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Statistics concept
Bayesian programming is a formalism and a methodology for having a technique to specify probabilistic models and solve problems when less than the necessary
Bayesian_programming
Program synthesis technique
programming languages and machine learning, Bayesian program synthesis (BPS) is a program synthesis technique where Bayesian probabilistic programs automatically
Bayesian_program_synthesis
Method of statistical inference
K. (2013). Bayesian Programming (1 edition) Chapman and Hall/CRC. Daniel Roy (2015). "Probabilistic Programming". probabilistic-programming.org. Archived
Bayesian_inference
Software system for statistical models
Statistical relational learning Inductive programming Bayesian programming Plate notation "Probabilistic programming does in 50 lines of code what used to
Probabilistic_programming
data using statistics Bayesian programming – Statistics concept Bayesian program synthesis – Program synthesis technique Bayesian quadrature – Method in
List of things named after Thomas Bayes
List_of_things_named_after_Thomas_Bayes
Interpretation of probability
Bayesian probability (/ˈbeɪziən/ BAY-zee-ən or /ˈbeɪʒən/ BAY-zhən) is an interpretation of the concept of probability, in which, instead of frequency or
Bayesian_probability
Game theory concept
blocking costs. Bayesian-optimal mechanism Bayesian-optimal pricing Bayesian programming Bayesian inference Zamir, Shmuel (2009). "Bayesian Games: Games
Bayesian_game
Probabilistic graphical representation of causal relationships
A Bayesian network (also known as a Bayes network, Bayes net, belief network, or decision network) is a probabilistic graphical model that represents a
Bayesian_network
Theory and paradigm of statistics
Bayesian statistics (/ˈbeɪziən/ BAY-zee-ən or /ˈbeɪʒən/ BAY-zhən) is a theory in the field of statistics based on the Bayesian interpretation of probability
Bayesian_statistics
Process for estimating a probability density function
In probability theory, statistics, and machine learning, recursive Bayesian estimation, also known as a Bayes filter, is a general probabilistic approach
Recursive_Bayesian_estimation
Mathematical game
Markov perfect Mertens-stable Nash Strong Coalition-proof Perfect Bayesian Program Proper Quantal response Quasi-perfect Satisfaction Self-confirming
Guess_2/3_of_the_average
Decision rule used for minimizing the possible loss for a worst-case scenario
Markov perfect Mertens-stable Nash Strong Coalition-proof Perfect Bayesian Program Proper Quantal response Quasi-perfect Satisfaction Self-confirming
Minimax
Probabilistic classification algorithm
naive Bayes is not (necessarily) a Bayesian method, and naive Bayes models can be fit to data using either Bayesian or frequentist methods. Naive Bayes
Naive_Bayes_classifier
Logical paradox in decision-making theory
Markov perfect Mertens-stable Nash Strong Coalition-proof Perfect Bayesian Program Proper Quantal response Quasi-perfect Satisfaction Self-confirming
Paradox_of_tolerance
Standard example in game theory
[citation needed] Deriving the optimal strategy is generally done in two ways: Bayesian Nash equilibrium: If the statistical distribution of opposing strategies
Prisoner's_dilemma
Mathematical models of strategic interactions
non-cooperative games”. Harsanyi had applied Bayesian inference to game theory in formulating Bayesian games, whereas Selten had introduced the solution
Game_theory
Situation where total gains match total losses
often solved with the minimax theorem which is closely related to linear programming duality, or with Nash equilibrium. In contrast, positive-sum or win–win
Zero-sum_game
Technique for teaching a computer or a robot new behaviors
concept, supported by new programming languages that are similar to simulators. This framework can be contrasted with Bayesian program synthesis. The PbD paradigm
Programming_by_demonstration
characterized as network bandwidth, data bandwidth, or digital bandwidth. Bayesian programming A formalism and a methodology for having a technique to specify probabilistic
Glossary_of_computer_science
Paper-and-pencil game for two players
the searching of game trees. It is straightforward to write a computer program to play tic-tac-toe perfectly or to enumerate the 765 essentially different
Tic-tac-toe
Hand game for two players or more
scissors programming contests, many strong algorithms have emerged. For example, Iocaine Powder, which won the First International RoShamBo Programming Competition
Rock_paper_scissors
Statistical technique used for feature selection
Bayesian structural time series (BSTS) model is a statistical technique used for feature selection, time series forecasting, nowcasting, inferring causal
Bayesian structural time series
Bayesian_structural_time_series
Concept in game theory
Markov perfect Mertens-stable Nash Strong Coalition-proof Perfect Bayesian Program Proper Quantal response Quasi-perfect Satisfaction Self-confirming
Shapley_value
Sequential model-based optimization of expensive black-box functions
Bayesian optimization is a sequential model-based strategy for global optimization of black-box objective functions whose evaluations are costly. It is
Bayesian_optimization
Type of stable matching problem
constraint programming model is also available as part of the R matchingMarkets package. API: The MatchingTools API provides a free application programming interface
Stable_roommates_problem
Statistical Markov model
order (example 2.6). Andrey Markov Baum–Welch algorithm Bayesian inference Bayesian programming Richard James Boys Conditional random field Estimation
Hidden_Markov_model
Solution concept of a non-cooperative game
equilibrium - another relaxation of Nash equilibrium. Extended Mathematical Programming § Equilibrium Problems This term is dispreferred, as it can also mean
Nash_equilibrium
Type of probability distribution
multivariate hypergeometric distribution, and the elliptical distribution. Bayesian programming Chow–Liu tree Conditional probability Copula (probability theory)
Joint probability distribution
Joint_probability_distribution
Concept in game theory
Markov perfect Mertens-stable Nash Strong Coalition-proof Perfect Bayesian Program Proper Quantal response Quasi-perfect Satisfaction Self-confirming
Focal_point_(game_theory)
Probabilistic programming language for Bayesian inference
is a probabilistic programming language for statistical inference written in C++. The Stan language is used to specify a (Bayesian) statistical model
Stan_(software)
Lee's work). Active inference Bayesian approaches to brain function Bayesian programming Rational analysis Anderson, John (1990). The Adaptive Character of
Bayesian_cognitive_science
Resource distribution game
Markov perfect Mertens-stable Nash Strong Coalition-proof Perfect Bayesian Program Proper Quantal response Quasi-perfect Satisfaction Self-confirming
Blotto_game
Hungarian and American mathematician and physicist (1903–1957)
equivalence between matrix games and linear programming. Later, von Neumann suggested a new method of linear programming, using the homogeneous linear system
John_von_Neumann
Israeli-American psychologist and economist (1934–2024)
pursuits: the analysis of complex correlational structures and FORTRAN programming". Kahneman received a bachelor's degree in psychology and mathematics
Daniel_Kahneman
Tendency to overestimate in auctions
Markov perfect Mertens-stable Nash Strong Coalition-proof Perfect Bayesian Program Proper Quantal response Quasi-perfect Satisfaction Self-confirming
Winner's_curse
Level of information in economics and game theory
games), these solutions turn towards Bayesian Nash Equilibria since games with incomplete information become Bayesian games. In a game of complete information
Complete_information
Overuse of a shared resource
over-harvest common resources in both the laboratory and field. Research programs have concentrated on a number of motivational, strategic, and structural
Tragedy_of_the_commons
Search algorithm
Dartmouth Workshop met Alex Bernstein of IBM, who was writing a chess program. McCarthy invented alpha–beta search and recommended it to him, but Bernstein
Alpha–beta_pruning
Solution concept in Game Theory
perfect-information solution concept to bayesian games, and also a broader solution concept than the usual Bayesian Nash equilibrium thereof. Additionally
Bayes_correlated_equilibrium
Function graph representing factorization
the model. Belief propagation Bayesian inference Bayesian programming Conditional probability Markov network Bayesian network Hammersley–Clifford theorem
Factor_graph
Concept in game theory
straightforward. A weaker degree is Bayesian-Nash incentive-compatibility (BNIC). This means there is a Bayesian Nash equilibrium in which all participants
Incentive_compatibility
Game theory scenario
Glossary Game theorists Games Traditional game theory Definitions Asynchrony Bayesian regret Best response Bounded rationality Cheap talk Coalition Complete
Win–win_game
Game illustrating paradox in rational choice theory
Markov perfect Mertens-stable Nash Strong Coalition-proof Perfect Bayesian Program Proper Quantal response Quasi-perfect Satisfaction Self-confirming
Dollar_auction
Poker game developed by Harold Kuhn
Vol. 1. Princeton University Press. pp. 97–103. James Peck. "Perfect Bayesian Equilibrium" (PDF). Ohio State University. Retrieved 2 September 2016.
Kuhn_poker
Problem in process of sharing surplus
Markov perfect Mertens-stable Nash Strong Coalition-proof Perfect Bayesian Program Proper Quantal response Quasi-perfect Satisfaction Self-confirming
Cooperative_bargaining
Military strategy during the Cold War with regard to the use of nuclear weapons
biological weapons programs were pursued by both countries in the first two decades of the Cold War, but the United States program was ended by president
Deterrence_theory
Field of economics and game theory
proposed mechanism constitutes a Bayesian game (a game of private information), and if it is well-behaved the game has a Bayesian Nash equilibrium. At equilibrium
Mechanism_design
Weakly optimal allocation of resources
with probability 1⁄2 each gives an expected utility of 1⁄2 to each voter. Bayesian efficiency is an adaptation of Pareto efficiency to settings in which players
Pareto_efficiency
Statistical model written in multiple levels
Bayesian hierarchical modelling is a statistical model written in multiple levels (hierarchical form) that estimates the posterior distribution of model
Bayesian hierarchical modeling
Bayesian_hierarchical_modeling
Situation where all parties are worse off
Markov perfect Mertens-stable Nash Strong Coalition-proof Perfect Bayesian Program Proper Quantal response Quasi-perfect Satisfaction Self-confirming
No-win_situation
Game class in game theory
In game theory, a signaling game is a type of a dynamic Bayesian game. The essence of a signaling game is that one player takes action, the signal, to
Signaling_game
Solution concept in Game Theory
static games of incomplete information. It is a generalization of the usual Bayesian Nash equilibrium, allowing for players to underestimate the connection
Cursed_equilibrium
Facilitating a peaceful outcome to a dispute
ISBN 978-0-664-21961-1. Uppsala Conflict Data Program. "Definitions: Warring party". Accessed April 2013. Uppsala Conflict Data Program. "Definitions: Peace agreement"
Conflict_resolution
Method for finding lost objects
Bayesian search theory is the application of Bayesian statistics to the search for lost objects. It has been used several times to find sunken ships,
Bayesian_search_theory
Zero-sum game where competitions between strategies contain a cycle
Glossary Game theorists Games Traditional game theory Definitions Asynchrony Bayesian regret Best response Bounded rationality Cheap talk Coalition Complete
Intransitive_game
Political model of international conflict resolution
Markov perfect Mertens-stable Nash Strong Coalition-proof Perfect Bayesian Program Proper Quantal response Quasi-perfect Satisfaction Self-confirming
Two-level_game_theory
Conflict between safety and cooperation
Markov perfect Mertens-stable Nash Strong Coalition-proof Perfect Bayesian Program Proper Quantal response Quasi-perfect Satisfaction Self-confirming
Stag_hunt
Condition in economics and game theory
Markov perfect Mertens-stable Nash Strong Coalition-proof Perfect Bayesian Program Proper Quantal response Quasi-perfect Satisfaction Self-confirming
Perfect_information
Analog of Pareto efficiency for situations with incomplete information
Bayesian efficiency is an analog of Pareto efficiency for situations in which there is incomplete information. Under Pareto efficiency, an allocation of
Bayesian_efficiency
Python package
for exploratory analysis of Bayesian models. It is specifically designed to work with the output of probabilistic programming libraries like PyMC, Stan
ArviZ
English saying meaning "equivalent retaliation"
strategy it would have emerged with a higher cumulative score than any other program. As a result, he himself entered it with high expectations in the second
Tit_for_tat
Transactional view of violent conflict in international relations theory
Glossary Game theorists Games Traditional game theory Definitions Asynchrony Bayesian regret Best response Bounded rationality Cheap talk Coalition Complete
Bargaining_model_of_war
Model of humans as rational, self-interested agents
Markov perfect Mertens-stable Nash Strong Coalition-proof Perfect Bayesian Program Proper Quantal response Quasi-perfect Satisfaction Self-confirming
Homo_economicus
Concept in game theory involving long-term strategic planning
Glossary Game theorists Games Traditional game theory Definitions Asynchrony Bayesian regret Best response Bounded rationality Cheap talk Coalition Complete
Farsightedness_(game_theory)
Two-player coordination game in game theory
Markov perfect Mertens-stable Nash Strong Coalition-proof Perfect Bayesian Program Proper Quantal response Quasi-perfect Satisfaction Self-confirming
Battle of the sexes (game theory)
Battle_of_the_sexes_(game_theory)
Proof all ranked voting rules have spoilers
information than simply what I have asked for. Harsanyi, John C. (1979-09-01). "Bayesian decision theory, rule utilitarianism, and Arrow's impossibility theorem"
Arrow's_impossibility_theorem
Experimental tool
Glossary Game theorists Games Traditional game theory Definitions Asynchrony Bayesian regret Best response Bounded rationality Cheap talk Coalition Complete
Dictator_game
Game theory case weighing own/others' sacrifice
Markov perfect Mertens-stable Nash Strong Coalition-proof Perfect Bayesian Program Proper Quantal response Quasi-perfect Satisfaction Self-confirming
Volunteer's_dilemma
Hand game for two or more players
Markov perfect Mertens-stable Nash Strong Coalition-proof Perfect Bayesian Program Proper Quantal response Quasi-perfect Satisfaction Self-confirming
Chopsticks_(hand_game)
Quality of a strategy in game theory
Markov perfect Mertens-stable Nash Strong Coalition-proof Perfect Bayesian Program Proper Quantal response Quasi-perfect Satisfaction Self-confirming
Strategic_dominance
Game theory concept
Markov perfect Mertens-stable Nash Strong Coalition-proof Perfect Bayesian Program Proper Quantal response Quasi-perfect Satisfaction Self-confirming
Subgame_perfect_equilibrium
Making of satisfactory, not optimal, decisions
Markov perfect Mertens-stable Nash Strong Coalition-proof Perfect Bayesian Program Proper Quantal response Quasi-perfect Satisfaction Self-confirming
Bounded_rationality
Pairing where no unchosen pair prefers each other over their choice
couple want to ensure that they will stay together and not be stuck in programs that are far away from each other). The addition of couples to the hospitals/residents
Stable_matching_problem
Diplomatic policy of concessions
Markov perfect Mertens-stable Nash Strong Coalition-proof Perfect Bayesian Program Proper Quantal response Quasi-perfect Satisfaction Self-confirming
Appeasement
Solution concept in game theory
In game theory, a Perfect Bayesian Equilibrium (PBE) is a solution with Bayesian probability to a turn-based game with incomplete information. More specifically
Perfect_Bayesian_equilibrium
Probabilistic programming library for the Python programming language
(formerly known as PyMC3) is a probabilistic programming library for Python. It can be used for Bayesian statistical modeling and probabilistic machine
PyMC
English mathematician and game theorist (born 1940)
Explains foundations of Bayesian decision theory and why Leonard Savage restricted it to small worlds. Argues that Bayesian approach inadequate in a
Kenneth_Binmore
Canadian AI researcher
He received his PhD in 2009. He is well known for having developed Bayesian Program Learning. Salakhutdinov is a professor of computer science at Carnegie
Ruslan_Salakhutdinov
Glossary Game theorists Games Traditional game theory Definitions Asynchrony Bayesian regret Best response Bounded rationality Cheap talk Coalition Complete
Contingent_cooperator
Refinement of Nash equilibrium
assessment for the game. Informally speaking, an assessment is a perfect Bayesian equilibrium if its strategies are sensible given its beliefs and its beliefs
Sequential_equilibrium
Preference of known risks to unknown risks
Markov perfect Mertens-stable Nash Strong Coalition-proof Perfect Bayesian Program Proper Quantal response Quasi-perfect Satisfaction Self-confirming
Ambiguity_aversion
Paradox of combining strategies
Markov perfect Mertens-stable Nash Strong Coalition-proof Perfect Bayesian Program Proper Quantal response Quasi-perfect Satisfaction Self-confirming
Parrondo's_paradox
Markov perfect Mertens-stable Nash Strong Coalition-proof Perfect Bayesian Program Proper Quantal response Quasi-perfect Satisfaction Self-confirming
List_of_games_in_game_theory
Game-theoretic concept
Markov perfect Mertens-stable Nash Strong Coalition-proof Perfect Bayesian Program Proper Quantal response Quasi-perfect Satisfaction Self-confirming
Cheap_talk
Simple mathematical game
Markov perfect Mertens-stable Nash Strong Coalition-proof Perfect Bayesian Program Proper Quantal response Quasi-perfect Satisfaction Self-confirming
Pirate_game
Formal rule for predicting how a game will be played
perfection cannot be used to eliminate any Nash equilibria. A perfect Bayesian equilibrium (PBE) is a specification of players' strategies and beliefs
Solution_concept
Type of signaling game
Markov perfect Mertens-stable Nash Strong Coalition-proof Perfect Bayesian Program Proper Quantal response Quasi-perfect Satisfaction Self-confirming
Lewis_signaling_game
Game in economic experiments
S2CID 220642229. Fudenberg, Drew; Tirole, Jean (1991-04-01). "Perfect Bayesian equilibrium and sequential equilibrium". Journal of Economic Theory. 53
Ultimatum_game
Human behavior pattern in which the participant takes on increasing risk
Daily Meetings". Agile Processes in Software Engineering and Extreme Programming. Lecture Notes in Business Information Processing. Vol. 111. pp. 153–167
Escalation_of_commitment
In board games that cannot end in a draw, one of the two players has a winning strategy
Glossary Game theorists Games Traditional game theory Definitions Asynchrony Bayesian regret Best response Bounded rationality Cheap talk Coalition Complete
Zermelo's theorem (game theory)
Zermelo's_theorem_(game_theory)
Term in game theory
Markov perfect Mertens-stable Nash Strong Coalition-proof Perfect Bayesian Program Proper Quantal response Quasi-perfect Satisfaction Self-confirming
Move_by_nature
Glossary Game theorists Games Traditional game theory Definitions Asynchrony Bayesian regret Best response Bounded rationality Cheap talk Coalition Complete
Asynchrony_(game_theory)
Concept in conflict studies
Markov perfect Mertens-stable Nash Strong Coalition-proof Perfect Bayesian Program Proper Quantal response Quasi-perfect Satisfaction Self-confirming
Conflict_escalation
Variation of minimax game tree search
Bibcode:1989ITPAM..11.1203S. doi:10.1109/34.42858. Negamax at the Chess Programming Wiki A C99 implementation of the Negamax algorithm for the Tic-Tac-Toe
Negamax
Method of statistical analysis
Bayesian linear regression is a type of conditional modeling in which the mean of one variable is described by a linear combination of other variables
Bayesian_linear_regression
Technique in mechanism design
In economics and game theory, Bayesian persuasion occurs when one participant (the sender) wants to persuade the other (the receiver) of a certain course
Bayesian_persuasion
Computational method in Bayesian statistics
Approximate Bayesian computation (ABC) constitutes a class of computational methods rooted in Bayesian statistics that can be used to estimate the posterior
Approximate Bayesian computation
Approximate_Bayesian_computation
Branch of econometrics
Bayesian econometrics is a branch of econometrics which applies Bayesian principles to economic modelling. Bayesianism is based on a degree-of-belief interpretation
Bayesian_econometrics
Finding an optimal algorithm for playing chess
intractable problem. On March 9, 1949, Shannon presented a paper called "Programming a Computer for playing Chess". The paper was presented at the Institute
Solving_chess
Game theory solution
Aumann, Robert (1987). "Correlated Equilibrium as an Expression of Bayesian Rationality". Econometrica. 55 (1): 1–18. doi:10.2307/1911154. JSTOR 1911154
Correlated_equilibrium
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