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Many decisions in various fields of application have to take into account the joint effects of two elements that can interfere with each other. This happens, for example, in Medicine (synergic or antagonistic drugs), Agriculture (anti-cryptogamics), Public Economics (interfering economic policies), Industrial Economics (where the demand of an asset can be influenced by the supply of another asset),...
Inventory pooling, whether by centralization of stock or by mutual assistance, is known to be beneficial when demands are uncertain. But when the retailers are independent, the question is how to divide the benefits of pooling. e consider a decentralized inventorypooling scheme where a retailer’s entitlements to the allocation during a shortage depend on his/her contributions to the pool. We derive...
Based on the Bressan and Shen approach (Bressan and Shen, 2004; Shen, 2009), we present an extension of the class of non-zero sum differential games for which value functions are described by a weakly hyperbolic Hamilton–Jacobi system. The considered value functions are determined by a Pareto optimality condition for instantaneous gain functions, for which we compare two methods of the unique choice...
This paper presents a model of bank-loan repayment as a signaling game with a set of discrete types of borrowers. The type of borrower is the return on an investment project. A possibility of renegotiation of the loan agreement leads to an equilibrium in which the borrower adjusts the repaid amount to the liquidation value of its assets (from the bank’s point of view). In the equilibrium, there are...
Recently, in some negotiation application areas, the usual assumption that negotiators are symmetric has been relaxed. In particular, weights have been introduced to the Nash Bargaining Solution to reflect the different powers of the players. Yet, we feel that operating with non-symmetric bargaining solutions and their implications is not well understood. We analyze the properties and optimization...
In this paper, we analyze some values and power indices from a different point of view that are well-defined in the social context where the goods are public. In particular, we consider the Public Good index (Holler, 1982), the Public Good value (Holler and Li, 1995), the Public Help index (Bertini et al., 2008), the König and Bräuninger index (1998) also called the Zipke index (Nevison et al., 1978),...
The problem of seeking strong Nash equilibria of a continuous game is considered. For some games, these points cannot be found analytically, only numerically. Interval methods provide us with an approach to rigorously verify the existence of equilibria in certain points. A proper algorithm is presented. We formulate and prove propositions, that give us features which have to be used by the algorithm...
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