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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
Weakly optimal allocation of resources
gives an expected utility of 1⁄2 to each voter. Bayesian efficiency is an adaptation of Pareto efficiency to settings in which players have incomplete information
Pareto_efficiency
Mathematical decision rule
utility function. An alternative way of formulating an estimator within Bayesian statistics is maximum a posteriori estimation. Suppose an unknown parameter
Bayes_estimator
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
Game theory concept
In game theory, a Bayesian game is a strategic decision-making model which assumes players have incomplete information. Players may hold private information
Bayesian_game
redirect targets Bayesian cognitive science Bayesian econometrics – Branch of econometrics Bayesian efficiency – Analog of Pareto efficiency for situations
List of things named after Thomas Bayes
List_of_things_named_after_Thomas_Bayes
Paper-and-pencil game for two players
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Tic-tac-toe
Search algorithm
make them more time-efficient, but typically at a heavy cost in space-efficiency. Minimax Expectiminimax Negamax Pruning (algorithm) Branch and bound Combinatorial
Alpha–beta_pruning
Solution concept of a non-cooperative game
removed, which means that adding another possible route can decrease the efficiency of the system, a phenomenon known as Braess's paradox. This can be illustrated
Nash_equilibrium
Concept in game theory
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Focal_point_(game_theory)
Israeli-American psychologist and economist (1934–2024)
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Daniel_Kahneman
Game whose outcome can be correctly predicted
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Solved_game
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
Concept in game theory
It is the only solution that satisfies four fundamental properties: efficiency, symmetry, additivity, and the dummy player (or null player) property
Shapley_value
Political model of international conflict resolution
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Two-level_game_theory
Situation where all parties are worse off
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
No-win_situation
Method of statistical inference
Bayesian inference (/ˈbeɪziən/ BAY-zee-ən or /ˈbeɪʒən/ BAY-zhən) is a method of statistical inference in which Bayes' theorem is used to calculate a probability
Bayesian_inference
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
Hungarian and American mathematician and physicist (1903–1957)
S2CID 13503517. Stacey, B. C. (2016). "Von Neumann was not a Quantum Bayesian". Philosophical Transactions of the Royal Society A. 374 (2068) 20150235
John_von_Neumann
Logical paradox in decision-making theory
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Paradox_of_tolerance
Finding an optimal algorithm for playing chess
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Solving_chess
Overuse of a shared resource
schemes are often invented by the users for maintaining them at optimum efficiency. Another prominent example of this is the deliberative process of granting
Tragedy_of_the_commons
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
Model of humans as rational, self-interested agents
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Homo_economicus
Hand game for two or more players
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Chopsticks_(hand_game)
Mathematical models of strategic interactions
but may not know how well their opponent knows his or her own character. Bayesian game means a strategic game with incomplete information. For a strategic
Game_theory
Hand game for two players or more
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Rock_paper_scissors
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
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
Decision rule used for minimizing the possible loss for a worst-case scenario
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Minimax
Concept in conflict studies
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Conflict_escalation
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
Model of conflict for two players in game theory
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Chicken_(game)
Situation where total gains match total losses
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Zero-sum_game
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
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
List_of_games_in_game_theory
Complete plan on how a game player will behave in every possible game situation
every possible rule for which offers to accept and which to reject. In a Bayesian game, or games in which players have incomplete information about one another
Strategy_(game_theory)
Incomplete-information coordination game
{\displaystyle n+1} emails The equilibrium concept to be used is that of a Bayesian Nash Equilibrium (BNE). Rubinstein showed that, no matter how small the
Electronic_mail_game
Making of satisfactory, not optimal, decisions
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Bounded_rationality
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 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
Problem in process of sharing surplus
bargaining problem that satisfies the axioms of scale invariance, symmetry, efficiency, and independence of irrelevant alternatives. According to Paul Walker
Cooperative_bargaining
In board games that cannot end in a draw, one of the two players has a winning strategy
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Zermelo's theorem (game theory)
Zermelo's_theorem_(game_theory)
Condition in economics and game theory
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Perfect_information
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
Variation of minimax game tree search
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Negamax
Experimental tool
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Dictator_game
Game where groups of players may enforce cooperative behaviour
fairness. Some properties to look for in a solution concept include: Efficiency: The payoff vector exactly splits the total value: ∑ i ∈ N x i = v ( N
Cooperative_game_theory
English saying meaning "equivalent retaliation"
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Tit_for_tat
Israeli psychologist (1937–1996)
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Amos_Tversky
Mathematical game
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Guess_2/3_of_the_average
Pairing where no unchosen pair prefers each other over their choice
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Stable_matching_problem
Game theory scenario
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Win–win_game
Principle in economics and game theory
player. A direct-mechanism Mech is said to be Bayesian-Nash-Incentive-compatible (BNIC) if there is a Bayesian Nash equilibrium of Game(Mech) in which all
Revelation_principle
Quality of a strategy in game theory
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Strategic_dominance
Simultaneous game found in game theory
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Coordination_game
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 concept
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Subgame_perfect_equilibrium
Tendency to overestimate in auctions
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Winner's_curse
Simple mathematical game
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Pirate_game
When a decision-maker's future preferences can contradict earlier preferences
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Dynamic_inconsistency
Application of game theory to evolving populations in biology
optimisation. The mathematical criteria of determining stable points are Pareto efficiency and Pareto dominance, a measure of solution optimality peaks in multivariable
Evolutionary_game_theory
Diplomatic policy of concessions
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Appeasement
Decrease in severity of conflicts
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
De-escalation
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
Statement that players know and also know that other players know (ad infinitum)
and proven by Milgrom shows that, given certain conditions on market efficiency and information, speculative trade is impossible. The concept of common
Common_knowledge_(logic)
Hungarian-American economist and philosopher (1920–2000)
highly innovative analysis of games of incomplete information, so-called Bayesian games. He also made important contributions to the use of game theory and
John_Harsanyi
Problem in game theory
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
El_Farol_Bar_problem
Preference of known risks to unknown risks
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Ambiguity_aversion
Cooperation between firms to limit competition
independence of suppliers forces prices to their minimum, increasing efficiency and decreasing the price-determining ability of each firm. However, if
Collusion
Solution concept in game theory
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Evolutionarily stable strategy
Evolutionarily_stable_strategy
Two-player coordination game in game theory
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Battle of the sexes (game theory)
Battle_of_the_sexes_(game_theory)
Paradox of combining strategies
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Parrondo's_paradox
Human behavior pattern in which the participant takes on increasing risk
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Escalation_of_commitment
Economic phenomenon
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Tyranny_of_small_decisions
Trigger strategy
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Grim_trigger
Economic model of competition
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Bertrand_competition
Facilitating a peaceful outcome to a dispute
conflict parties. When personal conflict leads to frustration and loss of efficiency, counseling may prove helpful. Although few organizations can afford to
Conflict_resolution
Field in social science
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Peace_and_conflict_studies
Branch of game theory about two-player sequential games with perfect information
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Combinatorial_game_theory
Conflict between safety and cooperation
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Stag_hunt
Combinatorial game theory theorem
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Sprague–Grundy_theorem
Game theory model of aggression
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
War_of_attrition_(game)
Representation of a game in game theory
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Normal-form_game
Concept in game theory
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Best_response
Mathematical modelling of phenotypic evolution
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Evolutionary invasion analysis
Evolutionary_invasion_analysis
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
Dynamical system
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Replicator_equation
Concept in game theory
development of solution concepts such as subgame perfect equilibrium and perfect Bayesian equilibrium. Information sets are primarily used in extensive form representations
Information_set_(game_theory)
Resource distribution game
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Blotto_game
Israeli-American mathematician (born 1930)
agreement theorem, in which he argues that under his given conditions, two Bayesian rationalists with common prior beliefs cannot agree to disagree. Aumann
Robert_Aumann
Notion in combinatorial game theory
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Game_complexity
Enhancement of Alpha–Beta game tree search
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Principal_variation_search
Computational Social Choice. Social-utility efficiency … Smith referred to a similar formulation as Bayesian regret "Range voting with mixtures of honest
Social_utility_efficiency
Economic model
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Stackelberg_competition
Neologism for cooperative competition
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Coopetition
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Conjectural_variation
Concept in mechanism design
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Strategyproofness
Subset of a game; used in game theory
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Subgame
Modelling evolution using differential equations
concepts Backward induction Bayes correlated equilibrium Bayesian efficiency Bayesian game Bayesian Nash equilibrium Berge equilibrium Bertrand–Edgeworth
Evolutionary_dynamics
BAYESIAN EFFICIENCY
BAYESIAN EFFICIENCY
Girl/Female
Arabic, Muslim
To Walk with Pride
Boy/Male
Muslim
Girl/Female
Indian
Efficiency, Care
Boy/Male
Indian
Girl/Female
Muslim
To walk with pride
Girl/Female
Tamil
Dakshhtha | தகà¯à®·à®¾à®¹à®¤à®¾
Efficiency, Care
BAYESIAN EFFICIENCY
BAYESIAN EFFICIENCY
Girl/Female
Hindu, Indian
Knowledge
Girl/Female
Indian
Resounding, A proclamation, Noise, Fame, Fame
Girl/Female
Bengali, French, Hebrew, Hindu, Indian, Sanskrit
Permanently
Boy/Male
Hindu
(Second son of Madri and Pandu; The youngest Pandava. One of the two twin sons of Madri fathered by the Ashvini gods.)
Boy/Male
African, Australian, Swahili
Wickedness
Boy/Male
British, English, German
Weaver
Girl/Female
Bengali, Indian
Pious
Boy/Male
Indian
Strong and powerful
Female
French
Variant spelling of French Osanne, OZANNE means "deliver us."
Boy/Male
Hindu
BAYESIAN EFFICIENCY
BAYESIAN EFFICIENCY
BAYESIAN EFFICIENCY
BAYESIAN EFFICIENCY
BAYESIAN EFFICIENCY
n.
Power to produce results; efficiency; force; importance; account; as, to speak with effect.
v. t.
Power of action; agency; efficiency.
a.
Possessed of, or characterized by, expedition, or efficiency and rapidity in action; performed with, or acting with, expedition; quick; having celerity; speedily; as, an expeditious march or messenger.
v. t.
To hinder from acting or moving; to prevent the effect or efficiency of; to cause to cease; to repress; to restrain; to suppress; to interrupt; to suspend; as, to stop the execution of a decree, the progress of vice, the approaches of old age or infirmity.
a.
Possessing force; characterized by force, efficiency, or energy; powerful; efficacious; impressive; influential.
v. t.
To corrupt or undermine in morals; to destroy or lessen the effect of moral principles on; to render corrupt or untrustworthy in morals, in discipline, in courage, spirit, etc.; to weaken in spirit or efficiency.
a.
Furnished with whatever serves to add strength, force, or efficiency.
n.
The quality of being efficient or producing an effect or effects; efficient power; effectual agency.
n.
The efficiency of an engine, especially a steam pumping engine, as measured by work done by a certain quantity of fuel; usually, the number of pounds of water lifted one foot by one bushel of coal (94 lbs. old standard), or by 1 cwt. (112 lbs., England, or 100 lbs., United States).
v. t.
To furnish with strength for action; to prepare for efficiency; to fortify.
v. t.
to overthrow; to demolish; to destroy; to deprive of efficiency; to ruin; as, to prostrate a village; to prostrate a government; to prostrate law or justice.
superl.
Wanting force, vigor, or efficiency in action or expression; not full, loud, bright, strong, rapid, etc.; faint; as, a feeble color; feeble motion.
n.
Alt. of Efficiency
n.
Joint efficiency; cooperation.
n.
The ratio of useful work to energy expended.
a.
Small in force or efficiency; not strong; weak; slight; inconsiderable; as, little attention or exertion;little effort; little care or diligence.
v. i.
To have efficiency as an epispastic; to act as a sinapism; -- said of a blister, poultice, etc.
n.
A remedy which has an action similar to that of another remedy, and hence increases the efficiency of that remedy when combined with it.
n.
A quantity or coefficient, or constant, which expresses the measure of some specified force, property, or quality, as of elasticity, strength, efficiency, etc.; a parameter.