Game theoretic model of venture capital investment

The study focuses on one case of modelling investment decision making when the decision maker has a minimum of information about the state of the environment. Venture capital investment is an example of such a case. The decision maker in this setting is an investor who makes a choice whether or not to invest in a venture capital project based on beliefs (opinions) about whether the project will be profitable in the future. Formalising the problem and proceeding to the mathematical model, we obtain a game with incomplete information, or Bayesian game. The players in this formulation are the Investor and the Project. In this case, we consider a set of states of nature (market) and a set of types that can be possessed by the player Project. Based on this, the profit functions of both players and the set of their strategies are formed. The Bayesian Nash Equilibrium is sought.