Differential game models of corruption in normal form and in the form of characteristic function in resource allocation are considered. The Nash equilibrium and Shapley value are found in the explicit form, ib the second case an imputation distribution procedure provididng the time consistency is described. Corruption in resource allocation is a very important socio-economic phenomenon which is well modeled by differential games. The time inconsistency means that the illegal collusion is not stable which has a big practical importance. The related work is discussed, an organizational-economic interpretation of the model is given.

Keywords: differential games, corruption, imputation distribution procedure, resource allocation

A dynamic cooperative games formalization of the problem of concordance of interests of the social partnership agents the the system of continuing professional education is proposed. The setup based on the previously considered differential games in normal form. The time consistency problem and its sociological interpretation are discussed.

Keywords: differential games in normal form, differential cooperative games, time consistency, continuing professional education, social partnership

A game-theoretic dynamic model of social partnership in the system of continuing professional education is proposed and investigated in the simulation mode on the base of scenario method. The processing of modeling data includes a comparative analysis of state variable and payoff functionals. Results of the model identification and investigation based on simulation modeling are considered. A comparative analysis of egoistic and cooperative approaches to the social partnership is conducted.

Keywords: social partnership, continuing professional education, simulation modeling, identification, difference games

A cooperative game theoretic model of dynamics of the trust level between subjects of the system of optional professional education is proposed. Some approaches to the model identification and investigation based on simulation modeling and differential cooperative game theory are considered.

Keywords: social partnership, optional professional education, differential cooperative games, simulation modeling, identification

Relations between subjects of the system of social partnership in the domain of optional professional education are modeled by a voting game. For the 3-person voting game a comparative analysis of such optimality principles as C-core, NM-decision, and Shapley value for the typical values of the players' voices is conducted.

Keywords: social partnership, optional professional education, voting games, C-core, NM-decision, Shapley value