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Information known by all participatory agents
that this knowledge is mutual. All common knowledge is mutual knowledge, but not all mutual knowledge is common knowledge. Mutual knowledge can arise
Mutual_knowledge
Mutual knowledge is a fundamental concept about information in game theory, (epistemic) logic, and epistemology. An event is mutual knowledge if all agents
Mutual_knowledge_(logic)
Mathematical models of strategic interactions
proved false by von Neumann. In 1950, John Nash developed a criterion for mutual consistency of players' strategies known as the Nash equilibrium, applicable
Game_theory
Solution concept of a non-cooperative game
players and have shown that if the game and the rationality of players is mutually known and these conjectures are commonly known, then the conjectures must
Nash_equilibrium
Statement that players know and also know that other players know (ad infinitum)
he called "mutual knowledge" ( E G p {\displaystyle E_{G}p} ) which functions quite similarly to Lewis's and Friedel's 1969 "common knowledge". If a trustworthy
Common_knowledge_(logic)
English saying meaning "equivalent retaliation"
strategy that introduces a mechanism for forgiveness to prevent long cycles of mutual defection. In a standard tit-for-tat scenario, if one player defects due
Tit_for_tat
Knowledge, beliefs and assumptions
and Susan E. Brennan. It comprises the collection of "mutual knowledge, mutual beliefs, and mutual assumptions" that is essential for communication between
Grounding_in_communication
Standard example in game theory
experiment involving two rational agents, each of whom can either cooperate for mutual benefit or betray their partner ("defect") for individual gain. The dilemma
Prisoner's_dilemma
Situation where total gains match total losses
in other situations, all parties pursuing personal interest results in mutually destructive behaviour. Copeland's review notes that an n-player non-zero-sum
Zero-sum_game
Conflict between safety and cooperation
to improve good corporate governance. Common knowledge (logic) Discourse on Inequality Mutual knowledge Pluralistic ignorance Prisoner's dilemma Social
Stag_hunt
Condition in economics and game theory
market have knowledge of all relevant information in the system. This is different than complete information, which implies common knowledge of each agent's
Perfect_information
Concept in game theory
Decision Making". International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems. 5 (5): 587–607. doi:10.1142/S0218488597000440. ISSN 0218-4885
Shapley_value
Overuse of a shared resource
to choose the number of its offspring, and to replace it by "mutual coercion, mutually agreed upon". Some scholars have argued that over-exploitation
Tragedy_of_the_commons
Model of conflict for two players in game theory
"hawk–dove" are identical. The game has also been used to describe the mutual assured destruction of nuclear warfare, especially the sort of brinkmanship
Chicken_(game)
Military strategy during the Cold War with regard to the use of nuclear weapons
use of nuclear weapons. It is related to but distinct from the concept of mutual assured destruction, according to which a full-scale nuclear attack on a
Deterrence_theory
Awareness of facts, or competency
Knowledge is an awareness of facts, a familiarity with individuals and situations, or a practical skill. Knowledge of facts, also called propositional
Knowledge
Topics referred to by the same term
other negative emotions Grounding in communication, the collection of mutual knowledge, beliefs, and assumptions; "common ground" Ground (electricity), a
Grounding
Employees working from any location
communication technology in relation to the theories of grounding and mutual knowledge and discusses the costs and benefits of various communication technology
Remote_work
Model of humans as rational, self-interested agents
on a more specific meaning: a person who acted rationally on complete knowledge out of self-interest and the desire for wealth. The use of the Latin form
Homo_economicus
Pairing where no unchosen pair prefers each other over their choice
"A Stable Marriage Requires a Shared Residence with Low Contention and Mutual Complementarity" (PDF). 2025 34th International Conference on Parallel Architectures
Stable_matching_problem
Comedic work based on taboo subject matter
jokes are told, as outsiders may not react the way that those with mutual knowledge do. A 2017 study published in the journal Cognitive Processing concludes
Dark_humor
Facilitating a peaceful outcome to a dispute
and competition. The X-axis evaluates cooperativity, the extent by which mutual goals are achieved. The Y-axis evaluates assertiveness, how parties insist
Conflict_resolution
Mathematical game
rational, rationality to be common knowledge, and all players to expect everyone else to behave accordingly. Common knowledge means that every player has the
Guess_2/3_of_the_average
Hungarian and American mathematician and physicist (1903–1957)
cousins were instructed by governesses. Von Neumann's father believed that knowledge of languages other than their native Hungarian was essential, so the children
John_von_Neumann
1837 fairy tale by Hans Christian Andersen
Elephant in the room The Emperor's New Groove Groupthink Knowledge falsification Mutual knowledge (logic) Polite fiction Pluralistic ignorance Preference
The_Emperor's_New_Clothes
Philosophical study of knowledge
and limits of knowledge. Also called the theory of knowledge, it explores different types of knowledge, such as propositional knowledge about facts, practical
Epistemology
Diplomatic policy of concessions
France against Hitler’s revisionism, the Stresa Front. However a similar mutual defence pact with the Soviet Union by French foreign minister Louis Barthou
Appeasement
Simple mathematical game
would prefer to kill B, to get the same amount of gold from C.) With this knowledge, A can count on C and E's support for the following allocation, which
Pirate_game
Simultaneous game found in game theory
stable in situations in which all parties can realize mutual gains, but only by making mutually consistent decisions. In contrast, an obligation standard
Coordination_game
Situation where all parties are worse off
player has to accomplish two mutually dependent tasks each of which must be completed before the other or that are mutually exclusive (a Catch-22). Ignorance
No-win_situation
Notion in combinatorial game theory
P. P. L. M. (2001). "A Knowledge-Based Approach of the Game of Amazons" (PDF). Universiteit Maastricht, Institute for Knowledge and Agent Technology. R
Game_complexity
Quality of a strategy in game theory
to worst of various possible outcomes. Common Knowledge: The assumption that each player has knowledge of the game, knows the rules and payoffs associated
Strategic_dominance
equilibria: A Nash equilibrium is a set of strategies which represents mutual best responses to the other strategies. In other words, if every player
List_of_games_in_game_theory
Complete plan on how a game player will behave in every possible game situation
comprises a single move by each player—and each player's move is made without knowledge of the other's, not as a response—so each player has the finite strategy
Strategy_(game_theory)
Game theory scenario
theory, a win–win game or win–win scenario is a situation that produces a mutually beneficial outcome for two or more parties. It is also called a positive-sum
Win–win_game
Problem in process of sharing surplus
player 2, which they are guaranteed to receive if they cannot come to a mutual agreement. The problem is nontrivial if agreements in F {\displaystyle F}
Cooperative_bargaining
Game theory concept
perfect recall (each player remembers all their previous actions and knowledge throughout the game) has a subgame perfect equilibrium. A common method
Subgame_perfect_equilibrium
Knowledge: what is known, understood, proven; information and products of learning
Metaknowledge – knowledge about knowledge. Bibliographies are a form of metaknowledge. Patterns within scientific literature is another. Mutual knowledge – Information
Outline_of_knowledge
1980s policy of the Soviet Union promoting openness and freedom of information
"Restructuring") Uskoreniye (Gorbachev's "Acceleration") Common knowledge (logic) Mutual knowledge Pluralistic ignorance "Гласность" . Brockhaus and Efron Encyclopedic
Glasnost
Solution concept in game theory
In addition, it is presumed that all the players know this (see common knowledge). These assumptions are then used to explain why players choose Nash equilibrium
Evolutionarily stable strategy
Evolutionarily_stable_strategy
Proof all ranked voting rules have spoilers
of the discussion on the problem of social choice, it should be common knowledge that the General Impossibility Theorem holds because only the ordinal
Arrow's_impossibility_theorem
Neologism for cooperative competition
antecedents of coopetition, and its impact on knowledge sharing behaviors. For example, the concept of coopetitive knowledge sharing is developed to explain mechanisms
Coopetition
Theorem in game theory
about the probability of an event if their individual beliefs are common knowledge. In other words, if it is commonly known what each agent believes about
Aumann's_agreement_theorem
Game-theoretic concept
information at all. The form of the message does not matter, as long as there is mutual understanding, common interpretation. It could be a general statement from
Cheap_talk
Romanian-born American diplomat (1935–2026)
Chronology of Romanian–American Relations: From the Beginnings of Mutual Knowledge to the Collapse of the Communist Regime in Romania, 1989). His parents
Mircea_Răceanu
Cooperation between firms to limit competition
takes place within an industry when rival companies cooperate for their mutual benefit. Conspiracy usually involves an agreement between two or more sellers
Collusion
Game theory concept
information relevant to the game, meaning that the payoffs are not common knowledge. Bayesian games model the outcome of player interactions using aspects
Bayesian_game
Process of reasoning backwards in sequence
and so on, ad infinitum. In other words, rationality should be common knowledge. Limited backward induction is a deviation from fully rational backward
Backward_induction
Non-language factors that enhance understanding of communication
predictive and interpretative reactions. It can be said then that mutual knowledge, co-text, genre, speakers, hearers create a neurolinguistic composition
Context
Two-player extensive form game
prisoner's dilemma, this game presents a conflict between self-interest and mutual benefit. If it could be enforced, both players would prefer that they both
Centipede_game
Academic discipline
Alice and Bob each have an operator Q that allows for a payout equal to mutual cooperation with no risk of betrayal. This is a Nash equilibrium that also
Quantum_game_theory
Problem in game theory
Everyone must decide at the same time whether to go or not, with no knowledge of others' choices. Paradoxically, if everyone uses a deterministic pure
El_Farol_Bar_problem
Trigger strategy
Class of theorems about Nash equilibrium payoff profiles in repeated games Mutually assured destruction – Doctrine of military strategy Repeated game – Game
Grim_trigger
Problem of sharing resources
The case where they have complete knowledge of each other's valuations can be modeled by game theory. Partial knowledge is very hard to model. A major part
Fair_division
Awareness of facts
Declarative knowledge, also known as theoretical knowledge, descriptive knowledge, propositional knowledge, and knowledge-that, is an awareness of facts
Declarative_knowledge
Association football club in Chile
Exchequer in 1945. The chuncho was chosen for its association with wisdom, mutual knowledge, harmony of the body and soul. The team's logo is not usually found
Club_Universidad_de_Chile
Israeli-American mathematician (born 1930)
peacemaking can cause war, while an arms race, credible war threats and mutually assured destruction can reliably prevent war. Aumann is a member of Professors
Robert_Aumann
Level of information in economics and game theory
theory, complete information is an economic situation or game in which knowledge about other market participants or players is available to all participants
Complete_information
Measure of dependence between two variables
probability theory and information theory, the mutual information (MI) of two random variables is a measure of the mutual dependence between the two variables.
Mutual_information
Experimental economics game
increase their initial endowment. This leads to a deadlock in a state of mutual defection and economic stalemate. Janssen, M.; Ahn, T. K. (2003-09-27).
Public_goods_game
Game where groups of players may enforce cooperative behaviour
their preferences, resources, and constraints to identify opportunities for mutual gain. By sharing information, players can better understand each other's
Cooperative_game_theory
Son of God in Christianity
divine knowledge, stating: "No one knows the Son except the Father and no one knows the Father except the Son", asserting the mutual knowledge he has
Jesus_in_Christianity
American economist (born 1939)
cost of receiving nothing. In these societies, "individuals engaging in mutually beneficial exchanges with strangers represent models of successful behavior
Samuel_Bowles_(economist)
Image luminance mapping function
encoding and correction methods can be arbitrarily superimposed, without mutual knowledge of this fact among the different elements; if done incorrectly, these
Gamma_correction
Class of games where players choose their actions sequentially
distinguishes sequential games from simultaneous games, where players act without knowledge of others’ choices and outcomes are depicted in payoff matrices (e.g.
Sequential_game
Verse of the New Testament
whom He begot of His substance." Hilary of Poitiers: "And also in the mutual knowledge between the Father and the Son, He teaches us that there is nothing
Matthew_11:27
Type of modal logic
agent in group G knows" (mutual knowledge); C G {\displaystyle {\mathit {C}}_{\mathit {G}}} , which reads "it is common knowledge to every agent in G"; and
Epistemic_modal_logic
Application of game theory to evolving populations in biology
social insects, the altruistic behaviour in parent-offspring interactions, mutual protection behaviours, and co-operative care of offspring. For such games
Evolutionary_game_theory
American radio broadcasting network (1934–1999)
The Mutual Broadcasting System (commonly referred to simply as Mutual; sometimes referred to as MBS, Mutual Radio or the Mutual Radio Network) was an
Mutual_Broadcasting_System
Title given to God in various religions
Father and no one knows the Father except the Son", asserting the mutual knowledge of Father and Son. The concept of fatherhood of God does appear in
God_the_Father
Inability to differentiate between self and others
Brauner, J. S. (2000). "Taking perspective in conversation: The role of mutual knowledge in comprehension". Psychological Science. 11 (1): 32–38. doi:10.1111/1467-9280
Egocentrism
Asset recovery network in the EU
Recovery Interagency Network), a global network aimed at enhancing mutual knowledge about methods and techniques for cross-border identification, freezing
EU_Asset_Recovery_Offices
Iterated game for peace and conflict studies
be spent to wage war. In this case, there exists a Nash equilibrium, a mutually best response for a single iteration, here (War, War), by definition heedless
Peace_war_game
Chimbu language spoken in Papua New Guinea
MUT 'Your head will be burnt and explode (as a matter of course)' mutual knowledge marker mol-me stay-1SG.IND =krae =MUT mol-me =krae stay-1SG.IND =MUT
Dom_language
Policyholder-owned risk compensation company
including data, knowledge, software and content that is collectively created, managed and governed by a community. [relevant?] The mutual insurance environment
Mutual_insurance
Academic discipline; examines how goal-driven social entities add and create knowledge
5465/amj.2006.22083029. S2CID 144849651. Cramton, C. D. (2001). "The mutual knowledge problem and its consequences for dispersed collaboration". Organ Sci
Organizational_learning
Israeli economist
where players have "almost common knowledge," can differ significantly from a game with actual Common Knowledge (CK). This paradoxical idea has been
Ariel_Rubinstein
Incomplete-information coordination game
game theory, the electronic mail game is an example of an "almost common knowledge" incomplete information game. It illustrates the apparently paradoxical
Electronic_mail_game
Polish-American mathematician (1911-1992)
2023-12-23 Hounshell, David (1997). "The Cold War, RAND, and the Generation of Knowledge, 1946-1962". Historical Studies in the Physical and Biological Sciences
Melvin_Dresher
Team whose members collaborate remotely
appropriate such knowledge. Such lack of mutual knowledge of each other's situations increases coordination problems in acquiring knowledge and resources
Virtual_team
Areas of influence by ancient Greece and Rome
literary borrowings and influences are overwhelming proofs of a mantle of mutual knowledge. For example, several hundred papyrus volumes found in a Roman villa
Greco-Roman_world
Rapid mobilisation force in the Norwegian military
with the civil community through a civil-military network based on mutual knowledge and trust. The local commanders are responsible for fostering cooperation
Norwegian_Home_Guard
Holocaust denial, and embark on a Jewish-Muslim dialogue based on mutual knowledge and mutual respect. The conference was opened by UNESCO Director General
Project_Aladdin
Moroccan politician (born 1941)
one of the founders of the Aladin Group (Paris) created to promote mutual knowledge and intercultural relations among Muslims and Jews. In August 2005
André_Azoulay
Approach to generating value
knowledge economy, or knowledge-based economy, is an economic system in which the production of goods and services is primarily driven by knowledge-intensive
Knowledge_economy
Two-person zero-sum game
restricted. It is assumed that neither the searcher nor the hider has any knowledge about the movement of the other player until their distance apart is less
Search_game
Christian conception of God
Father and no one knows the Father except the Son", asserting the mutual knowledge of Father and Son. The concept of fatherhood of God does appear in
God_in_Christianity
North American variant of Freemasonry
interaction, mutual knowledge, over 50 members creates subgrouping and can become counterproductive. Mutual aid and support The principal of mutual aid and
Observant_Freemasonry
Game class in game theory
static game is a game where each player chooses their action without knowledge of the actions chosen by other players. Simultaneous games contrast with
Simultaneous_game
Solution concept capturing altruism in game theory
player. The cooperative nature of the Berge equilibrium therefore avoids the mutual defection problem that has made the prisoner's dilemma a notorious example
Berge_equilibrium
Film festival
specialized on Euro-Mediterranean movie productions, aiming to encourage mutual knowledge and inter-cultural dialogue between the two shores of the Mediterranean
MedFilm_Festival
Extension of the prisoner's dilemma
shown below: If both players cooperate, they both receive the reward R for mutual cooperation. If both players defect, they both receive the punishment payoff
Optional_prisoner's_dilemma
Game with a dominant mutually most beneficial action
the action that is mutually most beneficial is also dominant. This provides a contrast to the Prisoner's Dilemma where the mutually most beneficial action
Deadlock_(game_theory)
American radio and television program
Kyser's Kollege of Musical Knowledge is an American old-time radio musical quiz program starring Kay Kyser. It was broadcast on Mutual, NBC, and ABC beginning
Kay Kyser's Kollege of Musical Knowledge
Kay_Kyser's_Kollege_of_Musical_Knowledge
structure. The key feature of an uncorrelated asymmetry lies in players' knowledge of their assigned roles. In a symmetric game, if players know whether
Uncorrelated_asymmetry
1989–1990 process disestablishing East Germany
portal East Germany portal Germany portal Civil unrest Common knowledge (logic) Mutual knowledge Pluralistic ignorance Stag hunt "Tear down this wall!" Applications
Peaceful_Revolution
generally sufficient when players can jointly deviate in a way that is mutually beneficial. The Strong Nash equilibrium is criticized as too "strong" in
Coalition-proof Nash equilibrium
Coalition-proof_Nash_equilibrium
Umberto Eco, Editions Bompiani, Milan, 1992 In English : Strategy for a mutual Knowledge Presses, Actes du Colloque Transcultura, University of Chicago Press
Alain_le_Pichon
Argument in economics
In economics, the local knowledge problem is the argument that the information required for rational economic planning is distributed among individual
Local_knowledge_problem
Mathematical construct in game theory
asymmetric information and uncertainty, and in exploring notions like common knowledge, as formalized by Robert Aumann, and induction puzzles involving recursive
Hierarchy_of_beliefs
MUTUAL KNOWLEDGE
MUTUAL KNOWLEDGE
Boy/Male
Indian
Messenger, Prophet, Ambassador
Boy/Male
Muslim
Servant of the most high
Boy/Male
Arabic, Muslim
Absolute; Unlimited
Boy/Male
Sikh
Friendly, Friendship, Sweet
Girl/Female
Arabic, Muslim
Harmony; Mutual Affection
Boy/Male
Indian, Tamil
Like a Pearl
Boy/Male
Hindu, Indian, Punjabi, Sanskrit, Sikh
Bud
Boy/Male
Arabic, Muslim
Exalted; Supreme
Boy/Male
Hindu
King of gujarat
Boy/Male
Greek Latin
Mutual love.
Male
Hindi/Indian
(মà§à¦•à§à¦²) Hindi name MUKUL means "blossom, bud."
Boy/Male
Hindu
Lord Murugan
Boy/Male
Gujarati, Indian, Jain
King of Water
Boy/Male
Muslim
Messenger, Prophet, Ambassador
Boy/Male
Australian, Chinese, Vietnamese
Mulberry; Bright; Noble; Mutual
Boy/Male
Muslim/Islamic
Servant of the Most High
Boy/Male
Arabic, Muslim, Sindhi
Messenger; Ambassador; Prophet
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
A Saint
Girl/Female
Gujarati, Hindu, Indian, Tamil
Friendly
Boy/Male
Arabic, Muslim
Servant of the Most High
MUTUAL KNOWLEDGE
MUTUAL KNOWLEDGE
Girl/Female
Arabic, Muslim
An Indian Queen had this Name
Boy/Male
Hindu, Indian
Lord of Beauty
Girl/Female
Hindu
Speech
Female
Japanese
(ç…§å) Japanese name TERUKO means "shining child."
Boy/Male
British, English
Long Meadow
Boy/Male
Arabic, Muslim
Lion-heart
Girl/Female
Indian, Modern
Angel
Girl/Female
Tamil
Symbol of protection, Full Moon in the Sravan month
Male
Babylonian
, my uncle is righteous.
Boy/Male
Persian Hindi
Lucky.
MUTUAL KNOWLEDGE
MUTUAL KNOWLEDGE
MUTUAL KNOWLEDGE
MUTUAL KNOWLEDGE
MUTUAL KNOWLEDGE
n.
Mutial accommodation; mutual giving.
v. i.
To have reciprocal or mutual relations; to be mutually related.
a.
Reciprocally acting or related; reciprocally receiving and giving; reciprocally given and received; reciprocal; interchanged; as, a mutual love, advantage, assistance, aversion, etc.
n.
Hence, the code of ceremonies observed by an organization; as, the ritual of the freemasons.
v. t.
To cover with metal; as, to metal a ship's bottom; to metal a road.
a.
Existing in act or reality; really acted or acting; in fact; real; -- opposed to potential, possible, virtual, speculative, conceivable, theoretical, or nominal; as, the actual cost of goods; the actual case under discussion.
n.
Ore from which a metal is derived; -- so called by miners.
adv.
In a mutual manner.
n.
A prescribed form of performing divine service in a particular church or communion; as, the Jewish ritual.
a.
Mutual.
v. i.
To communicate mutually; to hold mutual communication.
a.
Taking place at a suture; as, a sutural de/iscence.
a.
Involving, or accompanied by, mutual slaughter; mutually destructive.
a.
Pertaining to a miter; resembling a miter; as, the mitral valve between the left auricle and left ventricle of the heart.
a.
Resembling a wall; perpendicular or steep; as, a mural precipice.
a.
Of or pertaining to rites or ritual; as, ritual service or sacrifices; the ritual law.
a.
Of or pertaining to the hand; done or made by the hand; as, manual labor; the king's sign manual.
a.
A prescribed exercise in the systematic handing of a weapon; as, the manual of arms; the manual of the sword; the manual of the piece (cannon, mortar, etc.).
a.
Possessed, experienced, or done by two or more persons or things at the same time; common; joint; as, mutual happiness; a mutual effort.
a.
In action at the time being; now exiting; present; as the actual situation of the country.