stochastic bayesian approach to solving non-linear systems
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A market maker or liquidity provider is a company, or an individual, that quotes both a
buy and a sell price in a financial instrument or commodityheld in inventory, hoping to
make a profit on the bid-offer spread, or turn.[1][2] The U.S. Securities and Exchange
Commission defines a ‘“market maker’” as a firm that stands ready to buy and
sell stockon a regular and continuous basis at a publicly quoted price.[3]
A Designated Primary Market Maker (DPM) is a specialized market maker approved by
an exchange to guarantee that he or she will take the position in a particular assigned
security, option or option index.[4
Game theory is the study of strategic decision making. Specifically, it is "the study
ofmathematical models of conflict and cooperation between intelligent rational decision-
makers."[1] An alternative term suggested "as a more descriptive name for the discipline"
is interactive decision theory.[2] Game theory is mainly used in economics, political
science, and psychology, as well as logic,computer science, and biology. The subject
first addressed zero-sum games, such that one person's gains exactly equal net losses of
the other participant or participants. Today, however, game theory applies to a wide
range of behavioral relations, and has developed into an umbrella term for the logical
side of decision science, including both humans and non-humans (e.g. computers,
animals).
Modern game theory began with the idea regarding the existence of mixed-strategy
equilibria in two-person zero-sum games and its proof by John von Neumann. Von
Neumann's original proof usedBrouwer fixed-point theorem on