Utility Invariance in Non-Cooperative Games
نویسنده
چکیده
Game theory traditionally specifies players’ numerical payoff functions. Following the concept of utility invariance in modern social choice theory, this paper explores what is implied by specifying equivalence classes of utility function profiles instead. Within a single game, utility transformations that depend on other players’ strategies preserve players’ preferences over their own strategies, and so most standard non-cooperative solution concepts. Quantal responses and evolutionary dynamics are also considered briefly. Classical concepts of ordinal and cardinal non-comparable utility emerge when the solution is required to be invariant for an entire class of “consequentialist game forms” simultaneously. JEL Classification: C70, D11, D71.
منابع مشابه
Cooperative Benefit and Cost Games under Fairness Concerns
Solution concepts in cooperative games are based on either cost games or benefit games. Although cost games and benefit games are strategically equivalent, that is not the case in general for solution concepts. Motivated by this important observation, a new property called invariance property with respect to benefit/cost allocation is introduced in this paper. Since such a property can be regar...
متن کاملImproved Profitability and Competition in Two Level Supply Chain by Non-Cooperative Games
This article by modeling a non-cooperative dynamic game tries to improve profitability and competition. This paper has considered how the manufacturer interacts with multiple competitor distributors. Each distributor also determines the optimal distribution price and inventory replenishment policies to maximize their profits. The issue form a non-cooperative dynamic game. Distributors formulate...
متن کاملA TRANSITION FROM TWO-PERSON ZERO-SUM GAMES TO COOPERATIVE GAMES WITH FUZZY PAYOFFS
In this paper, we deal with games with fuzzy payoffs. We proved that players who are playing a zero-sum game with fuzzy payoffs against Nature are able to increase their joint payoff, and hence their individual payoffs by cooperating. It is shown that, a cooperative game with the fuzzy characteristic function can be constructed via the optimal game values of the zero-sum games with fuzzy payoff...
متن کاملPricing and Advertising Decisions in a Three-level Supply Chain with Nash, Stackelberg and Cooperative Games
Pricing and advertising are two important marketing strategies in the supply chain management which lead to customer demand’s increase and therefore higher profit for members of supply chains. This paper considers advertising, and pricing decisions simultaneously for a three-level supply chain with one supplier, one manufacturer and one retailer. The amount of market demand is influenced ...
متن کاملتقابل استراتژی بین دولت و بانک مرکزی در چارچوب بازی های همکارانه و غیرهمکارانه (کاربردی از بازی های دیفرانسیلی خطی درجه دوم)
In this paper we analyzed the strategic interaction between government and central bank in Iranian economy. Using dynamic differential games and Nash equilibrium within cooperative and non-cooperative setting, we try to find the optimal values of debt, deficit and monetary base. The results of simulation show that in cooperative case the level of equilibrium debt is lower than the non-cooperati...
متن کامل