question: Which game can have more players: Quarto or Risk?
answer: Risk
context: Title: Risk dominance
  Passage: Risk dominance and payoff dominance are two related refinements of the Nash equilibrium (NE) solution concept in game theory, defined by John Harsanyi and Reinhard Selten.  A Nash equilibrium is considered payoff dominant if it is Pareto superior to all other Nash equilibria in the game.  When faced with a choice among equilibria, all players would agree on the payoff dominant equilibrium since it offers to each player at least as much payoff as the other Nash equilibria.  Conversely, a Nash equilibrium is considered risk dominant if it has the largest basin of attraction (i.e. is less risky).  This implies that the more uncertainty players have about the actions of the other player(s), the more likely they will choose the strategy corresponding to it.
  Title: Bloody knuckles
  Passage: Bloody knuckles is a game in which each player makes a fist with the thumb wrapped around the other fingers.  Then each fist punches the others fist.  Players who flinch are out of the game.  Whoever lasts the longest before quitting wins the game.  The game is played until someone's knuckles are bleeding or suddenly they quit due to excessive pain.  Variations include simultaneous or alternate punching, and games in which the strike is the loser's punishment/winner's privilege.  In the first two ways of playing the game, violence, though essentially consensual, is inherent, not a risk.  Almost all ways of playing are dangerous, carrying the risk of injury, scarring, and damage to one's bones and hand.
  Title: Risk (game)
  Passage: Risk is a strategy board game of diplomacy, conflict and conquest for two to six players.  The standard version is played on a board depicting a political map of the earth, divided into forty-two territories, which are grouped into six continents. Turn rotates among players who control armies of playing pieces with which they attempt to capture territories from other players, with results determined by dice rolls.  Players may form and dissolve alliances during the course of the game.  The goal of the game is to occupy every territory on the board and in doing so, eliminate the other players.  The game can be lengthy, requiring several hours to multiple days to finish.  European versions are structured so that each player has a limited "secret mission" objective that shortens the game.
  Title: Quarto (board game)
  Passage: Quarto is a board game for two players invented by Swiss mathematician Blaise Müller in 1991.  It is published and copyrighted by Gigamic.
  Title: Risk: Global Domination
  Passage: Risk: Global Domination is a game for the PlayStation 2 (an Xbox version was canceled), about the very popular board game, "Risk".  It was released in 2003.  In "Risk: Global Domination", the player tries to dominate the world by defeating eleven famous generals.  When players accomplish certain goals they achieve medals such as, the Medal of Jasonic Meret, which is achieved by winning their 10th career game, the Order of the Liberator, which is awarded when conquering the 100th, and Dominato Veinti, which is awarded after achieving all 33 other medals.  There are 34 medals to earn total.
  Title: Risk Godstorm
  Passage: Risk Godstorm is a "Risk" variant board game published by Avalon Hill and designed by Mike Selinker with developers Richard Baker and Michael Donais.  The cultures of the Celts, Norse, Greeks, Egyptians, and Babylonians clash for supremacy of the ancient world.  Players invade territories, play miracle cards, sink Atlantis, and conquer the underworld.  The latter is a significant addition to the "Risk" series, as soldiers do not leave the game when they are killed, but instead go to their heavens and then embark to take over the underworld.
  Title: Knife game
  Passage: The knife game, pinfinger, nerve, bishop, stabscotch, five finger fillet (FFF), or"stab between the fingers game", is a game wherein, placing the palm of one's hand down on a table with fingers apart, using a knife (such as a pocket or pen knife), or other sharp object, one attempts to stab back and forth between one's fingers, moving the object back and forth, trying to not hit one's fingers.  The order in which the spaces between the fingers are stabbed varies.  In the following examples, the spaces are numbered 1 (behind the thumb) through 6 (after the little finger).  The game is intentionally dangerous, exposing players to the risk of injury and scarring, and, before antibiotics, an incision or penetration risked sepsis and death.  A foldable blade carries the additional danger that, "as the faster you go, the more likely the blade will fold back in on itself trapping the finger of your stabbing hand."  It may be played much more safely by using another object, such as the eraser side of a pencil.  In European culture it is traditionally considered a boys' game.  However, its focus on motor coordination and dexterity is comparable to girls' clapping games.
  Title: Health issues in American football
  Passage: Health issues in American football comprise a large number of health risks associated with participating in the sport.  Injuries are relatively common in American football, due to its nature as a full-contact game.  Injuries occur during both practice and games.  Several factors can affect the frequency of injuries: epidemiological studies have shown older players can be at a greater risk, while equipment and experienced coaches can reduce the risk of injury.  Common injuries include strains, sprains, fractures, dislocations, and concussions. Concussions have become a concern, as they increase the risk of mental illnesses like dementia and chronic traumatic encephalopathy (CTE).  In individual leagues like the National Football League (NFL) and National Collegiate Athletic Association (NCAA), a public injury report is published containing all injured players on a team, their injury and the game-day status of each player.
  Title: Risk: Factions
  Passage: Risk: Factions is a downloadable video game for Xbox 360's Xbox Live Arcade service (discontinued as of 2014), PlayStation 3's PlayStation Network, and Windows computers through Steam.  The game was announced on January 12, 2010 for Xbox 360, December 21, 2010 for PlayStation 3, and March 8, 2011 for Windows.  It is based on Hasbro's popular board game, "Risk".  The game has both single player and online modes of play.  The single player campaign is divided into 5 chapters.  Each chapter unlocks one of the game's five factions.  The gameplay in the single player campaign is similar to that of the 2008 Risk rule set.  Players must complete three objectives and have control of their capital to win the game.  Alternatively, a player may defeat all the opponents to win the game as well.
  Title: Card counting
  Passage: Card counting is a casino card game strategy used primarily in the blackjack family of casino games to determine whether the next hand is likely to give a probable advantage to the player or to the dealer.  Card counters are a class of advantage players, who attempt to decrease the inherent casino house edge by keeping a running tally of all high and low valued cards seen by the player.  Card counting allows players to bet more with less risk when the count gives an advantage as well as minimize losses during an unfavorable count.  Card counting also provides the ability to alter playing decisions based on the composition of remaining cards.
citations: Quarto (board game) Risk (game)