Competitive Environments and Protective Behaviour

The class of two-person competition games is introduced and analyzed.For any game in this class the set of Nash equilibria is convex, equilibrium strategies are exchangeable, and all Nash equilibria lead to the same payoff vector. Competition games are compared to other competitive environments such as unilaterally competitive games and rivalry games.Moreover, protective behaviour within competitive environments is analyzed.For matrix games it is known that protective strategies pro¯les exactly correspond to proper equilibria.It is shown that this result can be extended to the class of unilaterally competitive games.competitive environments;unilaterally competitive games;rivalry games;competition games;protective strategies

On Properness and Protectiveness in Two Person Multicriteria Games

This paper extends the concepts of proper equilibria, protective behaviour and prudent behaviour to multicriteria games.Three types of proper equilibria based on different types of domination are introduced.It is shown that protective behaviour coincides with prudent behaviour.Possible relations and existence are analyzed.Multicriteria games;proper;protective;prudent

Sequencing Situations and Games with Non-Linear Cost Functions

This paper studies sequencing situations with non-linear cost functions. We show that the neighbor switching gains are now time-dependent, in contrast to the standard sequencing situations with linear cost functions, which complicate finding an optimal order and stable allocations. We derive conditions on the time-dependent neighbor switching gains in a (general) sequencing situation to guarantee convexity of the associated sequencing game. Moreover, we provide two procedures that uniquely specify a path from the initial order to an optimal order and we define two corresponding allocation rules that divide the neighbor switching gains equally in every step of the path. We show that the same conditions on the gains also guarantee stability for the allocations prescribed by these rules

Competitive Environments and Protective Behaviour

The class of two-person competition games is introduced and analyzed.For any game in this class the set of Nash equilibria is convex, equilibrium strategies are exchangeable, and all Nash equilibria lead to the same payoff vector. Competition games are compared to other competitive environments such as unilaterally competitive games and rivalry games.Moreover, protective behaviour within competitive environments is analyzed.For matrix games it is known that protective strategies pro¯les exactly correspond to proper equilibria.It is shown that this result can be extended to the class of unilaterally competitive games.

Protective Behavior in Games

This paper introduces the notion of protective equilibrium in the context of fin ite games in strategic form.It shows that for matrix games the set of protective equilibria equals the set of proper equilibria.Moreover, in the context of bima trix games, the notion of protective behaviour is used as a refinement tool

Characterizing Cautious Choice

The class of maximin actions in general decision problems is characterized.Maximin actions;Decision problems

Transfers, Contracts and Strategic Games

This paper analyses the role of transfer payments and strategic con- tracting within two-person strategic form games with monetary pay- offs. First, it introduces the notion of transfer equilibrium as a strat- egy combination for which individual stability can be supported by allowing the possibility of transfers of the induced payoffs. Clearly, Nash equilibria are transfer equilibria, but under common regularity conditions the reverse is also true. This result typically does not hold for finite games without the possibility of randomisation, and transfer equilibria for this particular class are studied in some detail. The second part of the paper introduces, also within the setting of finite games, contracting on monetary transfers as an explicit strategic option, resulting in an associated two-stage contract game. In the first stage of the contract game each player has the option of proposing transfer schemes for an arbitrary collection of outcomes. Only if the players fully agree on the entire set of transfer proposals, the payoffs of the game to be played in the second stage are modified accordingly. The main results provide explicit characterisations of the sets of payoff vectors that are supported by Nash equilibrium and virtual subgame perfect equilibrium, respectively.monetary transfer scheme;transfer equilibrium;contract game;virtual subgame perfect equilibrium;Folk theorems

Protective Behavior in Games

This paper introduces the notion of protective equilibrium in the context of fin ite games in strategic form.It shows that for matrix games the set of protective equilibria equals the set of proper equilibria.Moreover, in the context of bima trix games, the notion of protective behaviour is used as a refinement tool.game theory;strategy