibria in which people cared more about the future industrial, military and political power of their state than they cared about their own lives. He was not successful; however, his efforts certainly created a situation in which, for a few decades, many Soviet people attached far less importance to other people's lives than usual.) Furthermore, applications of game theory to behavioral topics extend well beyond the political arena.


While I have always pushed to indicate the very idea that "mathematical organization" exists at the very fundamental levels of our being, this would not mean much to person in society who goes about their lives living the mundane. Without considerations of a larger context at play in society while ever recognizing the diversity that such probabilities such actions can take when groups of individuals gather together in this communicative relationship of chance and change.


This Nobel Prize award was of interest to me.

The Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel 2007


"for having laid the foundations of mechanism design theory"

Leonid Hurwicz

Eric S.Maskin


Roger B. Myerson

I first started to come to the conclusion in regards to the "social construct" and the relationship it had to the mathematical environmental when I saw the movie, "The Beautiful Mind." It was based on the story of John Nash.

A Theory is Born

This science is unusual in the breadth of its potential applications. Unlike physics or chemistry, which have a clearly defined and narrow scope, the precepts of game theory are useful in a whole range of activities, from everyday social interactions and sports to business and economics, politics, law, diplomacy and war. Biologists have recognized that the Darwinian struggle for survival involves strategic interactions, and modern evolutionary theory has close links with game theory.

Game theory got its start with the work of John von Neumann in the 1920s, which culminated in his book with Oskar Morgenstern. They studied "zero-sum" games where the interests of two players were strictly opposed. John Nash treated the more general and realistic case of a mixture of common interests and rivalry and any number of players. Other theorists, most notably Reinhard Selten and John Harsanyi who shared the 1994 Nobel Memorial Prize with Nash, studied even more complex games with sequences of moves, and games where one player has more information than others.


It is important to keep present the work in science that is ongoing so one sees the consistency with which this process has been unfolding and is part of what awareness does not take in with our everyday life.

How a simple mathematic formula is starting to explain the bizarre prevalence of altruism in society Why do humans cooperate in things as diverse as environment conservation or the creation of fairer societies, even when they don’t receive anything in exchange or, worst, they might even be penalized?


See:

Inside the Mathematical Universe

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