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Limited Foresight Equilibrium

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  • Rampal, Jeevant

Abstract

This paper models a scenario where finite perfect-information games are distorted in two ways. First, each player can have different possible levels of foresight, where foresight is a particular number of future stages that the player can observe/understand from each of her moves. In particular, each player's foresight is allowed to be “limited” or insufficient to observe the entire game from each move. Second, there is uncertainty about each opponent's foresight. I define the Limited Foresight Equilibrium (LFE) for this model. An LFE specifies how limited-foresight players' strategies and beliefs about opponents' foresight evolve as they move through the stages of the game. I show the existence of LFE and describe its other properties. I show that in LFE limited-foresight players follow simple heuristics for beliefs and actions. As applications, LFE is shown to rationalize experimental findings on Sequential Bargaining and the Centipede game.

Suggested Citation

  • Rampal, Jeevant, 2022. "Limited Foresight Equilibrium," Games and Economic Behavior, Elsevier, vol. 132(C), pages 166-188.
    • Handle: RePEc:eee:gamebe:v:132:y:2022:i:c:p:166-188
    DOI: 10.1016/j.geb.2022.01.001
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    More about this item

    Keywords

    Foresight; Sequential equilibrium; Sequential bargaining; Centipede game;
    All these keywords.

    JEL classification:

    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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