Question: Are Agon and Medina both games for exactly two players?

Context articles: Omaha hold 'em
Cycle double cover
Heads up poker
Agon (game)
Googlewhack
Medina (board game)
Mansfield Hawks
The City Beneath
T-MEK
GMR (magazine)

Omaha hold 'em (also known as Omaha holdem or simply Omaha) is a community card poker game similar to Texas hold 'em, where each player is dealt four cards and must make his or her best hand using exactly two of them, plus exactly three of the five community cards.
 The exact origin of the game is unknown, but casino executive Robert Turner first brought Omaha into a casino setting when he introduced the game to Bill Boyd, who offered it as a game at the Las Vegas Golden Nugget Casino (calling it "Nugget Hold'em").
 Omaha uses a 52-card French deck.
 Limit Omaha hold 'em 8-or-better is the "O" game featured in H.O.R.S.E.
 Both limit Omaha/8 and pot limit Omaha high are featured in the 8-Game.
In graph-theoretic mathematics, a cycle double cover is a collection of cycles in an undirected graph that together include each edge of the graph exactly twice.
 For instance, for any polyhedral graph, the faces of a convex polyhedron that represents the graph provide a double cover of the graph: each edge belongs to exactly two faces.
Heads up poker is a form of poker that is played between only two players.
 It might be played during a larger cash game session, where the game is breaking up and only two players remain on the table, or where two players are trying to start a game and playing heads-up while waiting for other opponents.
 It is also a necessary phase in most sit-and-go (SNG) poker tournaments; the single remaining tournament winner will at some point have to face only a single opponent.
 Alternatively, heads up poker may be played on purpose, either in a cash game format, or as a SNG, where two players play a winner-take-all tournament for a fixed, previously agreed upon amount of money.
 On larger online poker rooms and during certain tournament series, one may stumble upon larger heads up tournaments, usually in the shoot-out format.
 Usually, in order to ensure the fairness of the game, all players finishing at the same level of the tournament bracket will be paid out the same amount of money, no matter what their finishing place is.
Agon (or Queen's Guard, Queen's Guards, Royal Guards) is a strategy game for two players, played on a 6×6×6 hexagonal gameboard.
A Googlewhack is a contest for finding a Google search query consisting of exactly two words without quotation marks, that returns exactly one hit.
 A Googlewhack must consist of two actual words found in a dictionary.
 A Googlewhack is considered legitimate if both of the searched-for words appear in the result page.
 For example, typing an asterisk (*) into the Google Search Bar turns up no results.
Medina is a board game designed by Stefan Dorra and published by Hans im Glück and Rio Grande Games in 2001.
 In the game, three or four players compete to be the most influential developer of Medina, a desert city near the Atlas Mountains in 1822.
 Variations of the game allow 2 or 5 players.
 The game was nominated for the 2001 Deutscher Spiele Preis and the 2003 Jeu de l'année, but won neither prize.
The Mansfield Hawks were an International Basketball Association (IBA) professional basketball team that existed for exactly two basketball seasons in 1998-99 and 1999-2000.
 After a successful inaugural season, the Hawks won the IBA championship in their second, and final, season of existence.
 They were guided by local, but infamous, coach Kevin Mackey.
 One of the Hawks' notable players was 7 ft 2 in, 315 pound center Garth Joseph, a dominating presence with a physical appearance resembling Shaquille O'Neal.
 The team played its home games in the gymnasium of Malabar Middle School in Mansfield, Ohio.
The City Beneath is the third computer puzzle game in "Deadly Rooms of Death" series published by Caravel Games.
 It was released on 1 April 2007, exactly two years after its predecessor, "Journey to Rooted Hold".
 Linux and Mac OS X versions were immediately available along with the main Windows version.
T-MEK is a two-player, sit-down, virtual reality fighting arcade game developed by Atari Games and published by Time Warner Interactive in 1994.
 Each player can choose their MEK (a hovering tank with special weapons and abilities).
 One player can play against 6 AI players and the occasional boss, or two players can play against each other and 4 AI players.
 There is a special tournament mode where two players can go one on one.
 Up to three "T-MEK" cabinets can be linked for six-player competitions.
 "T-MEK" was later ported to MS-DOS and the Sega 32X; rather than linking multiple systems together, the home versions featured split-screen multiplayer for two players.
GMR was a monthly magazine on video games that was published by Ziff-Davis — the publisher of such magazines as "PC Magazine", "Electronic Gaming Monthly", and "Computer Gaming World" (later "").
 "GMR" was launched in February 2003, being sold in only the Electronics Boutique (EB) chain of video game stores.
 The magazine was unusual among multiconsole magazines in that it covered PC as well as console games, as well as its minimalistic cover art, and, in its last few months, its shift in focus toward promotion of less mainstream titles.
 It lasted exactly two years, as the 25th and last issue (which was only sent to subscribers) was the February 2005 edition (though prints were limited and not even all subscribers received the final issue).