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Chainstore Paradox
The chain store paradox is a game theory problem that challenges conventional rational choice assumptions about strategic behavior in sequential games. It describes a scenario where an incumbent chain store faces sequential entry threats from multiple potential competitors in different markets. The paradox emerges from the conflict between two compelling strategies: the logically sound approach of backward induction prescribed by classical game theory, and the intuitively appealing "deterrence strategy" that involves building a reputation for aggressive behavior to discourage future market entry. While standard equilibrium analysis suggests the chain store should accommodate all entrants, real-world business behavior often follows the deterrence approach, creating an apparent contradiction between game-theoretic predictions and observed strategic decisions. This paradox has implications for behavioral economics, industrial organization, and the study of credible threats in strate ...
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Game Theory
Game theory is the study of mathematical models of strategic interactions. It has applications in many fields of social science, and is used extensively in economics, logic, systems science and computer science. Initially, game theory addressed two-person zero-sum games, in which a participant's gains or losses are exactly balanced by the losses and gains of the other participant. In the 1950s, it was extended to the study of non zero-sum games, and was eventually applied to a wide range of Human behavior, behavioral relations. It is now an umbrella term for the science of rational Decision-making, decision making in humans, animals, and computers. Modern game theory began with the idea of mixed-strategy equilibria in two-person zero-sum games and its proof by John von Neumann. Von Neumann's original proof used the Brouwer fixed-point theorem on continuous mappings into compact convex sets, which became a standard method in game theory and mathematical economics. His paper was f ...
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Monopolist
A monopoly (from Greek and ) is a market in which one person or company is the only supplier of a particular good or service. A monopoly is characterized by a lack of economic competition to produce a particular thing, a lack of viable substitute goods, and the possibility of a high monopoly price well above the seller's marginal cost that leads to a high monopoly profit. The verb ''monopolise'' or ''monopolize'' refers to the ''process'' by which a company gains the ability to raise prices or exclude competitors. In economics, a monopoly is a single seller. In law, a monopoly is a business entity that has significant market power, that is, the power to charge overly high prices, which is associated with unfair price raises. Although monopolies may be big businesses, size is not a characteristic of a monopoly. A small business may still have the power to raise prices in a small industry (or market). A monopoly may also have monopsony control of a sector of a market. A ...
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Theory And Decision
Theory and Decision is a peer-reviewed multidisciplinary journal of decision science published quarterly by Springer Science+Business Media. It was first published in 1970. The current editor-in-chief is Mohammed Abdellaoui. The journal publishes research in fields such as economics, game theory, management science, and artificial intelligence Artificial intelligence (AI) is the capability of computer, computational systems to perform tasks typically associated with human intelligence, such as learning, reasoning, problem-solving, perception, and decision-making. It is a field of re .... References External linksOfficial Website Economics journals Academic journals established in 1970 Springer Science+Business Media academic journals Logic journals {{management-journal-stub ...
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Unexpected Hanging Paradox
The unexpected hanging paradox or surprise test paradox is a paradox about a person's expectations about the timing of a future event which they are told will occur at an unexpected time. The paradox is variously applied to a prisoner's hanging or a surprise school test. It was first introduced to the public in Martin Gardner's Martin Gardner#Mathematical Games column, March 1963 Mathematical Games column in ''Scientific American'' magazine. There is no consensus on its precise nature and consequently a canonical resolution has not been agreed on. Logical analyses focus on "truth values", for example by identifying it as paradox of self-reference. Epistemological studies of the paradox instead focus on issues relating to ''knowledge''; for example, one interpretation reduces it to Moore's paradox. Some regard it as a "significant problem" for philosophy. Description The paradox has been described as follows: Other versions of the paradox replace the death sentence with a surp ...
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Traveler's Dilemma
In game theory, the traveler's dilemma (sometimes abbreviated TD) is a non-zero-sum game in which each player proposes a payoff. The lower of the two proposals wins; the lowball player receives the lowball payoff plus a small bonus, and the highball player receives the same lowball payoff, minus a small penalty. Surprisingly, the Nash equilibrium is for both players to aggressively lowball. The traveler's dilemma is notable in that naive play appears to outperform the Nash equilibrium; this apparent paradox also appears in the centipede game and the finitely-iterated prisoner's dilemma. Formulation The original game scenario was formulated in 1994 by Kaushik Basu and goes as follows: "An airline loses two suitcases belonging to two different travelers. Both suitcases happen to be identical and contain identical antiques. An airline manager tasked to settle the claims of both travelers explains that the airline is liable for a maximum of $100 per suitcase—he is unable to find o ...
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Repeated Game
In game theory, a repeated game (or iterated game) is an extensive form game that consists of a number of repetitions of some base game (called a stage game). The stage game is usually one of the well-studied 2-person games. Repeated games capture the idea that a player will have to take into account the impact of their current action on the future actions of other players; this impact is sometimes called their reputation. Single stage game or single shot game are names for non-repeated games. Example Consider two gas stations that are adjacent to one another. They compete by publicly posting pricing, and have the same and constant marginal cost ''c'' (the wholesale price of gasoline). Assume that when they both charge , their joint profit is maximized, resulting in a high profit for everyone. Despite the fact that this is the best outcome for them, they are motivated to deviate. By modestly lowering the price, either can steal all of their competitors' customers, nearly doub ...
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Complete Information
In economics and game theory, complete information is an economic situation or game in which knowledge about other market participants or players is available to all participants. The utility functions (including risk aversion), payoffs, strategies and "types" of players are thus common knowledge. Complete information is the concept that each player in the game is aware of the sequence, strategies, and payoffs throughout gameplay. Given this information, the players have the ability to plan accordingly based on the information to maximize their own strategies and utility at the end of the game. A typical example is the prisoner's dilemma. Inversely, in a game with incomplete information, players do not possess full information about their opponents. Some players possess private information, a fact that the others should take into account when forming expectations about how those players will behave. A typical example is an auction: each player knows their own utility function (valua ...
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Irrational
Irrationality is cognition, thinking, talking, or acting without rationality. Irrationality often has a negative connotation, as thinking and actions that are less useful or more illogical than other more rational alternatives. The concept of irrationality is especially important in Albert Ellis's rational emotive behavior therapy, where it is characterized specifically as the tendency and leaning that humans have to act, emote and think in ways that are inflexible, unrealistic, absolutist and most importantly self-defeating and socially defeating and destructive. However, irrationality is not always viewed as a negative. Much subject matter in literature can be seen as an expression of human longing for the irrational. The Romantics valued irrationality over what they perceived as the sterile, calculating and emotionless philosophy which they thought to have been brought about by the Age of Enlightenment and the Industrial Revolution. Dada Surrealist art movements embrac ...
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Paradox
A paradox is a logically self-contradictory statement or a statement that runs contrary to one's expectation. It is a statement that, despite apparently valid reasoning from true or apparently true premises, leads to a seemingly self-contradictory or a logically unacceptable conclusion. A paradox usually involves contradictory-yet-interrelated elements that exist simultaneously and persist over time. They result in "persistent contradiction between interdependent elements" leading to a lasting "unity of opposites". In logic, many paradoxes exist that are known to be invalid arguments, yet are nevertheless valuable in promoting critical thinking, while other paradoxes have revealed errors in definitions that were assumed to be rigorous, and have caused axioms of mathematics and logic to be re-examined. One example is Russell's paradox, which questions whether a "list of all lists that do not contain themselves" would include itself and showed that attempts to found set theory on ...
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Non-credible Threat
A non-credible threat is a term used in game theory and economics to describe a threat in a sequential game that a ''rational'' player would not actually carry out, because it would not be in his best interest to do so. A threat, and its counterparta commitment, are both defined by American economist and Nobel prize winner, T.C. Schelling, who stated that: "A announces that B's behaviour will lead to a response from A. If this response is a reward, then the announcement is a commitment; if this response is a penalty, then the announcement is a threat." While a player might make a threat, it is only deemed credible if it serves the best interest of the player.Heifetz, A., & Yalon-Fortus, J. (2012). Game Theory: Interactive Strategies in Economics and Management. Cambridge University Press. ProQuest Ebook Central In other words, the player would be willing to carry through with the action that is being threatened regardless of the choice of the other player. This is based on the as ...
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Subgame Perfect Equilibrium
In game theory, a subgame perfect equilibrium (SPE), or subgame perfect Nash equilibrium (SPNE), is a refinement of the Nash equilibrium concept, specifically designed for dynamic games where players make sequential decisions. A strategy profile is an SPE if it represents a Nash equilibrium in every possible subgame of the original game. Informally, this means that at any point in the game, the players' behavior from that point onward should represent a Nash equilibrium of the continuation game (i.e. of the subgame), no matter what happened before. This ensures that strategies are credible and rational throughout the entire game, eliminating non-credible threats. Every finite extensive game with complete information (all players know the complete state of the game) and perfect recall (each player remembers all their previous actions and knowledge throughout the game) has a subgame perfect equilibrium. A common method for finding SPE in finite games is backward induction, wher ...
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Reinhard Selten
Reinhard Justus Reginald Selten (; 5 October 1930 – 23 August 2016) was a German economics, economist, who won the 1994 Nobel Memorial Prize in Economic Sciences (shared with John Harsanyi and John Forbes Nash, John Nash). He is also well known for his work in bounded rationality and can be considered one of the founding fathers of experimental economics. Biography Selten was born in Wrocław, Breslau (Wrocław) in Province of Lower Silesia, Lower Silesia, now in Poland, to a Jewish father, Adolf Selten (a blind bookseller; d. 1942Roberts, Sam"Reinhard Selten, Whose Strides in Game Theory Led to a Nobel, Dies at 85" New York ''Times'', September 2, 2016. Retrieved 2016-09-03.), and Protestant mother, Käthe Luther.O'Connor, J J, and E F Robertson"Reinhard Selten" ''www-history.mcs.st-and.ac.uk'', November 2010. Retrieved 2016-09-03. Reinhard Selten was raised as Protestant. After a brief family exile in Saxony and Austria, Selten returned to Hesse, Germany, after the wa ...
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