Question: Which game is mathematical, Acronymble or Rithmomachy?
Context: Q-analysis is a mathematical framework to describe and analyze structures.  These structures are based on sets.  This idea was first introduced by Ronald Atkin in the early 1970s.  Atkin was a British mathematician teaching at the University of Essex.  Crediting the inspiration of his idea to Clifford Dowker’s paper (Homology Groups of Relations, Annals of Math, 1952), he became interested in the algebra of relations in social structures.  He tried to explain his idea in both mathematical and also accessible forms to both technical and general audience.  His main ideas are reflected in The Mathematical Structure of Human Affairs (1974).  That book covers the key ideas in q-analysis and its application to a wide range of examples, like analyzing game of chess, urban structures, politics at university, people and complexes, works of abstract art, and to physics.  He contended that q-analysis can be considered as a powerful generalized method wherever we are dealing with relationships among sets. Ulam's game, or the Rényi–Ulam game, is a mathematical game similar to the popular game of twenty questions where one attempts to guess an unnamed object with yes–no questions, but where some of the answers may be wrong.  introduced the game, though his paper was overlooked for many years.  Rényi [69] reported the following story about the Jew Bar Kochba in 135 CE, who defended his fortress against the Romans.  It is also said that Bar Kochba sent out a scout to the Roman camp who was captured and tortured, having his tongue cut out.  He escaped from captivity and reported back to Bar Kochba, but being unable to talk, he could not tell in words what he had seen.  Bar Kochba accordingly asked him questions which he could answer by nodding or shaking his head.  Thus he acquired from his mute scout the information he needed to defend the fortress.  rediscovered the game, presenting the idea that there are a million objects and the answer to one question can be wrong.  gave a survey of similar games and their relation to information theory. Evolutionary dynamics is the study of the mathematical principles according to which biological organisms as well as cultural ideas evolve, evolved, and continue to evolve.  This is mostly achieved through the mathematical discipline of population genetics, along with evolutionary game theory.  Most population genetics considers changes in the frequencies of alleles at a small number of gene loci.  When infinitesimal effects at a large number of gene loci are considered, one derives quantitative genetics.  Traditional population genetic models deal with alleles and genotypes, and are frequently stochastic.  In evolutionary game theory, developed first by John Maynard Smith, evolutionary biology concepts may take a deterministic mathematical form, with selection acting directly on inherited phenotypes.  These same models can be applied to studying the evolution of human preferences and ideologies.  Many variants on these models have been developed, which incorporate weak selection, mutual population structure, stochasticity, etc.  These models have relevance also to the generation and maintenance of tissues in mammals, since an understanding of tissue cell kinetics, architecture, and development from adult stem cells has important implications for aging and cancer. Verbal arithmetic, also known as alphametics, cryptarithmetic, cryptarithm or word addition, is a type of mathematical game consisting of a mathematical equation among unknown numbers, whose digits are represented by letters.  The goal is to identify the value of each letter.  The name can be extended to puzzles that use non-alphabetic symbols instead of letters. Nikolai Nikolayevich Vorobyov (also Vorobiev) (Russian: Николай Николаевич Воробьёв , 18 September 1925, Leningrad — July 14, 1995) was a Soviet and Russian mathematician, an expert in the field of abstract algebra, mathematical logic and probability theory, the founder of the Soviet school of game theory.  He is an author of two textbooks, three monographs, a large number of mathematical articles and a number of popular science books.  He supervised over 30 kandidat and doktor dissertations. The combinatorial game Toads and Frogs is a partisan game invented by Richard Guy.  This mathematical game was used as an introductory game in the book Winning Ways for your Mathematical Plays. Rithmomachy (or Rithmomachia, also Arithmomachia, Rythmomachy, Rhythmomachy, or sundry other variants; sometimes known as The Philosophers' Game) is a highly complex, early European mathematical board game.  The earliest known description of it dates from the eleventh century.  A literal translation of the name is "The Battle of the Numbers".  The game is much like chess, except most methods of capture depend on the numbers inscribed on each piece. Mathematical Social Sciences is a peer-reviewed mathematics journal in the field of social science, in particular economics.  The journal covers research on mathematical modelling in fields such as economics, psychology, political science, and other social sciences, including individual decision making and preferences, decisions under risk, collective choice, voting, theories of measurement, and game theory. Acronymble is a board game that came on the market in 1991.  It challenges players to create funny acronyms (known as "noodles") from a random sequence of letters. A mathematical game is a game whose rules, strategies, and outcomes are defined by clear mathematical parameters.  Often, such games have simple rules and match procedures, such as Tic-tac-toe and Dots and Boxes.  Generally, mathematical games need not be conceptually intricate to involve deeper computational underpinnings.  For example, even though the rules of Mancala are relatively basic, the game can be rigorously analyzed through the lens of combinatorial game theory.
Answer: Rithmomachy