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1 : mark 1
2 :    
3 :     \chapter{Agreements}
4 :    
5 :    
6 :     In philosophy and economimcs, promises are often mixed together with
7 :     the notions like contractsand agreements, and all considered to be
8 :     related. In our theory of $\mu$-promises, however, promises are a
9 :     fundamental unit from which we can derive these other concepts.
10 :    
11 :    
12 : mark 36 \section{Promise proposals and signing}\label{propose}
13 : mark 1
14 :     Promises can exist and be discussed without them ever having been
15 :     made or intended to be kept by an agent. We have used the notation
16 :     $\psi(\pi)$ for a description of the promise $\pi$. This description
17 :     must be adopted by an agent before it can be said to have made the promise.
18 :     It is therefore useful to maintain the idea of promise proposals.
19 :     \begin{definition}[Promise proposals]
20 :     The statement of a promise that is posited for consideration by one or
21 :     more parties, prior to keeping or discarding the promise.
22 :     \end{definition}
23 :    
24 :     Promise proposals are often discussed as part of treaty negotiations
25 :     and commercial relationships. The terminology of these proposals is
26 :     somewhat confused, so we define our own terminology below.
27 :    
28 :     \begin{definition}[Signing a proposal]
29 :     The concept of signing a proposal is to attach an agent's identity to
30 :     is as a promise to use the proposal.
31 :     \end{definition}
32 :    
33 :    
34 :     \section{The notion of an agreement}\label{contracts}
35 :    
36 :     Not all agreements involve promises. An agreement is simply the
37 :     arrival at a common conclusion by two individuals. For example, two
38 :     parties can agree that $2+2=4$.
39 :     \begin{definition}[Agreement]
40 : mark 38 A state of acceptance about a proposal that is shared between two or more parties.
41 : mark 1 \end{definition}
42 :     Two agents may or may not know about their common state of agreement.
43 :    
44 :     Agreement about some body of information can be turned into a promise
45 :     however if we phrase the acceptance as a promise, usually by
46 :     signing. If all parties promise that a set of proposals will be
47 :     honoured, then an agreement may be expressed as a promise to keep some
48 :     specification or promise proposals. This may be called the {\em body}
49 :     of the agreement. The term contract is also used here.
50 :    
51 :     \begin{definition}[Contract]
52 : mark 38 A bilateral bundle of promise proposals between two agents, that is
53 : mark 1 intended to serve as the body of an agreement.
54 :     \end{definition}
55 :    
56 :     Agreements are often assumed to be about policies or actions
57 :     (agreements to act) and are often formalized using contracts in which
58 :     case both parties agree to the terms of a common contract.
59 :    
60 :     \bigskip
61 :     \begin{definition}[Promise agreement]
62 :     A promise agreement is a pair of use-promises between two parties to
63 : mark 38 acknowledge and adopt the body of a proposal.
64 : mark 1 \end{definition}
65 :     \bigskip
66 :    
67 :    
68 :    
69 :     \section{Legal agreements, terms and conditions}
70 :    
71 :     Many legal agreements may be considered sets of promises that define
72 :     hypothetical boundary conditions for an interaction between parties or
73 :     agents. The law is one such example. One expects the promises
74 :     described in the terms and conditions of the contract will rarely need
75 :     to be enforced, because one hopes that it will never reach such a
76 :     point, however the terms define a standard response to such
77 :     infractions. Legal contracts define what happens mainly at the edge
78 :     states of the behaviour one hopes to ensue.
79 :    
80 :     Note that a collection of promises is not necessarily consistent or
81 :     sustainable. An agreement has to be worked out so that it is of mutual
82 :     economic benefit to both parties, from each of their perspectives.
83 :     This, however, has to do with the economic sustainability of the
84 :     promises. An agent can clearly make a promise that it is in fact
85 :     incapable of keeping.
86 :    
87 :     \subsection{Example: Service Level Agreements}
88 :    
89 :     Promises to keep within certain behavioural limits are clearly
90 :     analogous to items that would be mentioned in Service Level
91 :     Agreements, and hence we expect to be able to use them, within a
92 :     suitable framework, to discuss Service Level Agreements. A promise,
93 :     however, is not an agreement by itself. We must first explore the
94 :     relationship between promises and agreements.
95 :    
96 :     A service contract, for example, would be a contract from an agent
97 :     that takes on the role of provider to another agent that has the role
98 :     of client. The body of the agreement consists of the promised
99 :     behaviours surrounding the delivery and consumption of a
100 :     service,. From this we may define a Service Level Agreement as
101 :    
102 :     \bigskip
103 :     \begin{definition}[Service Level Agreement]
104 :     An agreement between two agents whose body describes a contract
105 :     for service delivery and consumption.
106 :     \end{definition}
107 :     \bigskip
108 :    
109 :     We can supplment this with defintions of the roles\cite{siri1}.
110 :    
111 :     \section{Cooperative agreement or treaty negotiation}
112 :    
113 :     If two agents agree to agree to behave according to the same standard
114 :     as one another, then their common agreement is the intersection.
115 :     \begin{definition}[Agreement]
116 :     \beq
117 :     \frac{a \promise{C(\pi_1)} b, b \promise{C(\pi_2)} a}
118 :     {a \stackrel{\pi_1\cap\pi_2}{\leftrightarrow} b}
119 :     \eeq
120 :     We still have to decide what this actually means.
121 :     \end{definition}
122 :     This clarifies the process and limitations of an agreement.. Each
123 :     party might promise asymmetrically to keep certain behaviours, but the
124 :     overlap is the only part on which they agree. Note that neither party
125 :     can be subordinate to the other in such an agreement.
126 :    
127 :    
128 :     \section{Conract economics}
129 :    
130 :     There is more to be said about contracts and agreements in connection
131 :     with the economics of promises. See section \ref{pam}.

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