The Game

— A subject is an entity that structures itself around its objective.

— A player is already a participant in a confrontation, where the primary goal is to outplay others in the game. At the same time, the events occurring within the game can be transferred to the core of the player’s existence, becoming both the foundation and the catalyst for other processes.

Let us establish the ultimate goal of any game: to win, to triumph, to outthink others, and to outplay everyone. To achieve this, the player must become the sole remaining participant in the game.

A genuine game entails a variety of both simple and complex manipulations, involving not only the rules of the game but also its players. This includes the integration of diverse technologies, methodologies, resources, objects, “subjects,” “substrates,” and “entities.” The higher the level of the game, the more complex its content.

Hypothetical Stages in the Lifecycle of a Game

• 1.1 Formation — In a "low-density, inert" environment, new global players emerge within the system. This can range from ...0... to ... X.
• 1.2 Separation Stage — Players seek ways to enhance their strength. This involves utilizing both internal and external resources. Strengthening occurs through the absorption of opponents and the formation of alliances. Multiple such stages can occur until the game transitions to the “game of three.”
• 1.3 The Game of Three — This is a more stable phase of the game compared to the previous confrontation stages. Possible winning combinations include: 1+1 > 1; 1+1 < 1; 1 > 1 > 1.
• 1.4 The Game of Two — Winning combinations include: 1 = 1; 1 > 1; 1 < 1. In any case, a game of two represents a constrained, and ultimately unstable, variation of the game of three.

— A two-player confrontation inevitably leads to the formation of a third player, provided the environment in which the players exist has not entirely absorbed the sphere of influence. If a new, third player is successfully formed, the game resumes from phase 1.3.

Resolutions of a Two-Player Game:

• The defeat of one player after a direct confrontation.
• The decay of one player due to prolonged inactivity.

In any case, the game always involves strengthening through minor allies who have not advanced to the next stage of the third player or through external resources introduced from a higher level of the game.

• 1.5 Dominance Stage — One player emerges as the winner.
• 1.6 Game Dissipation — Partial or complete cessation of the game. If there is no room for expansion, the game may begin to disintegrate, with the player fragmenting into parts.

The demise of a player can result from:

• Aging — gradual decline to the “zero” point, followed by (1.7.) a "new formation stage."
• Self-destruction or a "decay process."
• The destruction of the environment, leading to the disappearance of the player. This could result in either 1.6.1 or 1.7, or a complete cessation of life within a specific segment of reality.

Game Elements

• Proportionally ranked players, ranging from 0 to ... X, are represented as integers or the symbol “a.”
• Players of other ranks.
• Internal objectives of players that constitute their essence.
• The ultimate goal of the game.
• Historical environmental factors that are products of previous games and broader history.

Models of Game Dynamics

3. Model of a Growing Game with "Identical" Players

a<a>a<(a+a+a)>a<a+a>a<a+(a+a+a+a)>a>a<a<a+(a+a+a+a) + ∞
a>a<a>a<(a+a+a)>a<a+a>a<a+(a+a+a+a)
a<a>a
a<a
a
0

4. Model of a Declining Game with Similar Players

a
a<a
a<a>a
a>a<a>a<(a+a+a)>a<a+a>a<a+(a+a+a+a)
a<a>a<(a+a+a)>a<a+a>a<a+(a+a+a+a)>a>a<a<a+(a+a+a+a) + ∞

5. Collapse of a Game with Identical Players

a
a<a>a<(a+a+a)>a<a+a>a<a+(a+a+a+a)>a>a<a<a+(a+a+a+a) + ∞

6. Model of a Growing-Decaying Game

a<a>a<(a+a+a)>a<a+a>a<a+(a+a+a+a)>a>a<a<a+(a+a+a+a)
a>a<a>a<(a+a+a)>a<a+a>a<a+(a+a+a+a)
a<a>a
a<a
a
a>a<a>a<(a+a+a)>a<a+a>a<a+(a+a+a+a)
a<a>a<(a+a+a)>a<a+a>a<a+(a+a+a+a)>a>a<a<a+(a+a+a+a) + ∞

Hierarchy of Games

The hierarchy of games has no intrinsic meaning or existence. It consists of identical players across different generations.

Methods of Player Enhancement

• Alliances among players of the same rank or with players from previous stages.
• Strengthening through internal or external resources.

Conditions for Drastic Changes in Game Progress

• Interference by an “external” player.
• "Cataclysms and crises."
• "Genius."
• "Chance."
• The “character” of the player or its components.
• "Fate."
• "Environmental conditions."
• "The unknown, the enigma."