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Generalization of the normal-form game
In game theory, a concave game is a generalization of the normal-form game defined by Rosen. He extended the theorem on existence of a Nash equilibrium
Concave_game
Situation where total gains match total losses
zero-sum games in which the payoff function may be non-linear (as in a concave game). They presented gradient methods for computing the value of such games
Zero-sum_game
Disproven hypothesis
been called the "concave" Hollow Earth hypothesis or skycentrism. Cyrus Teed, a doctor from upstate New York, proposed such a concave Hollow Earth in 1869
Hollow_Earth
Concept in game design
Game balance is a branch of game design with the intention of improving gameplay and user experience by balancing difficulty and fairness. Game balance
Game_balance
2013 video game
revisit old curtains with new heads to complete it. The story occurs in a concave world representing Earth's Moon, inhabited by pseudo-folkloric characters:
Puppeteer_(video_game)
convex-concave if it is a convex function of x for any fixed y, and a concave function of y for any fixed x. When f is continuous and convex-concave, and
Min-max_optimization
Gives conditions that guarantee the max–min inequality holds with equality
convex, and to functions that are concave in their first argument and convex in their second argument (known as concave-convex functions). Formally, let
Minimax_theorem
1991 video game
Steve Zuloff and Barry Benjamin. The Micro-theater is composed of a big concave mirror that lies underneath the stage. This holographic mirror-like optical
Time_Traveler_(video_game)
three-dimensional map of the series' fictional world, projected onto a concave earth, and lit by a small sun contained within an armilla (or spherical
Game of Thrones title sequence
Game_of_Thrones_title_sequence
1991 video game
Winning Run and Solvalou, made development of the game an easy task. The arcade cabinet featured a concave mirror to give off a sense of depth. The arcade
Starblade_(1991_game)
Primary game controller for the Xbox 360
inspired by the game' were sold with the Halo 4 Limited Edition console bundle; two were included. These feature a transforming D-pad, concave analog stick
Xbox_360_controller
Solution concept of a non-cooperative game
continuous in all strategies and a concave function of the player's own strategy, then a GNE exists; see concave games. Nash considered games with finitely
Nash_equilibrium
Game class in game theory
compact, (e) the potential is a strictly concave function, then the correlated equilibrium is unique. Congestion game Econophysics A characterization of ordinal
Potential_game
Board game
the game is to have the last standing spinning top. The game takes place on a circular concave arena with four spinning top launch positions. Players wind
Battling_Tops
Dexterity game of ancient origins
pair being concave and one convex.The convex narrow side, called chios or "the dog", was counted as 1, the convex broad side as 3, the concave broad side
Knucklebones
Economical computational problem
computing an equilibrium in a concave game is PPAD-complete. In fact, they prove that the problem is in PPAD even for general concave games, and it is PPAD-hard
Nash_equilibrium_computation
Resort in Las Vegas, Nevada
discovered in 2008, when it was learned that the hotel's reflective surface and concave design can act as a parabolic reflector that creates conditions of extremely
Vdara
Game theory concept
In game theory, an aggregative game (AG), sometimes called a summarization game, is a game in which every player's payoff is a function of the player's
Aggregative_game
Type of resource allocation game
{\displaystyle U_{i}(x)} is increasing and concave; U ( x ) {\displaystyle U(x)} is continuous. The game arises from trying to find a price p {\displaystyle
Bandwidth-sharing_game
Mathematical function with convex lower level sets
the Gaussian distribution are common examples of quasi-concave functions that are not concave. A function that is both quasiconvex and quasiconcave is
Quasiconvex_function
Paradox involving a game with repeated coin flipping
function. Intuitively, the utility function must not simply be concave, but it must be concave relative to the probability weighting function to avoid the
St._Petersburg_paradox
Team sport played on ice
down to the ring, with the inside of the ring hollowed concave to clear the ice. This concave bottom was first proposed by J. S. Russell of Toronto, Ontario
Curling
Home video game console
to match the redesigned console; the X and Y buttons are lavender with concave faces, and the A and B buttons are purple with convex faces. Several later
Super Nintendo Entertainment System
Super_Nintendo_Entertainment_System
Abstract three-dimensional board game
feature a concave hemisphere, while pyramids have been replaced by a convex hemisphere. Like the original edition, Sceptres only fit into the concave faces
Axiom_(game)
2002 video game
addition to the typical game present in the first. It has ten lanes that feature non-linear paths, such as zig-zag and concave, and moving parts. The monkeys
Super_Monkey_Ball_2
Game of pushing pucks down a wooden table
intended to be kept flat, but any given table may have its own slight concave or convex condition, adding an extra challenge. In order to decrease friction
Table_shuffleboard
Trophy for the winning team of the Super Bowl
the Vince Lombardi Trophy: a football in a kicking position on a three concave sided stand. The original trophy was produced by Tiffany & Co. in Newark
Vince_Lombardi_Trophy
200 (nóosh [dead salmon, after spawning]), 325 (-yík [inside a shallow concave landform: basin]). Retrieved 2015-09-14.. Mulvihill (2000). White Pass
List of White Pass and Yukon Route locomotives and cars
List_of_White_Pass_and_Yukon_Route_locomotives_and_cars
Rodent with a coat of sharp spines
such as the bristly mouse and short-tailed spiny rat, in that they have a concave cross-section and are shorter and softer, making them break off closer
Porcupine
Early photographic technique
photographic apparatus, was Alexander S. Wolcott's camera, which used a concave mirror instead of a lens and operated on the principle of the reflecting
Daguerreotype
x\in E} , the function y ↦ f ( x , y ) {\displaystyle y\mapsto f(x,y)} is concave. Then there exists e ∈ E {\displaystyle e\in E} such that: sup y ∈ E f
Ky Fan inequality (game theory)
Ky_Fan_inequality_(game_theory)
Species of mammal
of the genus Canis in several aspects: its skull is convex rather than concave in profile, it lacks a third lower molar, and the upper molars possess
Dhole
Species of mammal
with humans, having been the ancestor of most domestic pig breeds and a big-game animal for millennia. Boars have also re-hybridized in recent decades with
Wild_boar
Symbols for emotional cues in text
there should exist a special typographical sign for a smile — some sort of concave mark, a supine round bracket." It did not become a mainstream concept until
Emoji
Field of economics and game theory
cost-sharing games with concave cost functions, the optimal cost-sharing rule that firstly optimizes the worst-case inefficiencies in a game (the price of anarchy)
Mechanism_design
Set-to-real map with diminishing returns
similar to convex and concave functions. For this reason, an optimization problem which concerns optimizing a convex or concave function can also be described
Submodular_set_function
predecessor. It is slightly slimmer in every dimension and is slightly concave, while the original Xbox was noticeably convex. It comes as standard in
Xbox 360 technical specifications
Xbox_360_technical_specifications
Rounding of an interior or exterior corner
on a corner. Fillet geometry, when on an interior corner is a line of concave function, whereas a fillet on an exterior corner is a line of convex function
Fillet_(mechanics)
Electronic display with a concave viewing surface
display device that, contrasting with the flat-panel display, features a concave viewing surface. Curved screen TVs were introduced to the consumer market
Curved_screen
1992 video game
talismans of Truth, Love and Courage, by passing their respective tests. The concave and convex lenses from Ultima VI are also required to complete the quest
Ultima_VII:_The_Black_Gate
Japanese luxury vehicle brand owned by Toyota
including a fastback profile, lower-set grille, and the use of both convex and concave surfaces, are derived from Japanese cultural motifs (e.g. the phrase kirikaeshi
Lexus
(4-way) or a "disc" (8-way) D-pad. These controllers also feature different concave analog stick tops than standard controllers. On a few occasions, Microsoft
List of Xbox 360 retail configurations
List_of_Xbox_360_retail_configurations
Target game played by ancient Greeks and Etruscans
The plastinx (small saucer) had a hole near the edge and was slightly concave in the middle. About two-thirds of the way down, the rhabdus was encircled
Kottabos
Element representing a value on a grid in three dimensional space
represent overhangs, caves, arches, and other 3D terrain features. These concave features cannot be represented in a heightmap due to only the top 'layer'
Voxel
Sculpture by Anish Kapoor in Chicago
arch. On the underside is the "omphalos" (from Greek ὀμφαλός 'navel'), a concave chamber that warps and multiplies reflections. The sculpture builds upon
Cloud_Gate
Stadium in Houston, Texas, US
at a concave angle to provide better sightlines. It is still recognized in many circles as the best stadium in Texas for watching a football game. Entrances
Rice Stadium (Rice University)
Rice_Stadium_(Rice_University)
2012 book by Nassim Nicholas Taleb
the designation "disorder cluster"). Likewise, fragility is defined as a concave sensitivity to stressors, leading to a negative sensitivity to an increase
Antifragile_(book)
Fictional technology
called a hypnobong in use on the street, witnessing a passerby lean into a concave basin and then lift his face "with a shudder ... staggering slightly, his
List of technology in the Dune universe
List_of_technology_in_the_Dune_universe
1998 film by Alex Proyas
with one another at the end". The round window of Murdoch's hotel room is concave, like a fishbowl and is a frequently seen element throughout the city.
Dark_City_(1998_film)
Species of fish
lips. In younger fish the caudal fin and as the fish matures it becomes concave with elongated outer rays forming filaments. It can reach 25 cm (9.8 in)
Ornate_wrasse
Type of all-purpose bullet
conical section to make the sides concave, to reduce the bullet mass, or convex, to increase it. B shows a concave sided SWC, typical of a lightweight
Semiwadcutter
Tabletop dexterity game
or button soccer is an association football simulation game played on a tabletop, using concave buttons or special-made disks to represent players on the
Button_football
Family of clawed marine crustaceans
contrast, most complex eyes use refractive ray concentrators (lenses) and a concave retina. The lobster's thorax is composed of maxillipeds, appendages that
Lobster
Genus of Late Cretaceous dinosaur
to 23 cm (9.1 in) long. It was uniquely up-curved at the snout region, concave on the upper surface, and convex on the lower surface. The snout, which
Velociraptor
System property
the designation "disorder cluster"). Likewise fragility is defined as a concave sensitivity to stressors, leading to a negative sensitivity to increase
Antifragility
Branch of mathematics
Geodesic Length Two-dimensional Surface Plane Area Polygon Simple Convex Concave Star Regular Reuleaux Triangle Centers Altitude Hypotenuse Pythagorean
Geometry
Species of fish
spots on their backs. In adolescents, the first dorsal fin is large and concave, gradually reducing in proportion to body size with continued growth. Males
Atlantic_blue_marlin
Game theory concept
of the other player. Assume Π {\displaystyle \,\Pi } is increasing and concave in the player's own strategy x i {\displaystyle \,x_{i}} . Under these
Strategic_complements
Subspecies of a rodent
juveniles and darkening to orange and nearly brown with age. The posterior, concave surface of the incisors is made up of brittle dentin. The incisor's occlusal
Tatra_marmot
Index of roles in the science fiction franchise
Toreth's rank insignia consisted of one silver arrowhead and two silver concave crescents. "T'Pau - Biography, Albums, Streaming Links - AllMusic". AllMusic
List of Star Trek characters (T–Z)
List_of_Star_Trek_characters_(T–Z)
spanned by the duals of the unanimity games, therefore every irrigation game is concave. Márkus et al. 2011 also extended the Shapley and Young axiomatizations
Irrigation_game
Line of gamepads developed by Sony
with convex domed caps rather than the smooth plastic tips with recessed (concave) grooves found on the Dual Analog controller. Other visible differences
DualShock
Eyewear that inverts the wearer's view
mirrored. They are constructed using sets of optical right-angle prisms, concave mirrors, or a mirror plus right-angle prisms with unequal cathethus. Upside
Upside_down_goggles
Species of deer
weight and serve as shovels when digging for food under snow. These large concave hooves offer stable support on wet, soggy ground and on crusty snow. The
Reindeer
Primary game controller for the Xbox platform
directional pad designs (either the traditional four-way design, or a concave disc-like design), and "hair trigger locks" for the triggers that allow
Xbox_Wireless_Controller
Order of amphibians
Frogs, an Ancient Greek comic drama by Aristophanes. The calls of the Concave-eared torrent frog (Amolops tormotus) are unusual in many aspects. The
Frog
Species of canine native to North America
twelve sometimes more and burrow near some pass or place much frequented by game; not being able alone to take deer or goat they are rarely ever found alone
Coyote
Prehistoric period before metal tools
credit for the innovation. A Mode 2 tool is a biface consisting of two concave surfaces intersecting to form a cutting edge all the way around, except
Stone_Age
Form of political manipulation
districts (something isoperimetric rules would discourage); and it allows concave coastline districts, such as the Florida gulf coast area. It would mostly
Gerrymandering
Optical device that projects an image or moving images onto a surface
phantasmagoria shows to project moving images of ghosts. Camera obscura Concave mirror Opaque projector Overhead projector Document camera Shadow projector
Projector
Species of bear
be distinguished by their shoulder hump, larger size and broader, more concave skull.[page needed] In his book The Great Bear Almanac, Gary Brown summarized
American_black_bear
Professional sports hall of fame in New York, U.S.
2011. The coins, which depict baseball gloves and balls, are the first concave designs produced by the Mint. The mintage included 50,000 gold coins, 400
National Baseball Hall of Fame and Museum
National_Baseball_Hall_of_Fame_and_Museum
Association football club in Turin, Italy
section of the emblem had a blue colour (another symbol of Turin) and it was concave in shape. The old French shield and the mural crown, also in the lower
Juventus_FC
Indigenous people of North America
"second stopping place" was in the vicinity of the Wayaanag-gakaabikaa (Concave Waterfalls, i.e., Niagara Falls). At their "third stopping place", near
Ojibwe
Genus of carcharodontosaurid dinosaurs
position cervical, was opisthocoelous (convex anterior ends of central, concave posterior ends) as in carcharodontosaurines. The ratio of transversal width
Tameryraptor
Computer output device
often using nominally flat-panel display technology such as LCD or OLED, a concave rather than convex curve is imparted, reducing geometric distortion, especially
Computer_monitor
Infinitely detailed mathematical structure
Architecture Classification of histopathology slides Computer and video game design Computer graphics Creation of digital photographic enlargements Detecting
Fractal
Transparent display presenting data within normal sight lines of the user
unit in a typical HUD is an optical collimator setup: a convex lens or concave mirror with a cathode-ray tube, light emitting diode display, or liquid
Head-up_display
Extinct genus of proboscideans
blade) of Mammut has a straight vertebral border, contrasting with a more concave vertebral border of Mammuthus. Hodgson et al. disagreed with the claim
Mastodon
August 2024 concert residency by Adele
ROE Visual. These ROE Visual Carbon 5 MarkII panels were configured in a concave and convex manner. The Carbon 5's contextually beneficial features were
Adele_in_Munich
Home video game console by Sony
refinements. Among other tweaks, the caps of the analog sticks were given a concave design (similar to the Xbox 360 controller), the shape of the triggers
PlayStation_4
7th episode of the 3rd season of The Simpsons
decided to make the animation a bit more impressive, and decided to do the concave and convex images of Burns and Smithers. Even though it was tough and took
Treehouse_of_Horror_II
Catalan solid with 60 faces
has three symmetry positions, two on vertices, and one on a midedge: A concave pentakis dodecahedron replaces the pentagonal faces of a dodecahedron with
Pentakis_dodecahedron
Cooking appliance
maker, or panini grill, is a cooking appliance that consists of two hinged concave, round or square, cast iron or aluminium plates on long handles. Its "clamshell"
Pie_iron
Bird species
The great hornbill (Buceros bicornis), also known as the concave-casqued hornbill, great Indian hornbill or great pied hornbill, is one of the larger
Great_hornbill
and rightward arrow U+27A7 ➧ Squat black rightward arrow U+27A8 ➨ Heavy concave-pointed black rightward arrow U+27A9 ➩ Right-shaded white rightward arrow
List_of_Unicode_characters
Area of mathematics
choose the appropriate discretization suited to your purpose (the so-called "game" of DDG). Integrable discretization is a systematic discretization based
Discrete differential geometry
Discrete_differential_geometry
Genus of fishes
dorsal fins, a lateral line that extends onto the tail, and frequently, a concave shape to the head. They range from 35 to 120 cm (14 to 47 in) in length
Centropomus
American professional surfer (born 1971)
the Channel Islands Dagger; a surfboard with an abnormally deep double concave and downturned rail. Taylor Knox is known for his ferocious frontside hacks
Taylor_Knox
Fretted string instrument
Guitar Construction, that truss rods are intended primarily to remedy concave bowing of the neck, but cannot correct a neck with "back bow" or one that
Guitar
Sony's first handheld analog controller for the PlayStation
standard controller, but shorter than the DualShock. The analog sticks are concave and lack the rubberised coating that has been used on the DualShock and
Dual_Analog_Controller
Extinct genus of bears
between A. pristinus and A. simus, with A. simus specimens possessing a concave jaw, large masseter and temporalis muscles, deeper horizontal ramus, and
Arctodus
1967 film allegedly containing footage of Bigfoot
proposes a new diagnostic test of authenticity, at the armpit: natural concave skin fold vs. artificial vertical crease. Munns' analysis has been featured
Patterson–Gimlin_film
Craft of making objects from clay
transfer images from etched plates onto 3D objects. The pad conforms to concave or irregular pottery shapes with ease. It remains the industry standard
Pottery
Animal ankle bones used for games and divination
sheep, are considered lucky, with horse being the luckiest. The sides with concave indents, goat and camel, are deemed unlucky; rolling all four sides on
Shagai
1996 video game
altering the colors, and can save and print the images. Convex and Concave is a game in which players are presented with perspective puzzles., where the
Escher_Interactive
Rogers before receiving his vibranium-steel shield. It is an unpainted concave triangular metal shield with the Double V for Victory design. For protection
List of Marvel Comics characters: J
List_of_Marvel_Comics_characters:_J
Flat-sided three-dimensional shape
the hosohedra) have no flat-faced analogue. If faces are allowed to be concave as well as convex, adjacent faces may be made to meet together with no
Polyhedron
Plane curve: conic section
travels parallel to the axis of symmetry of a parabola and strikes its concave side is reflected to its focus, regardless of where on the parabola the
Parabola
Artistic style in Europe and colonies, c. 1600–1750
themselves, which undulate and by concave and convex elements, including an oval tower and balcony inserted into a concave traverse. The interior was equally
Baroque
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