Twopersontwoobject

Twopersontwoobject is a term used in game theory and decision science to describe a class of problems involving two agents and two distinct objects or resources. In this setting, each player selects an action that targets one of the two objects, and the resulting payoffs depend on the joint action with respect to both objects. The model can be viewed as a composition of two parallel subgames, one per object, with the individual outcomes combined to form total payoffs for each player.

Formal representation in common treatments defines two players P1 and P2 with action sets {a1, a2} and {b1, b2}, and two objects O1 and O2. Each object yields a payoff function that depends on the pair of actions, and the total payoff to a player is typically the sum (or another aggregation) of the payoffs obtained from O1 and O2. The framework is versatile: payoffs may be additive, or interdependent across objects, and information may be complete or incomplete.

Applications of 2P2O include resource allocation, scheduling, and coordination tasks where two agents must decide how to divide attention or effort between two tasks. The analysis typically focuses on equilibrium outcomes, efficiency, and robust strategies under various information structures. The term is not universally standardized; related approaches appear under multi-task or two-task game descriptions, and may be discussed alongside two-player games, coordination games, and parallel games.