He has bought an old house in London for Aston and talks frequently about his projects and desires to expand.We argue that The Caretaker better illustrates the adequacy of the bargaining set, another solution concept introduced by Aumann and Maschler (1961; 1964).Like Kafka, Proust and Graham Greene he has charted a territory, a Pinterland with a distinct topography.
It is a play which traces the relationship of three men in a dilapidated house. Its theme is the fight for a room of ones own (Esslin, 2004, 247). The Caretaker focusses on what it means to take care and offer care, and the implications for interpersonal behavior when the balance of those things is impossible to achieve (Taylor-Batty, 2014, 42). This play indeed raises theoretical questions, chiefly related to what coalitions are likely to form and be stable (Brams, 2011, 11). Colmans (2008, 171) pioneering contribution addresses these questions specifically. His contribution builds on the work carried out by Howard (1971, 140-146), who also considered the problem of coalition formation, but from a different perspective than CGT. We build on the fact that leading Pinter scholars comments on The Caretaker (see, e. Esslin, 1970; 2004, and Billington, 2009) are not compatible with the idea that the play has a circular configuration, the opening and the ending reflecting each other. We claim to the contrary that The Caretaker better illustrates another solution concept in CGT, namely the bargaining set (later, we shall define this concept introduced by Aumann and Maschler, 1961; 1964). We make this claim on the basis that, as shown by Maschler (1978), and Kahan and Rapoport (1984), bargaining processes in settings like The Caretaker often end in a finite time and with payoff configurations close to elements of the bargaining set. We therefore show that The Caretaker can be used to illustrate the adequacy of the bargaining set as a solution concept in CGT. In section 1, we present the characters and the plot of The Caretaker. In section 3, building on the works made by leading Pinter scholars, we challenge the use of The Caretaker as an illustration of the inadequacy of the stable set. In section 4, we argue that The Caretaker better illustrates the notion of the bargaining set. Pinter explores an idea which often features in his plays: the disruptive intrusion of an outsider into an established and safe environment (Jenkins, 1991, 78). In The Caretaker, the struggle for a safe place is indeed a prime motive. It is obviously a specific play about three individuals and about the idea of a room as a temporary sanctuary from the outside world. But it is also a play about the domestic nature of power and about the shifting alliances we form as part of our survival tactic (Billington, 2009, 201). A window in the back wall, the bottom half covered by a sack. To the right of the window, a mound: a kitchen sink, a stepladder, a coal bucket, a lawn-mower, a shopping trolley, boxes, sideboard drawers. Mick, who is the younger of the two brothers, is a businessman in his late twenties.
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